[{"type":"conference","status":"public","series_title":"Methoden und Beschreibungssprachen zur Modellierung und Verifikation von Schaltungen und Systemen (MBMV)","user_id":"5786","department":[{"_id":"672"}],"_id":"39360","language":[{"iso":"eng"}],"citation":{"ama":"Krupp A, Müller W. Formale Verfeinerung und Modelchecking von zeitbehafteten endlichen Automaten. Published online 2003.","ieee":"A. Krupp and W. Müller, “Formale Verfeinerung und Modelchecking von zeitbehafteten endlichen Automaten.” Bremen, 2003.","chicago":"Krupp, Alexander, and Wolfgang Müller. “Formale Verfeinerung Und Modelchecking von Zeitbehafteten Endlichen Automaten.” Methoden Und Beschreibungssprachen Zur Modellierung Und Verifikation von Schaltungen Und Systemen (MBMV). Bremen, 2003.","apa":"Krupp, A., &#38; Müller, W. (2003). <i>Formale Verfeinerung und Modelchecking von zeitbehafteten endlichen Automaten</i>.","mla":"Krupp, Alexander, and Wolfgang Müller. <i>Formale Verfeinerung Und Modelchecking von Zeitbehafteten Endlichen Automaten</i>. 2003.","bibtex":"@article{Krupp_Müller_2003, place={Bremen}, series={Methoden und Beschreibungssprachen zur Modellierung und Verifikation von Schaltungen und Systemen (MBMV)}, title={Formale Verfeinerung und Modelchecking von zeitbehafteten endlichen Automaten}, author={Krupp, Alexander and Müller, Wolfgang}, year={2003}, collection={Methoden und Beschreibungssprachen zur Modellierung und Verifikation von Schaltungen und Systemen (MBMV)} }","short":"A. Krupp, W. Müller, (2003)."},"place":"Bremen","year":"2003","author":[{"first_name":"Alexander","last_name":"Krupp","full_name":"Krupp, Alexander"},{"first_name":"Wolfgang","id":"16243","full_name":"Müller, Wolfgang","last_name":"Müller"}],"date_created":"2023-01-24T09:36:32Z","date_updated":"2023-01-24T09:36:37Z","title":"Formale Verfeinerung und Modelchecking von zeitbehafteten endlichen Automaten"},{"status":"public","type":"conference","publication":"Proceedings of FDL'03","language":[{"iso":"eng"}],"_id":"39368","user_id":"5786","department":[{"_id":"672"}],"year":"2003","place":"Frankfurt, Germany","citation":{"ama":"Krupp A, Müller W. Combining Formal Refinement and Model Checking for Analysis of Realtime Systems. In: <i>Proceedings of FDL’03</i>. ; 2003.","ieee":"A. Krupp and W. Müller, “Combining Formal Refinement and Model Checking for Analysis of Realtime Systems,” 2003.","chicago":"Krupp, Alexander, and Wolfgang Müller. “Combining Formal Refinement and Model Checking for Analysis of Realtime Systems.” In <i>Proceedings of FDL’03</i>. Frankfurt, Germany, 2003.","apa":"Krupp, A., &#38; Müller, W. (2003). Combining Formal Refinement and Model Checking for Analysis of Realtime Systems. <i>Proceedings of FDL’03</i>.","short":"A. Krupp, W. Müller, in: Proceedings of FDL’03, Frankfurt, Germany, 2003.","mla":"Krupp, Alexander, and Wolfgang Müller. “Combining Formal Refinement and Model Checking for Analysis of Realtime Systems.” <i>Proceedings of FDL’03</i>, 2003.","bibtex":"@inproceedings{Krupp_Müller_2003, place={Frankfurt, Germany}, title={Combining Formal Refinement and Model Checking for Analysis of Realtime Systems}, booktitle={Proceedings of FDL’03}, author={Krupp, Alexander and Müller, Wolfgang}, year={2003} }"},"title":"Combining Formal Refinement and Model Checking for Analysis of Realtime Systems","date_updated":"2023-01-24T09:53:06Z","author":[{"first_name":"Alexander","full_name":"Krupp, Alexander","last_name":"Krupp"},{"first_name":"Wolfgang","full_name":"Müller, Wolfgang","id":"16243","last_name":"Müller"}],"date_created":"2023-01-24T09:53:01Z"},{"title":"Formal Semantics of OCL Messages","author":[{"last_name":"Flake","full_name":"Flake, Stephan","first_name":"Stephan"},{"full_name":"Müller, Wolfgang","id":"16243","last_name":"Müller","first_name":"Wolfgang"}],"date_created":"2023-01-24T09:54:09Z","date_updated":"2023-01-24T09:54:24Z","citation":{"short":"S. Flake, W. Müller, in: Proceedings of the Workshop OCL 2.0 at UML 2003, San Francisco, USA, 2003.","bibtex":"@inproceedings{Flake_Müller_2003, place={San Francisco, USA}, title={Formal Semantics of OCL Messages}, booktitle={Proceedings of the Workshop OCL 2.0 at UML 2003}, author={Flake, Stephan and Müller, Wolfgang}, year={2003} }","mla":"Flake, Stephan, and Wolfgang Müller. “Formal Semantics of OCL Messages.” <i>Proceedings of the Workshop OCL 2.0 at UML 2003</i>, 2003.","apa":"Flake, S., &#38; Müller, W. (2003). Formal Semantics of OCL Messages. <i>Proceedings of the Workshop OCL 2.0 at UML 2003</i>.","ama":"Flake S, Müller W. Formal Semantics of OCL Messages. In: <i>Proceedings of the Workshop OCL 2.0 at UML 2003</i>. ; 2003.","ieee":"S. Flake and W. Müller, “Formal Semantics of OCL Messages,” 2003.","chicago":"Flake, Stephan, and Wolfgang Müller. “Formal Semantics of OCL Messages.” In <i>Proceedings of the Workshop OCL 2.0 at UML 2003</i>. San Francisco, USA, 2003."},"year":"2003","place":"San Francisco, USA","language":[{"iso":"eng"}],"department":[{"_id":"672"}],"user_id":"5786","_id":"39369","status":"public","abstract":[{"lang":"eng","text":"The latest OCL 2.0 proposal provides two semantic descriptions, i.e., a metamodel based semantics that uses UML itself to associate the semantic domain with the language concepts and a formal semantics based on a set-theoretic approach called object model. Unfortunately, these two semantics are currently neither consistent nor complete, as (a) the formal semantics does not consider the newly introduced concept of OCL messages and (b) both semantics lack an integration of Statecharts and a semantic denition of state-related operations. This article focuses on a formal semantics for OCL messages as a foundation for consistency among,the two OCL semantics. We extend object models and present an extended denition of a system state that comprises all relevant information to be able to evaluate OCL expressions also w.r.t. OCL messages."}],"publication":"Proceedings of the Workshop OCL 2.0 at UML 2003","type":"conference"},{"doi":"10.1049/el:20030933","title":"40 Gbit/s CSRZ-DPSK transmission system with signed online chromatic dispersion detection","volume":39,"author":[{"last_name":"Milivojevic","full_name":"Milivojevic, B","first_name":"B"},{"last_name":"Sandel","full_name":"Sandel, D","first_name":"D"},{"first_name":"S","last_name":"Bhandare","full_name":"Bhandare, S"},{"first_name":"Reinhold","last_name":"Noé","orcid":"https://orcid.org/0000-0002-5839-7616","id":"381","full_name":"Noé, Reinhold"},{"first_name":"F","full_name":"Wust, F","last_name":"Wust"}],"date_created":"2023-01-23T18:21:58Z","date_updated":"2023-01-25T15:49:23Z","intvolume":"        39","page":"1455-1456","citation":{"ieee":"B. Milivojevic, D. Sandel, S. Bhandare, R. Noé, and F. Wust, “40 Gbit/s CSRZ-DPSK transmission system with signed online chromatic dispersion detection,” <i>ELECTRONICS LETTERS</i>, vol. 39, no. 20, pp. 1455–1456, 2003, doi: <a href=\"https://doi.org/10.1049/el:20030933\">10.1049/el:20030933</a>.","chicago":"Milivojevic, B, D Sandel, S Bhandare, Reinhold Noé, and F Wust. “40 Gbit/s CSRZ-DPSK Transmission System with Signed Online Chromatic Dispersion Detection.” <i>ELECTRONICS LETTERS</i> 39, no. 20 (2003): 1455–56. <a href=\"https://doi.org/10.1049/el:20030933\">https://doi.org/10.1049/el:20030933</a>.","ama":"Milivojevic B, Sandel D, Bhandare S, Noé R, Wust F. 40 Gbit/s CSRZ-DPSK transmission system with signed online chromatic dispersion detection. <i>ELECTRONICS LETTERS</i>. 2003;39(20):1455-1456. doi:<a href=\"https://doi.org/10.1049/el:20030933\">10.1049/el:20030933</a>","apa":"Milivojevic, B., Sandel, D., Bhandare, S., Noé, R., &#38; Wust, F. (2003). 40 Gbit/s CSRZ-DPSK transmission system with signed online chromatic dispersion detection. <i>ELECTRONICS LETTERS</i>, <i>39</i>(20), 1455–1456. <a href=\"https://doi.org/10.1049/el:20030933\">https://doi.org/10.1049/el:20030933</a>","bibtex":"@article{Milivojevic_Sandel_Bhandare_Noé_Wust_2003, title={40 Gbit/s CSRZ-DPSK transmission system with signed online chromatic dispersion detection}, volume={39}, DOI={<a href=\"https://doi.org/10.1049/el:20030933\">10.1049/el:20030933</a>}, number={20}, journal={ELECTRONICS LETTERS}, author={Milivojevic, B and Sandel, D and Bhandare, S and Noé, Reinhold and Wust, F}, year={2003}, pages={1455–1456} }","mla":"Milivojevic, B., et al. “40 Gbit/s CSRZ-DPSK Transmission System with Signed Online Chromatic Dispersion Detection.” <i>ELECTRONICS LETTERS</i>, vol. 39, no. 20, 2003, pp. 1455–56, doi:<a href=\"https://doi.org/10.1049/el:20030933\">10.1049/el:20030933</a>.","short":"B. Milivojevic, D. Sandel, S. Bhandare, R. Noé, F. Wust, ELECTRONICS LETTERS 39 (2003) 1455–1456."},"year":"2003","issue":"20","publication_identifier":{"issn":["0013-5194"]},"language":[{"iso":"eng"}],"department":[{"_id":"56"}],"user_id":"14931","_id":"38422","status":"public","publication":"ELECTRONICS LETTERS","type":"journal_article"},{"year":"2003","citation":{"ama":"Sandel D, Mirvocla V, Wust F, Noé R. Robust, signed, online chromatic dispersion detection in a 40-Gbit/s optical transmission link. <i>ELECTRICAL ENGINEERING</i>. 2003;85(1):41-44. doi:<a href=\"https://doi.org/10.1007/S00202-002-0138-2\">10.1007/S00202-002-0138-2</a>","ieee":"D. Sandel, V. Mirvocla, F. Wust, and R. Noé, “Robust, signed, online chromatic dispersion detection in a 40-Gbit/s optical transmission link,” <i>ELECTRICAL ENGINEERING</i>, vol. 85, no. 1, pp. 41–44, 2003, doi: <a href=\"https://doi.org/10.1007/S00202-002-0138-2\">10.1007/S00202-002-0138-2</a>.","chicago":"Sandel, D, V Mirvocla, F Wust, and Reinhold Noé. “Robust, Signed, Online Chromatic Dispersion Detection in a 40-Gbit/s Optical Transmission Link.” <i>ELECTRICAL ENGINEERING</i> 85, no. 1 (2003): 41–44. <a href=\"https://doi.org/10.1007/S00202-002-0138-2\">https://doi.org/10.1007/S00202-002-0138-2</a>.","apa":"Sandel, D., Mirvocla, V., Wust, F., &#38; Noé, R. (2003). Robust, signed, online chromatic dispersion detection in a 40-Gbit/s optical transmission link. <i>ELECTRICAL ENGINEERING</i>, <i>85</i>(1), 41–44. <a href=\"https://doi.org/10.1007/S00202-002-0138-2\">https://doi.org/10.1007/S00202-002-0138-2</a>","bibtex":"@article{Sandel_Mirvocla_Wust_Noé_2003, title={Robust, signed, online chromatic dispersion detection in a 40-Gbit/s optical transmission link}, volume={85}, DOI={<a href=\"https://doi.org/10.1007/S00202-002-0138-2\">10.1007/S00202-002-0138-2</a>}, number={1}, journal={ELECTRICAL ENGINEERING}, author={Sandel, D and Mirvocla, V and Wust, F and Noé, Reinhold}, year={2003}, pages={41–44} }","short":"D. Sandel, V. Mirvocla, F. Wust, R. Noé, ELECTRICAL ENGINEERING 85 (2003) 41–44.","mla":"Sandel, D., et al. “Robust, Signed, Online Chromatic Dispersion Detection in a 40-Gbit/s Optical Transmission Link.” <i>ELECTRICAL ENGINEERING</i>, vol. 85, no. 1, 2003, pp. 41–44, doi:<a href=\"https://doi.org/10.1007/S00202-002-0138-2\">10.1007/S00202-002-0138-2</a>."},"intvolume":"        85","page":"41-44","publication_identifier":{"issn":["0948-7921"]},"issue":"1","title":"Robust, signed, online chromatic dispersion detection in a 40-Gbit/s optical transmission link","doi":"10.1007/S00202-002-0138-2","date_updated":"2023-01-25T16:02:25Z","date_created":"2023-01-23T18:21:53Z","author":[{"last_name":"Sandel","full_name":"Sandel, D","first_name":"D"},{"full_name":"Mirvocla, V","last_name":"Mirvocla","first_name":"V"},{"last_name":"Wust","full_name":"Wust, F","first_name":"F"},{"first_name":"Reinhold","last_name":"Noé","orcid":"https://orcid.org/0000-0002-5839-7616","id":"381","full_name":"Noé, Reinhold"}],"volume":85,"status":"public","type":"journal_article","publication":"ELECTRICAL ENGINEERING","language":[{"iso":"eng"}],"_id":"38388","user_id":"14931","department":[{"_id":"56"}]},{"status":"public","type":"journal_article","publication":"IEE PROCEEDINGS-CIRCUITS DEVICES AND SYSTEMS","language":[{"iso":"eng"}],"user_id":"14931","department":[{"_id":"56"}],"_id":"38375","citation":{"ieee":"S. Bhandare, D. Sandel, R. Noé, R. Ricken, H. Suche, and W. Sohler, “LiNbO3-based integrated optical network analyser for vectorial structure characterisation of fibre Bragg gratings,” <i>IEE PROCEEDINGS-CIRCUITS DEVICES AND SYSTEMS</i>, vol. 150, no. 6, pp. 490–494, 2003, doi: <a href=\"https://doi.org/10.1049/ip-cds:20030762\">10.1049/ip-cds:20030762</a>.","chicago":"Bhandare, S, D Sandel, Reinhold Noé, R Ricken, H Suche, and W Sohler. “LiNbO3-Based Integrated Optical Network Analyser for Vectorial Structure Characterisation of Fibre Bragg Gratings.” <i>IEE PROCEEDINGS-CIRCUITS DEVICES AND SYSTEMS</i> 150, no. 6 (2003): 490–94. <a href=\"https://doi.org/10.1049/ip-cds:20030762\">https://doi.org/10.1049/ip-cds:20030762</a>.","ama":"Bhandare S, Sandel D, Noé R, Ricken R, Suche H, Sohler W. LiNbO3-based integrated optical network analyser for vectorial structure characterisation of fibre Bragg gratings. <i>IEE PROCEEDINGS-CIRCUITS DEVICES AND SYSTEMS</i>. 2003;150(6):490-494. doi:<a href=\"https://doi.org/10.1049/ip-cds:20030762\">10.1049/ip-cds:20030762</a>","bibtex":"@article{Bhandare_Sandel_Noé_Ricken_Suche_Sohler_2003, title={LiNbO3-based integrated optical network analyser for vectorial structure characterisation of fibre Bragg gratings}, volume={150}, DOI={<a href=\"https://doi.org/10.1049/ip-cds:20030762\">10.1049/ip-cds:20030762</a>}, number={6}, journal={IEE PROCEEDINGS-CIRCUITS DEVICES AND SYSTEMS}, author={Bhandare, S and Sandel, D and Noé, Reinhold and Ricken, R and Suche, H and Sohler, W}, year={2003}, pages={490–494} }","mla":"Bhandare, S., et al. “LiNbO3-Based Integrated Optical Network Analyser for Vectorial Structure Characterisation of Fibre Bragg Gratings.” <i>IEE PROCEEDINGS-CIRCUITS DEVICES AND SYSTEMS</i>, vol. 150, no. 6, 2003, pp. 490–94, doi:<a href=\"https://doi.org/10.1049/ip-cds:20030762\">10.1049/ip-cds:20030762</a>.","short":"S. Bhandare, D. Sandel, R. Noé, R. Ricken, H. Suche, W. Sohler, IEE PROCEEDINGS-CIRCUITS DEVICES AND SYSTEMS 150 (2003) 490–494.","apa":"Bhandare, S., Sandel, D., Noé, R., Ricken, R., Suche, H., &#38; Sohler, W. (2003). LiNbO3-based integrated optical network analyser for vectorial structure characterisation of fibre Bragg gratings. <i>IEE PROCEEDINGS-CIRCUITS DEVICES AND SYSTEMS</i>, <i>150</i>(6), 490–494. <a href=\"https://doi.org/10.1049/ip-cds:20030762\">https://doi.org/10.1049/ip-cds:20030762</a>"},"intvolume":"       150","page":"490-494","year":"2003","issue":"6","publication_identifier":{"issn":["1350-2409"]},"doi":"10.1049/ip-cds:20030762","title":"LiNbO3-based integrated optical network analyser for vectorial structure characterisation of fibre Bragg gratings","date_created":"2023-01-23T18:17:46Z","author":[{"full_name":"Bhandare, S","last_name":"Bhandare","first_name":"S"},{"first_name":"D","full_name":"Sandel, D","last_name":"Sandel"},{"first_name":"Reinhold","id":"381","full_name":"Noé, Reinhold","orcid":"https://orcid.org/0000-0002-5839-7616","last_name":"Noé"},{"full_name":"Ricken, R","last_name":"Ricken","first_name":"R"},{"full_name":"Suche, H","last_name":"Suche","first_name":"H"},{"full_name":"Sohler, W","last_name":"Sohler","first_name":"W"}],"volume":150,"date_updated":"2023-01-25T16:19:11Z"},{"status":"public","type":"journal_article","publication":"JOURNAL OF LIGHTWAVE TECHNOLOGY","language":[{"iso":"eng"}],"_id":"38358","user_id":"14931","department":[{"_id":"56"}],"year":"2003","citation":{"ama":"Sandel D, Mirvoda V, Bhandare S, Wust F, Noé R. Some enabling techniques for polarization mode dispersion compensation. <i>JOURNAL OF LIGHTWAVE TECHNOLOGY</i>. 2003;21(5):1198-1210. doi:<a href=\"https://doi.org/10.1109/JLT.2003.811563\">10.1109/JLT.2003.811563</a>","ieee":"D. Sandel, V. Mirvoda, S. Bhandare, F. Wust, and R. Noé, “Some enabling techniques for polarization mode dispersion compensation,” <i>JOURNAL OF LIGHTWAVE TECHNOLOGY</i>, vol. 21, no. 5, pp. 1198–1210, 2003, doi: <a href=\"https://doi.org/10.1109/JLT.2003.811563\">10.1109/JLT.2003.811563</a>.","chicago":"Sandel, D, V Mirvoda, S Bhandare, F Wust, and Reinhold Noé. “Some Enabling Techniques for Polarization Mode Dispersion Compensation.” <i>JOURNAL OF LIGHTWAVE TECHNOLOGY</i> 21, no. 5 (2003): 1198–1210. <a href=\"https://doi.org/10.1109/JLT.2003.811563\">https://doi.org/10.1109/JLT.2003.811563</a>.","apa":"Sandel, D., Mirvoda, V., Bhandare, S., Wust, F., &#38; Noé, R. (2003). Some enabling techniques for polarization mode dispersion compensation. <i>JOURNAL OF LIGHTWAVE TECHNOLOGY</i>, <i>21</i>(5), 1198–1210. <a href=\"https://doi.org/10.1109/JLT.2003.811563\">https://doi.org/10.1109/JLT.2003.811563</a>","mla":"Sandel, D., et al. “Some Enabling Techniques for Polarization Mode Dispersion Compensation.” <i>JOURNAL OF LIGHTWAVE TECHNOLOGY</i>, vol. 21, no. 5, 2003, pp. 1198–210, doi:<a href=\"https://doi.org/10.1109/JLT.2003.811563\">10.1109/JLT.2003.811563</a>.","bibtex":"@article{Sandel_Mirvoda_Bhandare_Wust_Noé_2003, title={Some enabling techniques for polarization mode dispersion compensation}, volume={21}, DOI={<a href=\"https://doi.org/10.1109/JLT.2003.811563\">10.1109/JLT.2003.811563</a>}, number={5}, journal={JOURNAL OF LIGHTWAVE TECHNOLOGY}, author={Sandel, D and Mirvoda, V and Bhandare, S and Wust, F and Noé, Reinhold}, year={2003}, pages={1198–1210} }","short":"D. Sandel, V. Mirvoda, S. Bhandare, F. Wust, R. Noé, JOURNAL OF LIGHTWAVE TECHNOLOGY 21 (2003) 1198–1210."},"intvolume":"        21","page":"1198-1210","publication_identifier":{"issn":["0733-8724"]},"issue":"5","title":"Some enabling techniques for polarization mode dispersion compensation","doi":"10.1109/JLT.2003.811563","date_updated":"2023-01-25T21:59:05Z","author":[{"full_name":"Sandel, D","last_name":"Sandel","first_name":"D"},{"last_name":"Mirvoda","full_name":"Mirvoda, V","first_name":"V"},{"last_name":"Bhandare","full_name":"Bhandare, S","first_name":"S"},{"first_name":"F","full_name":"Wust, F","last_name":"Wust"},{"first_name":"Reinhold","orcid":"https://orcid.org/0000-0002-5839-7616","last_name":"Noé","full_name":"Noé, Reinhold","id":"381"}],"date_created":"2023-01-23T18:15:55Z","volume":21},{"citation":{"apa":"Bhandare, S., Sandel, D., Noé, R., Ricken, R., Suche, H., &#38; Sohler, W. (2003). LiNbO3-based integrated optical network analyser for vectorial structure characterisation of fibre Bragg gratings. <i>IEE PROCEEDINGS-CIRCUITS DEVICES AND SYSTEMS</i>, <i>150</i>(6), 490–494. <a href=\"https://doi.org/10.1049/ip-cds:20030762\">https://doi.org/10.1049/ip-cds:20030762</a>","mla":"Bhandare, S., et al. “LiNbO3-Based Integrated Optical Network Analyser for Vectorial Structure Characterisation of Fibre Bragg Gratings.” <i>IEE PROCEEDINGS-CIRCUITS DEVICES AND SYSTEMS</i>, vol. 150, no. 6, 2003, pp. 490–94, doi:<a href=\"https://doi.org/10.1049/ip-cds:20030762\">10.1049/ip-cds:20030762</a>.","short":"S. Bhandare, D. Sandel, R. Noé, R. Ricken, H. Suche, W. Sohler, IEE PROCEEDINGS-CIRCUITS DEVICES AND SYSTEMS 150 (2003) 490–494.","bibtex":"@article{Bhandare_Sandel_Noé_Ricken_Suche_Sohler_2003, title={LiNbO3-based integrated optical network analyser for vectorial structure characterisation of fibre Bragg gratings}, volume={150}, DOI={<a href=\"https://doi.org/10.1049/ip-cds:20030762\">10.1049/ip-cds:20030762</a>}, number={6}, journal={IEE PROCEEDINGS-CIRCUITS DEVICES AND SYSTEMS}, author={Bhandare, S and Sandel, D and Noé, Reinhold and Ricken, R and Suche, H and Sohler, W}, year={2003}, pages={490–494} }","ama":"Bhandare S, Sandel D, Noé R, Ricken R, Suche H, Sohler W. LiNbO3-based integrated optical network analyser for vectorial structure characterisation of fibre Bragg gratings. <i>IEE PROCEEDINGS-CIRCUITS DEVICES AND SYSTEMS</i>. 2003;150(6):490-494. doi:<a href=\"https://doi.org/10.1049/ip-cds:20030762\">10.1049/ip-cds:20030762</a>","chicago":"Bhandare, S, D Sandel, Reinhold Noé, R Ricken, H Suche, and W Sohler. “LiNbO3-Based Integrated Optical Network Analyser for Vectorial Structure Characterisation of Fibre Bragg Gratings.” <i>IEE PROCEEDINGS-CIRCUITS DEVICES AND SYSTEMS</i> 150, no. 6 (2003): 490–94. <a href=\"https://doi.org/10.1049/ip-cds:20030762\">https://doi.org/10.1049/ip-cds:20030762</a>.","ieee":"S. Bhandare, D. Sandel, R. Noé, R. Ricken, H. Suche, and W. Sohler, “LiNbO3-based integrated optical network analyser for vectorial structure characterisation of fibre Bragg gratings,” <i>IEE PROCEEDINGS-CIRCUITS DEVICES AND SYSTEMS</i>, vol. 150, no. 6, pp. 490–494, 2003, doi: <a href=\"https://doi.org/10.1049/ip-cds:20030762\">10.1049/ip-cds:20030762</a>."},"page":"490-494","intvolume":"       150","year":"2003","issue":"6","publication_identifier":{"issn":["1350-2409"]},"doi":"10.1049/ip-cds:20030762","title":"LiNbO3-based integrated optical network analyser for vectorial structure characterisation of fibre Bragg gratings","date_created":"2023-01-23T18:11:17Z","author":[{"first_name":"S","full_name":"Bhandare, S","last_name":"Bhandare"},{"first_name":"D","last_name":"Sandel","full_name":"Sandel, D"},{"full_name":"Noé, Reinhold","id":"381","last_name":"Noé","orcid":"https://orcid.org/0000-0002-5839-7616","first_name":"Reinhold"},{"first_name":"R","last_name":"Ricken","full_name":"Ricken, R"},{"full_name":"Suche, H","last_name":"Suche","first_name":"H"},{"full_name":"Sohler, W","last_name":"Sohler","first_name":"W"}],"volume":150,"date_updated":"2023-01-25T22:27:17Z","status":"public","type":"journal_article","publication":"IEE PROCEEDINGS-CIRCUITS DEVICES AND SYSTEMS","language":[{"iso":"eng"}],"user_id":"14931","department":[{"_id":"56"}],"_id":"38325"},{"issue":"5","publication_identifier":{"issn":["0733-8724"]},"citation":{"bibtex":"@article{Sandel_Mirvoda_Bhandare_Wust_Noé_2003, title={Some enabling techniques for polarization mode dispersion compensation}, volume={21}, DOI={<a href=\"https://doi.org/10.1109/JLT.2003.811563\">10.1109/JLT.2003.811563</a>}, number={5}, journal={JOURNAL OF LIGHTWAVE TECHNOLOGY}, author={Sandel, D and Mirvoda, V and Bhandare, S and Wust, F and Noé, Reinhold}, year={2003}, pages={1198–1210} }","short":"D. Sandel, V. Mirvoda, S. Bhandare, F. Wust, R. Noé, JOURNAL OF LIGHTWAVE TECHNOLOGY 21 (2003) 1198–1210.","mla":"Sandel, D., et al. “Some Enabling Techniques for Polarization Mode Dispersion Compensation.” <i>JOURNAL OF LIGHTWAVE TECHNOLOGY</i>, vol. 21, no. 5, 2003, pp. 1198–210, doi:<a href=\"https://doi.org/10.1109/JLT.2003.811563\">10.1109/JLT.2003.811563</a>.","apa":"Sandel, D., Mirvoda, V., Bhandare, S., Wust, F., &#38; Noé, R. (2003). Some enabling techniques for polarization mode dispersion compensation. <i>JOURNAL OF LIGHTWAVE TECHNOLOGY</i>, <i>21</i>(5), 1198–1210. <a href=\"https://doi.org/10.1109/JLT.2003.811563\">https://doi.org/10.1109/JLT.2003.811563</a>","ieee":"D. Sandel, V. Mirvoda, S. Bhandare, F. Wust, and R. Noé, “Some enabling techniques for polarization mode dispersion compensation,” <i>JOURNAL OF LIGHTWAVE TECHNOLOGY</i>, vol. 21, no. 5, pp. 1198–1210, 2003, doi: <a href=\"https://doi.org/10.1109/JLT.2003.811563\">10.1109/JLT.2003.811563</a>.","chicago":"Sandel, D, V Mirvoda, S Bhandare, F Wust, and Reinhold Noé. “Some Enabling Techniques for Polarization Mode Dispersion Compensation.” <i>JOURNAL OF LIGHTWAVE TECHNOLOGY</i> 21, no. 5 (2003): 1198–1210. <a href=\"https://doi.org/10.1109/JLT.2003.811563\">https://doi.org/10.1109/JLT.2003.811563</a>.","ama":"Sandel D, Mirvoda V, Bhandare S, Wust F, Noé R. Some enabling techniques for polarization mode dispersion compensation. <i>JOURNAL OF LIGHTWAVE TECHNOLOGY</i>. 2003;21(5):1198-1210. doi:<a href=\"https://doi.org/10.1109/JLT.2003.811563\">10.1109/JLT.2003.811563</a>"},"intvolume":"        21","page":"1198-1210","year":"2003","date_created":"2023-01-23T18:11:14Z","author":[{"first_name":"D","full_name":"Sandel, D","last_name":"Sandel"},{"full_name":"Mirvoda, V","last_name":"Mirvoda","first_name":"V"},{"full_name":"Bhandare, S","last_name":"Bhandare","first_name":"S"},{"first_name":"F","full_name":"Wust, F","last_name":"Wust"},{"first_name":"Reinhold","last_name":"Noé","orcid":"https://orcid.org/0000-0002-5839-7616","id":"381","full_name":"Noé, Reinhold"}],"volume":21,"date_updated":"2023-01-25T22:46:53Z","doi":"10.1109/JLT.2003.811563","title":"Some enabling techniques for polarization mode dispersion compensation","type":"journal_article","publication":"JOURNAL OF LIGHTWAVE TECHNOLOGY","status":"public","user_id":"14931","department":[{"_id":"56"}],"_id":"38308","language":[{"iso":"eng"}]},{"date_created":"2023-01-25T10:09:14Z","author":[{"first_name":"Margit","last_name":"Rösler","id":"37390","full_name":"Rösler, Margit"}],"publisher":"Springer Berlin Heidelberg","date_updated":"2023-01-26T17:44:19Z","doi":"10.1007/3-540-44945-0_3","title":"Dunkl Operators: Theory and Applications","publication_identifier":{"issn":["0075-8434"],"isbn":["9783540403753","9783540449454"]},"publication_status":"published","page":"93–135","citation":{"apa":"Rösler, M. (2003). Dunkl Operators: Theory and Applications. In <i>Lecture Notes in Mathematics</i> (pp. 93–135). Springer Berlin Heidelberg. <a href=\"https://doi.org/10.1007/3-540-44945-0_3\">https://doi.org/10.1007/3-540-44945-0_3</a>","short":"M. Rösler, in: Lecture Notes in Mathematics, Springer Berlin Heidelberg, Berlin, Heidelberg, 2003, pp. 93–135.","bibtex":"@inbook{Rösler_2003, place={Berlin, Heidelberg}, title={Dunkl Operators: Theory and Applications}, DOI={<a href=\"https://doi.org/10.1007/3-540-44945-0_3\">10.1007/3-540-44945-0_3</a>}, booktitle={Lecture Notes in Mathematics}, publisher={Springer Berlin Heidelberg}, author={Rösler, Margit}, year={2003}, pages={93–135} }","mla":"Rösler, Margit. “Dunkl Operators: Theory and Applications.” <i>Lecture Notes in Mathematics</i>, Springer Berlin Heidelberg, 2003, pp. 93–135, doi:<a href=\"https://doi.org/10.1007/3-540-44945-0_3\">10.1007/3-540-44945-0_3</a>.","ama":"Rösler M. Dunkl Operators: Theory and Applications. In: <i>Lecture Notes in Mathematics</i>. Springer Berlin Heidelberg; 2003:93–135. doi:<a href=\"https://doi.org/10.1007/3-540-44945-0_3\">10.1007/3-540-44945-0_3</a>","ieee":"M. Rösler, “Dunkl Operators: Theory and Applications,” in <i>Lecture Notes in Mathematics</i>, Berlin, Heidelberg: Springer Berlin Heidelberg, 2003, pp. 93–135.","chicago":"Rösler, Margit. “Dunkl Operators: Theory and Applications.” In <i>Lecture Notes in Mathematics</i>, 93–135. Berlin, Heidelberg: Springer Berlin Heidelberg, 2003. <a href=\"https://doi.org/10.1007/3-540-44945-0_3\">https://doi.org/10.1007/3-540-44945-0_3</a>."},"year":"2003","place":"Berlin, Heidelberg","department":[{"_id":"555"}],"user_id":"93826","_id":"39956","language":[{"iso":"eng"}],"extern":"1","publication":"Lecture Notes in Mathematics","type":"book_chapter","status":"public"},{"status":"public","abstract":[{"lang":"eng","text":"Non-stationary complex random signals are in general improper (not circularly symmetric), which means that their complementary covariance is non-zero. Since the Karhunen-Loeve expansion in its known form is only valid for proper processes, we derive the improper version of this expansion. It produces two sets of eigenvalues and an improper internal description. We use the Karhunen-Loeve expansion to solve the problem of detecting non-stationary improper complex random signals in additive white Gaussian noise. Using the deflection criterion we compare the performance of conventional processing, which ignores complementary covariances, with processing that takes these into account. The performance gain can be as great as a factor of 2."}],"type":"conference","publication":"Proc.\\ IEEE Int.\\ Conf.\\ Acoustics, Speech and Signal Process.","user_id":"43497","department":[{"_id":"263"}],"_id":"40903","citation":{"apa":"Schreier, P. J., &#38; Scharf, L. L. (2003). The Karhunen-Loève expansion of improper complex random signals with applications in detection. <i>Proc.\\ IEEE Int.\\ Conf.\\ Acoustics, Speech and Signal Process.</i>, <i>6</i>, 717–720. <a href=\"https://doi.org/10.1109/ICASSP.2003.1201782\">https://doi.org/10.1109/ICASSP.2003.1201782</a>","short":"P.J. Schreier, L.L. Scharf, in: Proc.\\ IEEE Int.\\ Conf.\\ Acoustics, Speech and Signal Process., 2003, pp. 717–720.","mla":"Schreier, Peter J., and Louis L. Scharf. “The Karhunen-Loève Expansion of Improper Complex Random Signals with Applications in Detection.” <i>Proc.\\ IEEE Int.\\ Conf.\\ Acoustics, Speech and Signal Process.</i>, vol. 6, 2003, pp. 717–720, doi:<a href=\"https://doi.org/10.1109/ICASSP.2003.1201782\">10.1109/ICASSP.2003.1201782</a>.","bibtex":"@inproceedings{Schreier_Scharf_2003, title={The Karhunen-Loève expansion of improper complex random signals with applications in detection}, volume={6}, DOI={<a href=\"https://doi.org/10.1109/ICASSP.2003.1201782\">10.1109/ICASSP.2003.1201782</a>}, booktitle={Proc.\\ IEEE Int.\\ Conf.\\ Acoustics, Speech and Signal Process.}, author={Schreier, Peter J. and Scharf, Louis L.}, year={2003}, pages={717–720} }","chicago":"Schreier, Peter J., and Louis L. Scharf. “The Karhunen-Loève Expansion of Improper Complex Random Signals with Applications in Detection.” In <i>Proc.\\ IEEE Int.\\ Conf.\\ Acoustics, Speech and Signal Process.</i>, 6:717–720, 2003. <a href=\"https://doi.org/10.1109/ICASSP.2003.1201782\">https://doi.org/10.1109/ICASSP.2003.1201782</a>.","ieee":"P. J. Schreier and L. L. Scharf, “The Karhunen-Loève expansion of improper complex random signals with applications in detection,” in <i>Proc.\\ IEEE Int.\\ Conf.\\ Acoustics, Speech and Signal Process.</i>, 2003, vol. 6, pp. 717–720, doi: <a href=\"https://doi.org/10.1109/ICASSP.2003.1201782\">10.1109/ICASSP.2003.1201782</a>.","ama":"Schreier PJ, Scharf LL. The Karhunen-Loève expansion of improper complex random signals with applications in detection. In: <i>Proc.\\ IEEE Int.\\ Conf.\\ Acoustics, Speech and Signal Process.</i> Vol 6. ; 2003:717–720. doi:<a href=\"https://doi.org/10.1109/ICASSP.2003.1201782\">10.1109/ICASSP.2003.1201782</a>"},"page":"717–720","intvolume":"         6","year":"2003","doi":"10.1109/ICASSP.2003.1201782","title":"The Karhunen-Loève expansion of improper complex random signals with applications in detection","date_created":"2023-01-30T11:52:09Z","author":[{"first_name":"Peter J.","full_name":"Schreier, Peter J.","last_name":"Schreier"},{"last_name":"Scharf","full_name":"Scharf, Louis L.","first_name":"Louis L."}],"volume":6,"date_updated":"2023-01-30T11:52:42Z"},{"year":"2003","citation":{"ama":"McWhorter T, Schreier PJ. Widely-linear beamforming. In: <i>Proc. 37th\\ Asilomar Conf.\\ Signals Syst.\\ Computers</i>. Vol 1. ; 2003:753–759. doi:<a href=\"https://doi.org/10.1109/ACSSC.2003.1292015\">10.1109/ACSSC.2003.1292015</a>","chicago":"McWhorter, Todd, and Peter J. Schreier. “Widely-Linear Beamforming.” In <i>Proc. 37th\\ Asilomar Conf.\\ Signals Syst.\\ Computers</i>, 1:753–759, 2003. <a href=\"https://doi.org/10.1109/ACSSC.2003.1292015\">https://doi.org/10.1109/ACSSC.2003.1292015</a>.","ieee":"T. McWhorter and P. J. Schreier, “Widely-linear beamforming,” in <i>Proc. 37th\\ Asilomar Conf.\\ Signals Syst.\\ Computers</i>, 2003, vol. 1, pp. 753–759, doi: <a href=\"https://doi.org/10.1109/ACSSC.2003.1292015\">10.1109/ACSSC.2003.1292015</a>.","apa":"McWhorter, T., &#38; Schreier, P. J. (2003). Widely-linear beamforming. <i>Proc. 37th\\ Asilomar Conf.\\ Signals Syst.\\ Computers</i>, <i>1</i>, 753–759. <a href=\"https://doi.org/10.1109/ACSSC.2003.1292015\">https://doi.org/10.1109/ACSSC.2003.1292015</a>","mla":"McWhorter, Todd, and Peter J. Schreier. “Widely-Linear Beamforming.” <i>Proc. 37th\\ Asilomar Conf.\\ Signals Syst.\\ Computers</i>, vol. 1, 2003, pp. 753–759, doi:<a href=\"https://doi.org/10.1109/ACSSC.2003.1292015\">10.1109/ACSSC.2003.1292015</a>.","short":"T. McWhorter, P.J. Schreier, in: Proc. 37th\\ Asilomar Conf.\\ Signals Syst.\\ Computers, 2003, pp. 753–759.","bibtex":"@inproceedings{McWhorter_Schreier_2003, title={Widely-linear beamforming}, volume={1}, DOI={<a href=\"https://doi.org/10.1109/ACSSC.2003.1292015\">10.1109/ACSSC.2003.1292015</a>}, booktitle={Proc. 37th\\ Asilomar Conf.\\ Signals Syst.\\ Computers}, author={McWhorter, Todd and Schreier, Peter J.}, year={2003}, pages={753–759} }"},"page":"753–759","intvolume":"         1","date_updated":"2023-01-30T11:52:45Z","author":[{"first_name":"Todd","full_name":"McWhorter, Todd","last_name":"McWhorter"},{"last_name":"Schreier","full_name":"Schreier, Peter J.","first_name":"Peter J."}],"date_created":"2023-01-30T11:52:09Z","volume":1,"title":"Widely-linear beamforming","doi":"10.1109/ACSSC.2003.1292015","type":"conference","publication":"Proc. 37th\\ Asilomar Conf.\\ Signals Syst.\\ Computers","abstract":[{"lang":"eng","text":"In this paper we describe a beamforming algorithm based on widely-linear rather than linear data models. Initially, we develop this beamformer by generalizing the Capon (MVDR) optimization problem. That is, if the objective is to minimize output power while maintaining a specified directional gain, then we show that the output power of the widely-linear beamformer is less than or equal to the output power of the Capon (MVDR) beamformer. This result is valid regardless of the “true” distribution of the data. We also derive the widely-linear beamformer by considering beamforming to be an estimation problem. Linear models assume that the composite covariance matrix formed from the real and imaginary parts of the array-snapshot has a particular structure. This structure is often summarized by stating that the covariance formed from the array snapshot and its transpose (not Hermitian transpose) is zero. We could also call these data “proper” Gaussian vectors. The beamformers in this paper are appropriate for situations in which these implicit assumptions are violated."}],"status":"public","_id":"40900","user_id":"43497","department":[{"_id":"263"}]},{"user_id":"43497","department":[{"_id":"263"}],"_id":"40901","type":"conference","publication":"Proc.\\ IEEE Works.\\ Statistical Signal Proces.","status":"public","abstract":[{"lang":"eng","text":"Historically, transform coding of noisy sources has been performed by first estimating the message and then quantizing this estimate. We show that it is also optimum to first transform the noisy observations into canonical coordinates, quantize, apply a Wiener filter in this coordinate system, and then transform the result back to the original coordinates. Canonical coordinates are uncorrelated, and quantizing and Wiener filtering are applied to each component independently. Optimality of this approach can be proved assuming additive white quantization noise. Half canonical coordinates minimize the mean-squared error by minimizing the trace of the error covariance matrix and full canonical coordinates maximize information rate by minimizing the determinant of the error covariance matrix."}],"date_created":"2023-01-30T11:52:09Z","author":[{"last_name":"Schreier","full_name":"Schreier, Peter J.","first_name":"Peter J."},{"first_name":"Louis L.","full_name":"Scharf, Louis L.","last_name":"Scharf"},{"first_name":"Tianjian","last_name":"Hu","full_name":"Hu, Tianjian"},{"first_name":"Stephen D.","full_name":"Voran, Stephen D.","last_name":"Voran"}],"date_updated":"2023-01-30T11:52:49Z","doi":"10.1109/SSP.2003.1289387","title":"Canonical coordinates are the right coordinate system for transform coding of noisy sources","citation":{"chicago":"Schreier, Peter J., Louis L. Scharf, Tianjian Hu, and Stephen D. Voran. “Canonical Coordinates Are the Right Coordinate System for Transform Coding of Noisy Sources.” In <i>Proc.\\ IEEE Works.\\ Statistical Signal Proces.</i>, 234–237, 2003. <a href=\"https://doi.org/10.1109/SSP.2003.1289387\">https://doi.org/10.1109/SSP.2003.1289387</a>.","ieee":"P. J. Schreier, L. L. Scharf, T. Hu, and S. D. Voran, “Canonical coordinates are the right coordinate system for transform coding of noisy sources,” in <i>Proc.\\ IEEE Works.\\ Statistical Signal Proces.</i>, 2003, pp. 234–237, doi: <a href=\"https://doi.org/10.1109/SSP.2003.1289387\">10.1109/SSP.2003.1289387</a>.","ama":"Schreier PJ, Scharf LL, Hu T, Voran SD. Canonical coordinates are the right coordinate system for transform coding of noisy sources. In: <i>Proc.\\ IEEE Works.\\ Statistical Signal Proces.</i> ; 2003:234–237. doi:<a href=\"https://doi.org/10.1109/SSP.2003.1289387\">10.1109/SSP.2003.1289387</a>","apa":"Schreier, P. J., Scharf, L. L., Hu, T., &#38; Voran, S. D. (2003). Canonical coordinates are the right coordinate system for transform coding of noisy sources. <i>Proc.\\ IEEE Works.\\ Statistical Signal Proces.</i>, 234–237. <a href=\"https://doi.org/10.1109/SSP.2003.1289387\">https://doi.org/10.1109/SSP.2003.1289387</a>","short":"P.J. Schreier, L.L. Scharf, T. Hu, S.D. Voran, in: Proc.\\ IEEE Works.\\ Statistical Signal Proces., 2003, pp. 234–237.","bibtex":"@inproceedings{Schreier_Scharf_Hu_Voran_2003, title={Canonical coordinates are the right coordinate system for transform coding of noisy sources}, DOI={<a href=\"https://doi.org/10.1109/SSP.2003.1289387\">10.1109/SSP.2003.1289387</a>}, booktitle={Proc.\\ IEEE Works.\\ Statistical Signal Proces.}, author={Schreier, Peter J. and Scharf, Louis L. and Hu, Tianjian and Voran, Stephen D.}, year={2003}, pages={234–237} }","mla":"Schreier, Peter J., et al. “Canonical Coordinates Are the Right Coordinate System for Transform Coding of Noisy Sources.” <i>Proc.\\ IEEE Works.\\ Statistical Signal Proces.</i>, 2003, pp. 234–237, doi:<a href=\"https://doi.org/10.1109/SSP.2003.1289387\">10.1109/SSP.2003.1289387</a>."},"page":"234–237","year":"2003"},{"department":[{"_id":"263"}],"user_id":"43497","_id":"40902","publication":"Proc.\\ IEEE Works.\\ Statistical Signal Proces.","type":"conference","status":"public","abstract":[{"text":"Recently, a number of papers have been published that show significant performance gains can be obtained by accounting for the fact that communication signals can be improper. In this paper, we derive a general result comparing the performance of conventional processing, which ignores the improper nature of signals, with processing that takes it into account. In particular, for an estimation and a detection problem, we find that the performance gain, as measured by mean-squared error and deflection, respectively, can be as large as a factor of 2, but no larger. In a communications example, we show how this finding generalizes the result that coherent processing enjoys a 3 dB gain over non-coherent processing.","lang":"eng"}],"author":[{"first_name":"Peter J.","last_name":"Schreier","full_name":"Schreier, Peter J."},{"full_name":"Scharf, Louis L.","last_name":"Scharf","first_name":"Louis L."},{"first_name":"Clifford T.","last_name":"Mullis","full_name":"Mullis, Clifford T."}],"date_created":"2023-01-30T11:52:09Z","date_updated":"2023-01-30T11:52:52Z","doi":"10.1109/SSP.2003.1289353","title":"A unified approach to performance comparisons between linear and widely linear processing","page":"114–117","citation":{"apa":"Schreier, P. J., Scharf, L. L., &#38; Mullis, C. T. (2003). A unified approach to performance comparisons between linear and widely linear processing. <i>Proc.\\ IEEE Works.\\ Statistical Signal Proces.</i>, 114–117. <a href=\"https://doi.org/10.1109/SSP.2003.1289353\">https://doi.org/10.1109/SSP.2003.1289353</a>","short":"P.J. Schreier, L.L. Scharf, C.T. Mullis, in: Proc.\\ IEEE Works.\\ Statistical Signal Proces., 2003, pp. 114–117.","bibtex":"@inproceedings{Schreier_Scharf_Mullis_2003, title={A unified approach to performance comparisons between linear and widely linear processing}, DOI={<a href=\"https://doi.org/10.1109/SSP.2003.1289353\">10.1109/SSP.2003.1289353</a>}, booktitle={Proc.\\ IEEE Works.\\ Statistical Signal Proces.}, author={Schreier, Peter J. and Scharf, Louis L. and Mullis, Clifford T.}, year={2003}, pages={114–117} }","mla":"Schreier, Peter J., et al. “A Unified Approach to Performance Comparisons between Linear and Widely Linear Processing.” <i>Proc.\\ IEEE Works.\\ Statistical Signal Proces.</i>, 2003, pp. 114–117, doi:<a href=\"https://doi.org/10.1109/SSP.2003.1289353\">10.1109/SSP.2003.1289353</a>.","chicago":"Schreier, Peter J., Louis L. Scharf, and Clifford T. Mullis. “A Unified Approach to Performance Comparisons between Linear and Widely Linear Processing.” In <i>Proc.\\ IEEE Works.\\ Statistical Signal Proces.</i>, 114–117, 2003. <a href=\"https://doi.org/10.1109/SSP.2003.1289353\">https://doi.org/10.1109/SSP.2003.1289353</a>.","ieee":"P. J. Schreier, L. L. Scharf, and C. T. Mullis, “A unified approach to performance comparisons between linear and widely linear processing,” in <i>Proc.\\ IEEE Works.\\ Statistical Signal Proces.</i>, 2003, pp. 114–117, doi: <a href=\"https://doi.org/10.1109/SSP.2003.1289353\">10.1109/SSP.2003.1289353</a>.","ama":"Schreier PJ, Scharf LL, Mullis CT. A unified approach to performance comparisons between linear and widely linear processing. In: <i>Proc.\\ IEEE Works.\\ Statistical Signal Proces.</i> ; 2003:114–117. doi:<a href=\"https://doi.org/10.1109/SSP.2003.1289353\">10.1109/SSP.2003.1289353</a>"},"year":"2003"},{"user_id":"43497","department":[{"_id":"263"}],"_id":"40899","status":"public","abstract":[{"text":"We challenge the perception that we live in a “proper world”, where complex random signals can always be assumed to be proper (also called circularly symmetric). Rather, we stress the fact that the analytic signal constructed from a nonstationary real signal is, in general, improper, which means that its complementary correlation function is nonzero. We explore the consequences of this finding in the context of stochastic time-frequency analysis in Cohen’s class. There, the analytic signal plays a prominent role because it reduces interference terms. However, the usual time-frequency representation (TFR) based on the analytic signal gives only an incomplete signal description. It must be augmented by a complementary TFR whose properties we develop in detail. We show why it is still advantageous to use the pair of standard and complementary TFRs of the analytic signal rather than the TFR of the corresponding real signal.","lang":"eng"}],"type":"journal_article","publication":"{IEEE} {T}rans.\\ {S}ignal\\ {P}rocess.","doi":"10.1109/TSP.2003.818911","title":"Stochastic time-frequency analysis using the analytic signal: why the complementary distribution matters","date_created":"2023-01-30T11:52:08Z","author":[{"last_name":"Schreier","full_name":"Schreier, Peter J.","first_name":"Peter J."},{"full_name":"Scharf, Louis L.","last_name":"Scharf","first_name":"Louis L."}],"volume":51,"date_updated":"2023-01-30T11:54:03Z","citation":{"ieee":"P. J. Schreier and L. L. Scharf, “Stochastic time-frequency analysis using the analytic signal: why the complementary distribution matters,” <i>{IEEE} {T}rans.\\ {S}ignal\\ {P}rocess.</i>, vol. 51, no. 12, pp. 3071–3079, 2003, doi: <a href=\"https://doi.org/10.1109/TSP.2003.818911\">10.1109/TSP.2003.818911</a>.","chicago":"Schreier, Peter J., and Louis L. Scharf. “Stochastic Time-Frequency Analysis Using the Analytic Signal: Why the Complementary Distribution Matters.” <i>{IEEE} {T}rans.\\ {S}ignal\\ {P}rocess.</i> 51, no. 12 (2003): 3071–3079. <a href=\"https://doi.org/10.1109/TSP.2003.818911\">https://doi.org/10.1109/TSP.2003.818911</a>.","ama":"Schreier PJ, Scharf LL. Stochastic time-frequency analysis using the analytic signal: why the complementary distribution matters. <i>{IEEE} {T}rans\\ {S}ignal\\ {P}rocess</i>. 2003;51(12):3071–3079. doi:<a href=\"https://doi.org/10.1109/TSP.2003.818911\">10.1109/TSP.2003.818911</a>","short":"P.J. Schreier, L.L. Scharf, {IEEE} {T}rans.\\ {S}ignal\\ {P}rocess. 51 (2003) 3071–3079.","bibtex":"@article{Schreier_Scharf_2003, title={Stochastic time-frequency analysis using the analytic signal: why the complementary distribution matters}, volume={51}, DOI={<a href=\"https://doi.org/10.1109/TSP.2003.818911\">10.1109/TSP.2003.818911</a>}, number={12}, journal={{IEEE} {T}rans.\\ {S}ignal\\ {P}rocess.}, author={Schreier, Peter J. and Scharf, Louis L.}, year={2003}, pages={3071–3079} }","mla":"Schreier, Peter J., and Louis L. Scharf. “Stochastic Time-Frequency Analysis Using the Analytic Signal: Why the Complementary Distribution Matters.” <i>{IEEE} {T}rans.\\ {S}ignal\\ {P}rocess.</i>, vol. 51, no. 12, 2003, pp. 3071–3079, doi:<a href=\"https://doi.org/10.1109/TSP.2003.818911\">10.1109/TSP.2003.818911</a>.","apa":"Schreier, P. J., &#38; Scharf, L. L. (2003). Stochastic time-frequency analysis using the analytic signal: why the complementary distribution matters. <i>{IEEE} {T}rans.\\ {S}ignal\\ {P}rocess.</i>, <i>51</i>(12), 3071–3079. <a href=\"https://doi.org/10.1109/TSP.2003.818911\">https://doi.org/10.1109/TSP.2003.818911</a>"},"intvolume":"        51","page":"3071–3079","year":"2003","issue":"12"},{"type":"journal_article","status":"public","_id":"39957","department":[{"_id":"555"}],"user_id":"93826","extern":"1","publication_status":"published","page":"2413–2438","intvolume":"       355","citation":{"ama":"Rösler M. A positive radial product formula for the Dunkl kernel. <i>Transactions of the American Mathematical Society</i>. 2003;355(6):2413–2438. doi:<a href=\"https://doi.org/10.48550/ARXIV.MATH/0210137\">10.48550/ARXIV.MATH/0210137</a>","ieee":"M. Rösler, “A positive radial product formula for the Dunkl kernel,” <i>Transactions of the American Mathematical Society</i>, vol. 355, no. 6, pp. 2413–2438, 2003, doi: <a href=\"https://doi.org/10.48550/ARXIV.MATH/0210137\">10.48550/ARXIV.MATH/0210137</a>.","chicago":"Rösler, Margit. “A Positive Radial Product Formula for the Dunkl Kernel.” <i>Transactions of the American Mathematical Society</i> 355, no. 6 (2003): 2413–2438. <a href=\"https://doi.org/10.48550/ARXIV.MATH/0210137\">https://doi.org/10.48550/ARXIV.MATH/0210137</a>.","bibtex":"@article{Rösler_2003, title={A positive radial product formula for the Dunkl kernel}, volume={355}, DOI={<a href=\"https://doi.org/10.48550/ARXIV.MATH/0210137\">10.48550/ARXIV.MATH/0210137</a>}, number={6}, journal={Transactions of the American Mathematical Society}, publisher={American Mathematical Society (AMS)}, author={Rösler, Margit}, year={2003}, pages={2413–2438} }","short":"M. Rösler, Transactions of the American Mathematical Society 355 (2003) 2413–2438.","mla":"Rösler, Margit. “A Positive Radial Product Formula for the Dunkl Kernel.” <i>Transactions of the American Mathematical Society</i>, vol. 355, no. 6, American Mathematical Society (AMS), 2003, pp. 2413–2438, doi:<a href=\"https://doi.org/10.48550/ARXIV.MATH/0210137\">10.48550/ARXIV.MATH/0210137</a>.","apa":"Rösler, M. (2003). A positive radial product formula for the Dunkl kernel. <i>Transactions of the American Mathematical Society</i>, <i>355</i>(6), 2413–2438. <a href=\"https://doi.org/10.48550/ARXIV.MATH/0210137\">https://doi.org/10.48550/ARXIV.MATH/0210137</a>"},"date_updated":"2023-01-26T17:44:10Z","volume":355,"author":[{"first_name":"Margit","last_name":"Rösler","id":"37390","full_name":"Rösler, Margit"}],"doi":"10.48550/ARXIV.MATH/0210137","publication":"Transactions of the American Mathematical Society","abstract":[{"text":"It is an open conjecture that generalized Bessel functions associated with root systems have a positive product formula for non-negative multiplicity parameters of the associated Dunkl operators. In this paper, a partial result towards this conjecture is proven, namely a positive radial product formula for the non-symmetric counterpart of the generalized Bessel function, the Dunkl kernel. Radial hereby means that one of the factors in the product formula is replaced by its mean over a sphere. The key to this product formula is a positivity result for the Dunkl-type spherical mean operator. It can also be interpreted in the sense that the Dunkl-type generalized translation of radial functions is positivity-preserving. As an application, we construct Dunkl-type homogeneous Markov processes associated with radial probability distributions.","lang":"eng"}],"language":[{"iso":"eng"}],"issue":"6","year":"2003","publisher":"American Mathematical Society (AMS)","date_created":"2023-01-25T10:17:51Z","title":"A positive radial product formula for the Dunkl kernel"},{"doi":"10.1109/TSP.2002.808085","title":"Second-order analysis of improper complex random vectors and processes","author":[{"full_name":"Schreier, Peter J.","last_name":"Schreier","first_name":"Peter J."},{"full_name":"Scharf, Louis L.","last_name":"Scharf","first_name":"Louis L."}],"date_created":"2023-01-30T11:52:09Z","volume":51,"date_updated":"2023-01-30T11:52:55Z","citation":{"chicago":"Schreier, Peter J., and Louis L. Scharf. “Second-Order Analysis of Improper Complex Random Vectors and Processes.” <i>{IEEE} {T}rans.\\ {S}ignal\\ {P}rocess.</i> 51, no. 3 (2003): 714–725. <a href=\"https://doi.org/10.1109/TSP.2002.808085\">https://doi.org/10.1109/TSP.2002.808085</a>.","ieee":"P. J. Schreier and L. L. Scharf, “Second-order analysis of improper complex random vectors and processes,” <i>{IEEE} {T}rans.\\ {S}ignal\\ {P}rocess.</i>, vol. 51, no. 3, pp. 714–725, 2003, doi: <a href=\"https://doi.org/10.1109/TSP.2002.808085\">10.1109/TSP.2002.808085</a>.","ama":"Schreier PJ, Scharf LL. Second-order analysis of improper complex random vectors and processes. <i>{IEEE} {T}rans\\ {S}ignal\\ {P}rocess</i>. 2003;51(3):714–725. doi:<a href=\"https://doi.org/10.1109/TSP.2002.808085\">10.1109/TSP.2002.808085</a>","mla":"Schreier, Peter J., and Louis L. Scharf. “Second-Order Analysis of Improper Complex Random Vectors and Processes.” <i>{IEEE} {T}rans.\\ {S}ignal\\ {P}rocess.</i>, vol. 51, no. 3, 2003, pp. 714–725, doi:<a href=\"https://doi.org/10.1109/TSP.2002.808085\">10.1109/TSP.2002.808085</a>.","bibtex":"@article{Schreier_Scharf_2003, title={Second-order analysis of improper complex random vectors and processes}, volume={51}, DOI={<a href=\"https://doi.org/10.1109/TSP.2002.808085\">10.1109/TSP.2002.808085</a>}, number={3}, journal={{IEEE} {T}rans.\\ {S}ignal\\ {P}rocess.}, author={Schreier, Peter J. and Scharf, Louis L.}, year={2003}, pages={714–725} }","short":"P.J. Schreier, L.L. Scharf, {IEEE} {T}rans.\\ {S}ignal\\ {P}rocess. 51 (2003) 714–725.","apa":"Schreier, P. J., &#38; Scharf, L. L. (2003). Second-order analysis of improper complex random vectors and processes. <i>{IEEE} {T}rans.\\ {S}ignal\\ {P}rocess.</i>, <i>51</i>(3), 714–725. <a href=\"https://doi.org/10.1109/TSP.2002.808085\">https://doi.org/10.1109/TSP.2002.808085</a>"},"intvolume":"        51","page":"714–725","year":"2003","issue":"3","user_id":"43497","department":[{"_id":"263"}],"_id":"40904","status":"public","abstract":[{"lang":"eng","text":"We present a comprehensive treatment of the second-order theory of complex random vectors and wide-sense stationary (WSS) signals. The main focus is on the improper case, in which the complementary covariance does not vanish. Accounting for the information present in the complementary covariance requires the use of widely linear transformations. Based on these, we present the eigenanalysis of complex vectors and apply it to the problem of rank reduction through principal components. We also investigate joint properties of two complex vectors by introducing canonical correlations, which paves the way for a discussion of the Wiener filter and its rank-reduced version. We link the concepts of propriety and joint propriety to eigenanalysis and canonical correlation analysis, respectively. Our treatment is extended to WSS signals. In particular, we give a result on the asymptotic distribution of eigenvalues and examine the connection between WSS, proper, and analytic signals."}],"type":"journal_article","publication":"{IEEE} {T}rans.\\ {S}ignal\\ {P}rocess."},{"publication":"Journal of Number Theory","abstract":[{"lang":"eng","text":"We apply class field theory to the computation of the minimal discriminants for certain solvable groups. In particular, we apply our techniques to small Frobenius groups and all imprimitive degree 8 groups such that the corresponding fields have only a degree 2 and no degree 4 subfield."}],"keyword":["Algebra and Number Theory"],"language":[{"iso":"eng"}],"issue":"2","year":"2003","publisher":"Elsevier BV","date_created":"2022-12-23T09:53:23Z","title":"Minimal discriminants for fields with small Frobenius groups as Galois groups","type":"journal_article","status":"public","_id":"34896","user_id":"93826","department":[{"_id":"102"}],"publication_status":"published","publication_identifier":{"issn":["0022-314X"]},"citation":{"mla":"Fieker, Claus, and Jürgen Klüners. “Minimal Discriminants for Fields with Small Frobenius Groups as Galois Groups.” <i>Journal of Number Theory</i>, vol. 99, no. 2, Elsevier BV, 2003, pp. 318–37, doi:<a href=\"https://doi.org/10.1016/s0022-314x(02)00071-9\">10.1016/s0022-314x(02)00071-9</a>.","bibtex":"@article{Fieker_Klüners_2003, title={Minimal discriminants for fields with small Frobenius groups as Galois groups}, volume={99}, DOI={<a href=\"https://doi.org/10.1016/s0022-314x(02)00071-9\">10.1016/s0022-314x(02)00071-9</a>}, number={2}, journal={Journal of Number Theory}, publisher={Elsevier BV}, author={Fieker, Claus and Klüners, Jürgen}, year={2003}, pages={318–337} }","short":"C. Fieker, J. Klüners, Journal of Number Theory 99 (2003) 318–337.","apa":"Fieker, C., &#38; Klüners, J. (2003). Minimal discriminants for fields with small Frobenius groups as Galois groups. <i>Journal of Number Theory</i>, <i>99</i>(2), 318–337. <a href=\"https://doi.org/10.1016/s0022-314x(02)00071-9\">https://doi.org/10.1016/s0022-314x(02)00071-9</a>","ama":"Fieker C, Klüners J. Minimal discriminants for fields with small Frobenius groups as Galois groups. <i>Journal of Number Theory</i>. 2003;99(2):318-337. doi:<a href=\"https://doi.org/10.1016/s0022-314x(02)00071-9\">10.1016/s0022-314x(02)00071-9</a>","ieee":"C. Fieker and J. Klüners, “Minimal discriminants for fields with small Frobenius groups as Galois groups,” <i>Journal of Number Theory</i>, vol. 99, no. 2, pp. 318–337, 2003, doi: <a href=\"https://doi.org/10.1016/s0022-314x(02)00071-9\">10.1016/s0022-314x(02)00071-9</a>.","chicago":"Fieker, Claus, and Jürgen Klüners. “Minimal Discriminants for Fields with Small Frobenius Groups as Galois Groups.” <i>Journal of Number Theory</i> 99, no. 2 (2003): 318–37. <a href=\"https://doi.org/10.1016/s0022-314x(02)00071-9\">https://doi.org/10.1016/s0022-314x(02)00071-9</a>."},"intvolume":"        99","page":"318-337","date_updated":"2023-03-06T09:19:16Z","author":[{"first_name":"Claus","full_name":"Fieker, Claus","last_name":"Fieker"},{"first_name":"Jürgen","last_name":"Klüners","id":"21202","full_name":"Klüners, Jürgen"}],"volume":99,"doi":"10.1016/s0022-314x(02)00071-9"},{"status":"public","type":"conference","publication":"IECON'99. Conference Proceedings. 25th Annual Conference of the IEEE Industrial Electronics Society (Cat. No.99CH37029)","language":[{"iso":"eng"}],"_id":"39887","user_id":"20179","department":[{"_id":"59"}],"year":"2003","citation":{"ama":"Hilleringmann U, Vieregge T, Horstmann JT. Masking and etching of silicon and related materials for geometries down to 25 nm. In: <i>IECON’99. Conference Proceedings. 25th Annual Conference of the IEEE Industrial Electronics Society (Cat. No.99CH37029)</i>. IEEE; 2003. doi:<a href=\"https://doi.org/10.1109/iecon.1999.822171\">10.1109/iecon.1999.822171</a>","ieee":"U. Hilleringmann, T. Vieregge, and J. T. Horstmann, “Masking and etching of silicon and related materials for geometries down to 25 nm,” 2003, doi: <a href=\"https://doi.org/10.1109/iecon.1999.822171\">10.1109/iecon.1999.822171</a>.","chicago":"Hilleringmann, Ulrich, T. Vieregge, and J.T. Horstmann. “Masking and Etching of Silicon and Related Materials for Geometries down to 25 Nm.” In <i>IECON’99. Conference Proceedings. 25th Annual Conference of the IEEE Industrial Electronics Society (Cat. No.99CH37029)</i>. IEEE, 2003. <a href=\"https://doi.org/10.1109/iecon.1999.822171\">https://doi.org/10.1109/iecon.1999.822171</a>.","bibtex":"@inproceedings{Hilleringmann_Vieregge_Horstmann_2003, title={Masking and etching of silicon and related materials for geometries down to 25 nm}, DOI={<a href=\"https://doi.org/10.1109/iecon.1999.822171\">10.1109/iecon.1999.822171</a>}, booktitle={IECON’99. Conference Proceedings. 25th Annual Conference of the IEEE Industrial Electronics Society (Cat. No.99CH37029)}, publisher={IEEE}, author={Hilleringmann, Ulrich and Vieregge, T. and Horstmann, J.T.}, year={2003} }","mla":"Hilleringmann, Ulrich, et al. “Masking and Etching of Silicon and Related Materials for Geometries down to 25 Nm.” <i>IECON’99. Conference Proceedings. 25th Annual Conference of the IEEE Industrial Electronics Society (Cat. No.99CH37029)</i>, IEEE, 2003, doi:<a href=\"https://doi.org/10.1109/iecon.1999.822171\">10.1109/iecon.1999.822171</a>.","short":"U. Hilleringmann, T. Vieregge, J.T. Horstmann, in: IECON’99. Conference Proceedings. 25th Annual Conference of the IEEE Industrial Electronics Society (Cat. No.99CH37029), IEEE, 2003.","apa":"Hilleringmann, U., Vieregge, T., &#38; Horstmann, J. T. (2003). Masking and etching of silicon and related materials for geometries down to 25 nm. <i>IECON’99. Conference Proceedings. 25th Annual Conference of the IEEE Industrial Electronics Society (Cat. No.99CH37029)</i>. <a href=\"https://doi.org/10.1109/iecon.1999.822171\">https://doi.org/10.1109/iecon.1999.822171</a>"},"publication_status":"published","title":"Masking and etching of silicon and related materials for geometries down to 25 nm","doi":"10.1109/iecon.1999.822171","publisher":"IEEE","date_updated":"2023-03-21T09:59:07Z","author":[{"first_name":"Ulrich","full_name":"Hilleringmann, Ulrich","id":"20179","last_name":"Hilleringmann"},{"first_name":"T.","last_name":"Vieregge","full_name":"Vieregge, T."},{"full_name":"Horstmann, J.T.","last_name":"Horstmann","first_name":"J.T."}],"date_created":"2023-01-25T09:12:16Z"},{"language":[{"iso":"eng"}],"department":[{"_id":"59"}],"user_id":"20179","_id":"39888","status":"public","publication":"IECON'99. Conference Proceedings. 25th Annual Conference of the IEEE Industrial Electronics Society (Cat. No.99CH37029)","type":"conference","doi":"10.1109/iecon.1999.822163","title":"Matching analysis of NMOS-transistors with a channel length down to 30 nm","author":[{"first_name":"J.T.","full_name":"Horstmann, J.T.","last_name":"Horstmann"},{"first_name":"Ulrich","last_name":"Hilleringmann","id":"20179","full_name":"Hilleringmann, Ulrich"},{"full_name":"Goser, K.","last_name":"Goser","first_name":"K."}],"date_created":"2023-01-25T09:12:46Z","publisher":"IEEE","date_updated":"2023-03-21T09:58:50Z","citation":{"apa":"Horstmann, J. T., Hilleringmann, U., &#38; Goser, K. (2003). Matching analysis of NMOS-transistors with a channel length down to 30 nm. <i>IECON’99. Conference Proceedings. 25th Annual Conference of the IEEE Industrial Electronics Society (Cat. No.99CH37029)</i>. <a href=\"https://doi.org/10.1109/iecon.1999.822163\">https://doi.org/10.1109/iecon.1999.822163</a>","bibtex":"@inproceedings{Horstmann_Hilleringmann_Goser_2003, title={Matching analysis of NMOS-transistors with a channel length down to 30 nm}, DOI={<a href=\"https://doi.org/10.1109/iecon.1999.822163\">10.1109/iecon.1999.822163</a>}, booktitle={IECON’99. Conference Proceedings. 25th Annual Conference of the IEEE Industrial Electronics Society (Cat. No.99CH37029)}, publisher={IEEE}, author={Horstmann, J.T. and Hilleringmann, Ulrich and Goser, K.}, year={2003} }","mla":"Horstmann, J. T., et al. “Matching Analysis of NMOS-Transistors with a Channel Length down to 30 Nm.” <i>IECON’99. Conference Proceedings. 25th Annual Conference of the IEEE Industrial Electronics Society (Cat. No.99CH37029)</i>, IEEE, 2003, doi:<a href=\"https://doi.org/10.1109/iecon.1999.822163\">10.1109/iecon.1999.822163</a>.","short":"J.T. Horstmann, U. Hilleringmann, K. Goser, in: IECON’99. Conference Proceedings. 25th Annual Conference of the IEEE Industrial Electronics Society (Cat. No.99CH37029), IEEE, 2003.","chicago":"Horstmann, J.T., Ulrich Hilleringmann, and K. Goser. “Matching Analysis of NMOS-Transistors with a Channel Length down to 30 Nm.” In <i>IECON’99. Conference Proceedings. 25th Annual Conference of the IEEE Industrial Electronics Society (Cat. No.99CH37029)</i>. IEEE, 2003. <a href=\"https://doi.org/10.1109/iecon.1999.822163\">https://doi.org/10.1109/iecon.1999.822163</a>.","ieee":"J. T. Horstmann, U. Hilleringmann, and K. Goser, “Matching analysis of NMOS-transistors with a channel length down to 30 nm,” 2003, doi: <a href=\"https://doi.org/10.1109/iecon.1999.822163\">10.1109/iecon.1999.822163</a>.","ama":"Horstmann JT, Hilleringmann U, Goser K. Matching analysis of NMOS-transistors with a channel length down to 30 nm. In: <i>IECON’99. Conference Proceedings. 25th Annual Conference of the IEEE Industrial Electronics Society (Cat. No.99CH37029)</i>. IEEE; 2003. doi:<a href=\"https://doi.org/10.1109/iecon.1999.822163\">10.1109/iecon.1999.822163</a>"},"year":"2003","publication_status":"published"}]