[{"language":[{"iso":"eng"}],"keyword":["Finite plasticity","Ductile damage","Gradient-enhancement","Stress-state dependency","Failure"],"publication":"Journal of the Mechanics and Physics of Solids","abstract":[{"text":"A coupled finite plasticity ductile damage and failure model is proposed for the finite element simulation of clinch joining, which incorporates stress-state dependency and regularisation by gradient-enhancement of the damage variable. Ductile damage is determined based on a failure indicator governed by a failure surface in stress space. The latter is exemplary chosen as a combination of the Hosford–Coulomb and Cockcroft–Latham–Oh failure criteria for the high and low stress triaxiality range, respectively, to cover the wide stress range encountered in forming. Damage is coupled to elasto-plasticity to capture the damage-induced degradation of the stiffness and flow stress. This affects the material behaviour up to failure, thereby realistically altering the stress state. Consequently, especially for highly ductile materials, where substantial necking and localisation precede material fracture, the failure prediction is enhanced. The resulting stress softening is regularised by gradient-enhancement to obtain mesh-objective results. The analysis of a modified punch test experiment emphasises how the damage-induced softening effect can strongly alter the actual stress state towards failure. Moreover, the impact of successful regularisation is shown, and the applicability of the damage and failure model to clinch joining is proven.","lang":"eng"}],"date_created":"2025-01-31T17:04:12Z","publisher":"Elsevier BV","title":"Modelling of stress-state-dependent ductile damage with gradient-enhancement exemplified for clinch joining","year":"2025","user_id":"84990","project":[{"grant_number":"418701707","_id":"130","name":"TRR 285: TRR 285:  Methodenentwicklung zur mechanischen Fügbarkeit in wandlungsfähigen Prozessketten"},{"name":"TRR 285 - A: TRR 285 - Project Area A","_id":"131"},{"_id":"139","name":"TRR 285 – A05: TRR 285 - Subproject A05"}],"_id":"58492","article_number":"106026","article_type":"original","type":"journal_article","status":"public","author":[{"first_name":"Johannes","full_name":"Friedlein, Johannes","last_name":"Friedlein"},{"first_name":"Julia","full_name":"Mergheim, Julia","last_name":"Mergheim"},{"first_name":"Paul","last_name":"Steinmann","full_name":"Steinmann, Paul"}],"volume":196,"date_updated":"2025-01-31T17:06:22Z","doi":"10.1016/j.jmps.2025.106026","publication_status":"published","publication_identifier":{"issn":["0022-5096"]},"citation":{"bibtex":"@article{Friedlein_Mergheim_Steinmann_2025, title={Modelling of stress-state-dependent ductile damage with gradient-enhancement exemplified for clinch joining}, volume={196}, DOI={<a href=\"https://doi.org/10.1016/j.jmps.2025.106026\">10.1016/j.jmps.2025.106026</a>}, number={106026}, journal={Journal of the Mechanics and Physics of Solids}, publisher={Elsevier BV}, author={Friedlein, Johannes and Mergheim, Julia and Steinmann, Paul}, year={2025} }","short":"J. Friedlein, J. Mergheim, P. Steinmann, Journal of the Mechanics and Physics of Solids 196 (2025).","mla":"Friedlein, Johannes, et al. “Modelling of Stress-State-Dependent Ductile Damage with Gradient-Enhancement Exemplified for Clinch Joining.” <i>Journal of the Mechanics and Physics of Solids</i>, vol. 196, 106026, Elsevier BV, 2025, doi:<a href=\"https://doi.org/10.1016/j.jmps.2025.106026\">10.1016/j.jmps.2025.106026</a>.","apa":"Friedlein, J., Mergheim, J., &#38; Steinmann, P. (2025). Modelling of stress-state-dependent ductile damage with gradient-enhancement exemplified for clinch joining. <i>Journal of the Mechanics and Physics of Solids</i>, <i>196</i>, Article 106026. <a href=\"https://doi.org/10.1016/j.jmps.2025.106026\">https://doi.org/10.1016/j.jmps.2025.106026</a>","ieee":"J. Friedlein, J. Mergheim, and P. Steinmann, “Modelling of stress-state-dependent ductile damage with gradient-enhancement exemplified for clinch joining,” <i>Journal of the Mechanics and Physics of Solids</i>, vol. 196, Art. no. 106026, 2025, doi: <a href=\"https://doi.org/10.1016/j.jmps.2025.106026\">10.1016/j.jmps.2025.106026</a>.","chicago":"Friedlein, Johannes, Julia Mergheim, and Paul Steinmann. “Modelling of Stress-State-Dependent Ductile Damage with Gradient-Enhancement Exemplified for Clinch Joining.” <i>Journal of the Mechanics and Physics of Solids</i> 196 (2025). <a href=\"https://doi.org/10.1016/j.jmps.2025.106026\">https://doi.org/10.1016/j.jmps.2025.106026</a>.","ama":"Friedlein J, Mergheim J, Steinmann P. Modelling of stress-state-dependent ductile damage with gradient-enhancement exemplified for clinch joining. <i>Journal of the Mechanics and Physics of Solids</i>. 2025;196. doi:<a href=\"https://doi.org/10.1016/j.jmps.2025.106026\">10.1016/j.jmps.2025.106026</a>"},"intvolume":"       196"},{"year":"2025","date_created":"2024-11-28T08:58:17Z","title":"Inertial dynamics with vanishing Tikhonov regularization for multobjective optimization","publication":"Journal of Mathematical Analysis and Applications","file":[{"relation":"main_file","content_type":"application/pdf","file_size":4291134,"file_id":"57473","file_name":"Inertial dynamics with vanishing Tikhonov regularization for multobjective optimization.pdf","access_level":"open_access","date_updated":"2024-11-28T08:58:00Z","date_created":"2024-11-28T08:58:00Z","creator":"sonntagk"}],"abstract":[{"lang":"eng","text":"In this paper we introduce, in a Hilbert space setting, a second order dynamical system with asymptotically vanishing damping and vanishing Tikhonov regularization that approaches a multiobjective optimization problem with convex and differentiable components of the objective function. Trajectory solutions are shown to exist in finite dimensions. We prove fast convergence of the function values, quantified in terms of a merit function. Based on the regime considered, we establish both weak and, in some cases, strong convergence of trajectory solutions toward a weak Pareto optimal solution. To achieve this, we apply Tikhonov regularization individually to each component of the objective function. This work extends results from single objective convex optimization into the multiobjective setting."}],"external_id":{"arxiv":["2411.18422"]},"language":[{"iso":"eng"}],"keyword":["Pareto optimization","Lyapunov analysis","gradient-like dynamical systems","inertial dynamics","asymptotic vanishing damping","Tikhonov regularization","strong convergence"],"ddc":["510"],"has_accepted_license":"1","citation":{"ieee":"R. I. Bot and K. Sonntag, “Inertial dynamics with vanishing Tikhonov regularization for multobjective optimization,” <i>Journal of Mathematical Analysis and Applications</i>, 2025.","chicago":"Bot, Radu Ioan, and Konstantin Sonntag. “Inertial Dynamics with Vanishing Tikhonov Regularization for Multobjective Optimization.” <i>Journal of Mathematical Analysis and Applications</i>, 2025.","ama":"Bot RI, Sonntag K. Inertial dynamics with vanishing Tikhonov regularization for multobjective optimization. <i>Journal of Mathematical Analysis and Applications</i>. Published online 2025.","apa":"Bot, R. I., &#38; Sonntag, K. (2025). Inertial dynamics with vanishing Tikhonov regularization for multobjective optimization. <i>Journal of Mathematical Analysis and Applications</i>.","bibtex":"@article{Bot_Sonntag_2025, title={Inertial dynamics with vanishing Tikhonov regularization for multobjective optimization}, journal={Journal of Mathematical Analysis and Applications}, author={Bot, Radu Ioan and Sonntag, Konstantin}, year={2025} }","short":"R.I. Bot, K. Sonntag, Journal of Mathematical Analysis and Applications (2025).","mla":"Bot, Radu Ioan, and Konstantin Sonntag. “Inertial Dynamics with Vanishing Tikhonov Regularization for Multobjective Optimization.” <i>Journal of Mathematical Analysis and Applications</i>, 2025."},"author":[{"first_name":"Radu Ioan","last_name":"Bot","full_name":"Bot, Radu Ioan"},{"full_name":"Sonntag, Konstantin","id":"56399","last_name":"Sonntag","orcid":"https://orcid.org/0000-0003-3384-3496","first_name":"Konstantin"}],"date_updated":"2025-10-16T11:56:36Z","oa":"1","main_file_link":[{"url":"https://arxiv.org/pdf/2411.18422"}],"type":"journal_article","status":"public","department":[{"_id":"101"},{"_id":"530"},{"_id":"655"}],"user_id":"56399","_id":"57472","file_date_updated":"2024-11-28T08:58:00Z"},{"year":"2024","page":"2259 - 2286","intvolume":"        34","citation":{"ieee":"K. Sonntag and S. Peitz, “Fast Convergence of Inertial Multiobjective Gradient-Like Systems with Asymptotic Vanishing Damping,” <i>SIAM Journal on Optimization</i>, vol. 34, no. 3, pp. 2259–2286, 2024, doi: <a href=\"https://doi.org/10.1137/23M1588512\">10.1137/23M1588512</a>.","chicago":"Sonntag, Konstantin, and Sebastian Peitz. “Fast Convergence of Inertial Multiobjective Gradient-Like Systems with Asymptotic Vanishing Damping.” <i>SIAM Journal on Optimization</i> 34, no. 3 (2024): 2259–86. <a href=\"https://doi.org/10.1137/23M1588512\">https://doi.org/10.1137/23M1588512</a>.","apa":"Sonntag, K., &#38; Peitz, S. (2024). Fast Convergence of Inertial Multiobjective Gradient-Like Systems with Asymptotic Vanishing Damping. <i>SIAM Journal on Optimization</i>, <i>34</i>(3), 2259–2286. <a href=\"https://doi.org/10.1137/23M1588512\">https://doi.org/10.1137/23M1588512</a>","ama":"Sonntag K, Peitz S. Fast Convergence of Inertial Multiobjective Gradient-Like Systems with Asymptotic Vanishing Damping. <i>SIAM Journal on Optimization</i>. 2024;34(3):2259-2286. doi:<a href=\"https://doi.org/10.1137/23M1588512\">10.1137/23M1588512</a>","short":"K. Sonntag, S. Peitz, SIAM Journal on Optimization 34 (2024) 2259–2286.","mla":"Sonntag, Konstantin, and Sebastian Peitz. “Fast Convergence of Inertial Multiobjective Gradient-Like Systems with Asymptotic Vanishing Damping.” <i>SIAM Journal on Optimization</i>, vol. 34, no. 3, Society for Industrial and Applied Mathematics, 2024, pp. 2259–86, doi:<a href=\"https://doi.org/10.1137/23M1588512\">10.1137/23M1588512</a>.","bibtex":"@article{Sonntag_Peitz_2024, title={Fast Convergence of Inertial Multiobjective Gradient-Like Systems with Asymptotic Vanishing Damping}, volume={34}, DOI={<a href=\"https://doi.org/10.1137/23M1588512\">10.1137/23M1588512</a>}, number={3}, journal={SIAM Journal on Optimization}, publisher={Society for Industrial and Applied Mathematics}, author={Sonntag, Konstantin and Peitz, Sebastian}, year={2024}, pages={2259–2286} }"},"publication_identifier":{"issn":["1095-7189"]},"publication_status":"published","issue":"3","title":"Fast Convergence of Inertial Multiobjective Gradient-Like Systems with Asymptotic Vanishing Damping","doi":"10.1137/23M1588512","publisher":"Society for Industrial and Applied Mathematics","date_updated":"2024-07-02T09:27:39Z","volume":34,"date_created":"2022-07-28T11:53:02Z","author":[{"orcid":"https://orcid.org/0000-0003-3384-3496","last_name":"Sonntag","full_name":"Sonntag, Konstantin","id":"56399","first_name":"Konstantin"},{"full_name":"Peitz, Sebastian","id":"47427","last_name":"Peitz","orcid":"0000-0002-3389-793X","first_name":"Sebastian"}],"abstract":[{"text":"We present a new gradient-like dynamical system related to unconstrained convex smooth multiobjective optimization which involves inertial effects and asymptotic vanishing damping. To the best of our knowledge, this system is the first inertial gradient-like system for multiobjective optimization problems including asymptotic vanishing damping, expanding the ideas previously laid out in [H. Attouch and G. Garrigos, Multiobjective Optimization: An Inertial Dynamical Approach to Pareto Optima, preprint, arXiv:1506.02823, 2015]. We prove existence of solutions to this system in finite dimensions and further prove that its bounded solutions converge weakly to weakly Pareto optimal points. In addition, we obtain a convergence rate of order \\(\\mathcal{O}(t^{-2})\\) for the function values measured with a merit function. This approach presents a good basis for the development of fast gradient methods for multiobjective optimization.","lang":"eng"}],"status":"public","publication":"SIAM Journal on Optimization","type":"journal_article","keyword":["multiobjective optimization","Pareto optimization","Lyapunov analysis","gradient-likedynamical systems","inertial dynamics","asymptotic vanishing damping","fast convergence"],"article_type":"original","language":[{"iso":"eng"}],"_id":"32447","department":[{"_id":"101"},{"_id":"655"}],"user_id":"56399"},{"type":"journal_article","publication":"European Journal of Mechanics - A/Solids","status":"public","abstract":[{"lang":"eng","text":"We contrast different gradient-enhancements for plasticity-damage material models in the logarithmic strain space and compare them to reference models based on multiplicative plasticity. The models being compared include plasticity - gradient-damage, where the gradient-enhancement is applied on the local damage variable, and gradient-plasticity - damage with a gradient-enhanced plastic hardening variable. Thereby, gradient-plasticity proved to be able to simultaneously regularise plastic and ductile (plasticity-driven) damage localisation as confirmed by numerical localisation analyses. This appears to be especially advantageous for logarithmic strain space plasticity-damage, because of the observed plastic localisation even for the case of plasticity with hardening. Even though gradient-plasticity appears to be numerically more demanding, two numerical examples indicate a good robustness and mesh objectivity in the softening regime. Moreover, the internal length for plasticity is able to adjust the damage zone width, similarly to gradient-damage, however ensuring a priori that damage takes place exclusively inside the plastic zone."}],"user_id":"84990","project":[{"_id":"130","name":"TRR 285: TRR 285"},{"_id":"131","name":"TRR 285 - A: TRR 285 - Project Area A"},{"name":"TRR 285 – A05: TRR 285 - Subproject A05","_id":"139"},{"name":"TRR 285:  Methodenentwicklung zur mechanischen Fügbarkeit in wandlungsfähigen Prozessketten","_id":"130"}],"_id":"56097","language":[{"iso":"eng"}],"article_number":"104946","article_type":"original","keyword":["Finite plasticity","Logarithmic strain space","Ductile damage","Gradient-enhancement","Gradient-plasticity","Gradient-damage","Loss of ellipticity"],"publication_status":"published","publication_identifier":{"issn":["0997-7538"]},"citation":{"short":"J. Friedlein, J. Mergheim, P. Steinmann, European Journal of Mechanics - A/Solids 99 (2023).","bibtex":"@article{Friedlein_Mergheim_Steinmann_2023, title={Efficient gradient enhancements for plasticity with ductile damage in the logarithmic strain space}, volume={99}, DOI={<a href=\"https://doi.org/10.1016/j.euromechsol.2023.104946\">10.1016/j.euromechsol.2023.104946</a>}, number={104946}, journal={European Journal of Mechanics - A/Solids}, publisher={Elsevier BV}, author={Friedlein, Johannes and Mergheim, Julia and Steinmann, Paul}, year={2023} }","mla":"Friedlein, Johannes, et al. “Efficient Gradient Enhancements for Plasticity with Ductile Damage in the Logarithmic Strain Space.” <i>European Journal of Mechanics - A/Solids</i>, vol. 99, 104946, Elsevier BV, 2023, doi:<a href=\"https://doi.org/10.1016/j.euromechsol.2023.104946\">10.1016/j.euromechsol.2023.104946</a>.","ama":"Friedlein J, Mergheim J, Steinmann P. Efficient gradient enhancements for plasticity with ductile damage in the logarithmic strain space. <i>European Journal of Mechanics - A/Solids</i>. 2023;99. doi:<a href=\"https://doi.org/10.1016/j.euromechsol.2023.104946\">10.1016/j.euromechsol.2023.104946</a>","apa":"Friedlein, J., Mergheim, J., &#38; Steinmann, P. (2023). Efficient gradient enhancements for plasticity with ductile damage in the logarithmic strain space. <i>European Journal of Mechanics - A/Solids</i>, <i>99</i>, Article 104946. <a href=\"https://doi.org/10.1016/j.euromechsol.2023.104946\">https://doi.org/10.1016/j.euromechsol.2023.104946</a>","chicago":"Friedlein, Johannes, Julia Mergheim, and Paul Steinmann. “Efficient Gradient Enhancements for Plasticity with Ductile Damage in the Logarithmic Strain Space.” <i>European Journal of Mechanics - A/Solids</i> 99 (2023). <a href=\"https://doi.org/10.1016/j.euromechsol.2023.104946\">https://doi.org/10.1016/j.euromechsol.2023.104946</a>.","ieee":"J. Friedlein, J. Mergheim, and P. Steinmann, “Efficient gradient enhancements for plasticity with ductile damage in the logarithmic strain space,” <i>European Journal of Mechanics - A/Solids</i>, vol. 99, Art. no. 104946, 2023, doi: <a href=\"https://doi.org/10.1016/j.euromechsol.2023.104946\">10.1016/j.euromechsol.2023.104946</a>."},"intvolume":"        99","year":"2023","author":[{"first_name":"Johannes","full_name":"Friedlein, Johannes","last_name":"Friedlein"},{"last_name":"Mergheim","full_name":"Mergheim, Julia","first_name":"Julia"},{"first_name":"Paul","last_name":"Steinmann","full_name":"Steinmann, Paul"}],"date_created":"2024-09-10T15:23:49Z","volume":99,"date_updated":"2026-02-24T14:37:05Z","publisher":"Elsevier BV","doi":"10.1016/j.euromechsol.2023.104946","title":"Efficient gradient enhancements for plasticity with ductile damage in the logarithmic strain space"},{"status":"public","abstract":[{"lang":"eng","text":"As an effective and accurate method for modelling composite materials, mean-field homogenization is still not well studied in modelling non-linear and damage behaviours of UD composites. Investigated micro FE-simulations show that the matrix of UD composites exhibits different average plastic behaviour, named as average asymmetric matrix plasticity (AAMP), when the composite behaves different under shear, longitudinal and transverse loadings. In this study, a non-linear mean-field debonding model (NMFDM) combining a mean-field model and a fibre–matrix interface debonding model, is developed to simulate UD composites under consideration of AAMP, fibre–matrix interface damage and progressive failure. AAMP is considered by using so-called stress mode factor, which is expressed in terms of basic invariants of the matrix deviatoric stress tensor and is used as an indicator for detection of differences in the loading mode. The material behaviour of UD composites with imperfect interface is assumed identical as for perfect interface and stiffness reduced fibres. Progressive failure criteria are established with consideration of fibre breakage and matrix crack for different fibre orientations. As a representative example for the NMFDM, a C30/E201 UD composite is studied. To verify the model, experiments are conducted on polymers, carbon fibres and UD CFRPs. Finally, the model is applied to simulate a perforated CFRP laminate, which shows excellent prediction ability on deformation, debonding and progressive failure."}],"publication":"Composites Part B: Engineering","type":"journal_article","language":[{"iso":"eng"}],"keyword":["Non-linear mean-field homogenization Average asymmetric plasticity of matrix Fibre–matrix interface debonding Micro-mechanical FE-simulation Progressive failure"],"article_number":"109209","department":[{"_id":"9"},{"_id":"154"},{"_id":"321"},{"_id":"149"}],"user_id":"15952","_id":"23431","intvolume":"       224","citation":{"short":"C. Cheng, Z. Wang, Z. Jin, X. Ju, S. Schweizer, T. Tröster, R. Mahnken, Composites Part B: Engineering 224 (2021).","bibtex":"@article{Cheng_Wang_Jin_Ju_Schweizer_Tröster_Mahnken_2021, title={Non-linear mean-field modelling of UD composite laminates accounting for average asymmetric plasticity of the matrix, debonding and progressive failure}, volume={224}, DOI={<a href=\"https://doi.org/10.1016/j.compositesb.2021.109209\">10.1016/j.compositesb.2021.109209</a>}, number={109209}, journal={Composites Part B: Engineering}, author={Cheng, C. and Wang, Z. and Jin, Z. and Ju, X. and Schweizer, Swetlana and Tröster, Thomas and Mahnken, Rolf}, year={2021} }","mla":"Cheng, C., et al. “Non-Linear Mean-Field Modelling of UD Composite Laminates Accounting for Average Asymmetric Plasticity of the Matrix, Debonding and Progressive Failure.” <i>Composites Part B: Engineering</i>, vol. 224, 109209, 2021, doi:<a href=\"https://doi.org/10.1016/j.compositesb.2021.109209\">10.1016/j.compositesb.2021.109209</a>.","apa":"Cheng, C., Wang, Z., Jin, Z., Ju, X., Schweizer, S., Tröster, T., &#38; Mahnken, R. (2021). Non-linear mean-field modelling of UD composite laminates accounting for average asymmetric plasticity of the matrix, debonding and progressive failure. <i>Composites Part B: Engineering</i>, <i>224</i>, Article 109209. <a href=\"https://doi.org/10.1016/j.compositesb.2021.109209\">https://doi.org/10.1016/j.compositesb.2021.109209</a>","chicago":"Cheng, C., Z. Wang, Z. Jin, X. Ju, Swetlana Schweizer, Thomas Tröster, and Rolf Mahnken. “Non-Linear Mean-Field Modelling of UD Composite Laminates Accounting for Average Asymmetric Plasticity of the Matrix, Debonding and Progressive Failure.” <i>Composites Part B: Engineering</i> 224 (2021). <a href=\"https://doi.org/10.1016/j.compositesb.2021.109209\">https://doi.org/10.1016/j.compositesb.2021.109209</a>.","ieee":"C. Cheng <i>et al.</i>, “Non-linear mean-field modelling of UD composite laminates accounting for average asymmetric plasticity of the matrix, debonding and progressive failure,” <i>Composites Part B: Engineering</i>, vol. 224, Art. no. 109209, 2021, doi: <a href=\"https://doi.org/10.1016/j.compositesb.2021.109209\">10.1016/j.compositesb.2021.109209</a>.","ama":"Cheng C, Wang Z, Jin Z, et al. Non-linear mean-field modelling of UD composite laminates accounting for average asymmetric plasticity of the matrix, debonding and progressive failure. <i>Composites Part B: Engineering</i>. 2021;224. doi:<a href=\"https://doi.org/10.1016/j.compositesb.2021.109209\">10.1016/j.compositesb.2021.109209</a>"},"year":"2021","publication_identifier":{"issn":["1359-8368"]},"quality_controlled":"1","publication_status":"published","doi":"10.1016/j.compositesb.2021.109209","title":"Non-linear mean-field modelling of UD composite laminates accounting for average asymmetric plasticity of the matrix, debonding and progressive failure","volume":224,"date_created":"2021-08-18T06:20:21Z","author":[{"full_name":"Cheng, C.","last_name":"Cheng","first_name":"C."},{"first_name":"Z.","full_name":"Wang, Z.","last_name":"Wang"},{"first_name":"Z.","last_name":"Jin","full_name":"Jin, Z."},{"first_name":"X.","last_name":"Ju","full_name":"Ju, X."},{"last_name":"Schweizer","id":"8938","full_name":"Schweizer, Swetlana","first_name":"Swetlana"},{"id":"553","full_name":"Tröster, Thomas","last_name":"Tröster","first_name":"Thomas"},{"last_name":"Mahnken","id":"335","full_name":"Mahnken, Rolf","first_name":"Rolf"}],"date_updated":"2025-06-06T08:08:32Z"},{"department":[{"_id":"54"}],"user_id":"44006","_id":"11927","status":"public","type":"journal_article","doi":"10.1109/TASL.2007.898454","main_file_link":[{"url":"https://groups.uni-paderborn.de/nt/pubs/2007/WaHa07.pdf","open_access":"1"}],"volume":15,"author":[{"full_name":"Warsitz, Ernst","last_name":"Warsitz","first_name":"Ernst"},{"first_name":"Reinhold","last_name":"Haeb-Umbach","id":"242","full_name":"Haeb-Umbach, Reinhold"}],"oa":"1","date_updated":"2022-01-06T06:51:12Z","page":"1529-1539","intvolume":"        15","citation":{"ieee":"E. Warsitz and R. Haeb-Umbach, “Blind Acoustic Beamforming Based on Generalized Eigenvalue Decomposition,” <i>IEEE Transactions on Audio, Speech, and Language Processing</i>, vol. 15, no. 5, pp. 1529–1539, 2007.","chicago":"Warsitz, Ernst, and Reinhold Haeb-Umbach. “Blind Acoustic Beamforming Based on Generalized Eigenvalue Decomposition.” <i>IEEE Transactions on Audio, Speech, and Language Processing</i> 15, no. 5 (2007): 1529–39. <a href=\"https://doi.org/10.1109/TASL.2007.898454\">https://doi.org/10.1109/TASL.2007.898454</a>.","ama":"Warsitz E, Haeb-Umbach R. Blind Acoustic Beamforming Based on Generalized Eigenvalue Decomposition. <i>IEEE Transactions on Audio, Speech, and Language Processing</i>. 2007;15(5):1529-1539. doi:<a href=\"https://doi.org/10.1109/TASL.2007.898454\">10.1109/TASL.2007.898454</a>","apa":"Warsitz, E., &#38; Haeb-Umbach, R. (2007). Blind Acoustic Beamforming Based on Generalized Eigenvalue Decomposition. <i>IEEE Transactions on Audio, Speech, and Language Processing</i>, <i>15</i>(5), 1529–1539. <a href=\"https://doi.org/10.1109/TASL.2007.898454\">https://doi.org/10.1109/TASL.2007.898454</a>","bibtex":"@article{Warsitz_Haeb-Umbach_2007, title={Blind Acoustic Beamforming Based on Generalized Eigenvalue Decomposition}, volume={15}, DOI={<a href=\"https://doi.org/10.1109/TASL.2007.898454\">10.1109/TASL.2007.898454</a>}, number={5}, journal={IEEE Transactions on Audio, Speech, and Language Processing}, author={Warsitz, Ernst and Haeb-Umbach, Reinhold}, year={2007}, pages={1529–1539} }","short":"E. Warsitz, R. Haeb-Umbach, IEEE Transactions on Audio, Speech, and Language Processing 15 (2007) 1529–1539.","mla":"Warsitz, Ernst, and Reinhold Haeb-Umbach. “Blind Acoustic Beamforming Based on Generalized Eigenvalue Decomposition.” <i>IEEE Transactions on Audio, Speech, and Language Processing</i>, vol. 15, no. 5, 2007, pp. 1529–39, doi:<a href=\"https://doi.org/10.1109/TASL.2007.898454\">10.1109/TASL.2007.898454</a>."},"language":[{"iso":"eng"}],"keyword":["acoustic signal processing","arbitrary transfer function","array signal processing","blind acoustic beamforming","direction-of-arrival","direction-of-arrival estimation","eigenvalues and eigenfunctions","generalized eigenvalue decomposition","gradient ascent adaptation algorithm","microphone arrays","microphones","narrowband array beamforming","sensor array","single-channel post-filter","spatially colored noise","transfer functions"],"abstract":[{"text":"Maximizing the output signal-to-noise ratio (SNR) of a sensor array in the presence of spatially colored noise leads to a generalized eigenvalue problem. While this approach has extensively been employed in narrowband (antenna) array beamforming, it is typically not used for broadband (microphone) array beamforming due to the uncontrolled amount of speech distortion introduced by a narrowband SNR criterion. In this paper, we show how the distortion of the desired signal can be controlled by a single-channel post-filter, resulting in a performance comparable to the generalized minimum variance distortionless response beamformer, where arbitrary transfer functions relate the source and the microphones. Results are given both for directional and diffuse noise. A novel gradient ascent adaptation algorithm is presented, and its good convergence properties are experimentally revealed by comparison with alternatives from the literature. A key feature of the proposed beamformer is that it operates blindly, i.e., it neither requires knowledge about the array geometry nor an explicit estimation of the transfer functions from source to sensors or the direction-of-arrival.","lang":"eng"}],"publication":"IEEE Transactions on Audio, Speech, and Language Processing","title":"Blind Acoustic Beamforming Based on Generalized Eigenvalue Decomposition","date_created":"2019-07-12T05:30:57Z","year":"2007","issue":"5"},{"department":[{"_id":"54"}],"user_id":"44006","_id":"11930","language":[{"iso":"eng"}],"keyword":["acoustic filter-and-sum beamforming","acoustic room impulses","acoustic signal processing","adaptive principal component analysis","adaptive signal processing","architectural acoustics","constrained optimization problem","cross power spectral density","deterministic algorithm","deterministic algorithms","distant-talking environments","eigenvalues and eigenfunctions","eigenvector","enhanced signal","filter-and-sum beamformer","FIR filter coefficients","FIR filter coefficients","FIR filters","gradient methods","human-machine interfaces","iterative estimation","iterative methods","largest eigenvalue","microphone signals","multichannel signal processing","optimisation","principal component analysis","spectral analysis","stochastic gradient ascent algorithm","stochastic processes"],"publication":"IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP 2005)","type":"conference","status":"public","abstract":[{"text":"For human-machine interfaces in distant-talking environments multichannel signal processing is often employed to obtain an enhanced signal for subsequent processing. In this paper we propose a novel adaptation algorithm for a filter-and-sum beamformer to adjust the coefficients of FIR filters to changing acoustic room impulses, e.g. due to speaker movement. A deterministic and a stochastic gradient ascent algorithm are derived from a constrained optimization problem, which iteratively estimates the eigenvector corresponding to the largest eigenvalue of the cross power spectral density of the microphone signals. The method does not require an explicit estimation of the speaker location. The experimental results show fast adaptation and excellent robustness of the proposed algorithm.","lang":"eng"}],"volume":4,"date_created":"2019-07-12T05:31:00Z","author":[{"first_name":"Ernst","full_name":"Warsitz, Ernst","last_name":"Warsitz"},{"first_name":"Reinhold","full_name":"Haeb-Umbach, Reinhold","id":"242","last_name":"Haeb-Umbach"}],"date_updated":"2022-01-06T06:51:12Z","oa":"1","doi":"10.1109/ICASSP.2005.1416129","main_file_link":[{"url":"https://groups.uni-paderborn.de/nt/pubs/2005/WaHa05.pdf","open_access":"1"}],"title":"Acoustic filter-and-sum beamforming by adaptive principal component analysis","page":"iv/797-iv/800 Vol. 4","intvolume":"         4","citation":{"ama":"Warsitz E, Haeb-Umbach R. Acoustic filter-and-sum beamforming by adaptive principal component analysis. In: <i>IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP 2005)</i>. Vol 4. ; 2005:iv/797-iv/800 Vol. 4. doi:<a href=\"https://doi.org/10.1109/ICASSP.2005.1416129\">10.1109/ICASSP.2005.1416129</a>","chicago":"Warsitz, Ernst, and Reinhold Haeb-Umbach. “Acoustic Filter-and-Sum Beamforming by Adaptive Principal Component Analysis.” In <i>IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP 2005)</i>, 4:iv/797-iv/800 Vol. 4, 2005. <a href=\"https://doi.org/10.1109/ICASSP.2005.1416129\">https://doi.org/10.1109/ICASSP.2005.1416129</a>.","ieee":"E. Warsitz and R. Haeb-Umbach, “Acoustic filter-and-sum beamforming by adaptive principal component analysis,” in <i>IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP 2005)</i>, 2005, vol. 4, p. iv/797-iv/800 Vol. 4.","apa":"Warsitz, E., &#38; Haeb-Umbach, R. (2005). Acoustic filter-and-sum beamforming by adaptive principal component analysis. In <i>IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP 2005)</i> (Vol. 4, p. iv/797-iv/800 Vol. 4). <a href=\"https://doi.org/10.1109/ICASSP.2005.1416129\">https://doi.org/10.1109/ICASSP.2005.1416129</a>","short":"E. Warsitz, R. Haeb-Umbach, in: IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP 2005), 2005, p. iv/797-iv/800 Vol. 4.","bibtex":"@inproceedings{Warsitz_Haeb-Umbach_2005, title={Acoustic filter-and-sum beamforming by adaptive principal component analysis}, volume={4}, DOI={<a href=\"https://doi.org/10.1109/ICASSP.2005.1416129\">10.1109/ICASSP.2005.1416129</a>}, booktitle={IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP 2005)}, author={Warsitz, Ernst and Haeb-Umbach, Reinhold}, year={2005}, pages={iv/797-iv/800 Vol. 4} }","mla":"Warsitz, Ernst, and Reinhold Haeb-Umbach. “Acoustic Filter-and-Sum Beamforming by Adaptive Principal Component Analysis.” <i>IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP 2005)</i>, vol. 4, 2005, p. iv/797-iv/800 Vol. 4, doi:<a href=\"https://doi.org/10.1109/ICASSP.2005.1416129\">10.1109/ICASSP.2005.1416129</a>."},"year":"2005"}]