Spectra of multidimensional complex improper (almost) cyclostationary processes
P. Wahlberg, P.J. Schreier, in: Proc.\ IEEE Int.\ Symp.\ Inform.\ Theory, 2007, pp. 971–975.
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Wahlberg, Patrik;
Schreier, Peter J.
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Abstract
We analyze the spectral measure and complementary spectral measure for strongly harmonizable cyclostationary and almost cyclostationary multidimensional complex improper processes. We show that the off-diagonal components of the spectral measure are absolutely continuous with respect to the diagonal component, which is a generalization of a result for scalar processes. For scalar almost cyclostationary processes, we derive representation formulas for the complementary spectral measure and the off-diagonal components of the spectral measure, in terms of the diagonal component of the spectral measure. These results are similar to the cyclostationary case, with some modifications concerning the off-diagonal components of the complementary spectral measure.
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Proc.\ IEEE Int.\ Symp.\ Inform.\ Theory
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971–975
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Wahlberg P, Schreier PJ. Spectra of multidimensional complex improper (almost) cyclostationary processes. In: Proc.\ IEEE Int.\ Symp.\ Inform.\ Theory. ; 2007:971–975. doi:10.1109/ISIT.2007.4557350
Wahlberg, P., & Schreier, P. J. (2007). Spectra of multidimensional complex improper (almost) cyclostationary processes. Proc.\ IEEE Int.\ Symp.\ Inform.\ Theory, 971–975. https://doi.org/10.1109/ISIT.2007.4557350
@inproceedings{Wahlberg_Schreier_2007, title={Spectra of multidimensional complex improper (almost) cyclostationary processes}, DOI={10.1109/ISIT.2007.4557350}, booktitle={Proc.\ IEEE Int.\ Symp.\ Inform.\ Theory}, author={Wahlberg, Patrik and Schreier, Peter J.}, year={2007}, pages={971–975} }
Wahlberg, Patrik, and Peter J. Schreier. “Spectra of Multidimensional Complex Improper (Almost) Cyclostationary Processes.” In Proc.\ IEEE Int.\ Symp.\ Inform.\ Theory, 971–975, 2007. https://doi.org/10.1109/ISIT.2007.4557350.
P. Wahlberg and P. J. Schreier, “Spectra of multidimensional complex improper (almost) cyclostationary processes,” in Proc.\ IEEE Int.\ Symp.\ Inform.\ Theory, 2007, pp. 971–975, doi: 10.1109/ISIT.2007.4557350.
Wahlberg, Patrik, and Peter J. Schreier. “Spectra of Multidimensional Complex Improper (Almost) Cyclostationary Processes.” Proc.\ IEEE Int.\ Symp.\ Inform.\ Theory, 2007, pp. 971–975, doi:10.1109/ISIT.2007.4557350.
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