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Spectral relations for multidimensional complex improper stationary and (almost) cyclostationary processes
Univ Newcastle, Sch Elect Engn & Comp Sci, Callaghan, NSW 2308, Australia.
Univ Newcastle, Sch Elect Engn & Comp Sci, Callaghan, NSW 2308, Australia.
2008 (English)In: IEEE Transactions on Information Theory, ISSN 0018-9448, Vol. 54, no 4, 1670-1682 p.Article in journal (Refereed) Published
Abstract [en]

We study continuous-time multidimensional widesense stationary (WSS) and (almost) cyclostationary processes in the frequency domain. Under the assumption that the correlation function is uniformly continuous, we prove the existence of a unique sequence of spectral measures, which coincide with the restrictions to certain subdiagonals of the spectral measure in the strongly harmonizable case. Moreover, the off-diagonal measures are absolutely continuous with respect to the diagonal measure. As a consequence, for strongly harmonizable scalar improper almost cyclostationary processes, we obtain representation formulas for the components of the complementary spectral measure and the off-diagonal components of the spectral measure, in terms of the diagonal component of the spectral measure. We apply these results to analytic signals, which produces sufficient conditions for propriety for almost cyclostationary analytic signals.

Place, publisher, year, edition, pages
Piscataway: IEEE , 2008. Vol. 54, no 4, 1670-1682 p.
National Category
Signal Processing
Research subject
Technology (byts ev till Engineering)
Identifiers
URN: urn:nbn:se:lnu:diva-27585DOI: 10.1109/TIT.2008.917626ISI: 000254475300019OAI: oai:DiVA.org:lnu-27585DiVA: diva2:637387
Conference
IEEE International Symposium on Information Theory Location: Nice, FRANCE Date: JUN 24-29, 2007
Available from: 2013-07-17 Created: 2013-07-17 Last updated: 2013-07-29Bibliographically approved

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