Consistent KTH-order time-frequency representations for (almost) cyclostationary signals

G. B. Gianakis; A. V. Dandawate

doi:10.1109/TFTSA.1992.274220

Consistent KTH-order time-frequency representations for (almost) cyclostationary signals

G. B. Gianakis
, A. V. Dandawate

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

3 Scopus citations

Abstract

Limitations of existing kth-order time-frequency representations (TFR) are discussed. It is emphasized that consistent estimation of TFRs is possible if the underlying nonstationarity is structured. The role of consistent and asymptotically normal cyclic-statistics in estimating the TFRs of cyclostationarity processes is elucidated, and relationships between cyclic-statistics, ambiguity functions, and Wigner-Ville distributions are discussed. Noise immunity of cyclic-statistics is shown. Conditions for consistent estimation of statistics of a class of nonstationary processes are given without assuming cyclostationarity.

Original language	English (US)
Title of host publication	Proceedings of the IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	123-126
Number of pages	4
ISBN (Electronic)	0780308050, 9780780308053
DOIs	https://doi.org/10.1109/TFTSA.1992.274220
State	Published - 1992
Externally published	Yes
Event	1992 IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis - Victoria, Canada Duration: Oct 4 1992 → Oct 6 1992

Publication series

Name	Proceedings of the IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis

Conference

Conference	1992 IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis
Country/Territory	Canada
City	Victoria
Period	10/4/92 → 10/6/92

Bibliographical note

Publisher Copyright:
© 1992 IEEE.

Publisher link

10.1109/TFTSA.1992.274220

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Gianakis, G. B., & Dandawate, A. V. (1992). Consistent KTH-order time-frequency representations for (almost) cyclostationary signals. In Proceedings of the IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis (pp. 123-126). Article 274220 (Proceedings of the IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/TFTSA.1992.274220

Consistent KTH-order time-frequency representations for (almost) cyclostationary signals. / Gianakis, G. B.; Dandawate, A. V.
Proceedings of the IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis. Institute of Electrical and Electronics Engineers Inc., 1992. p. 123-126 274220 (Proceedings of the IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Gianakis, GB & Dandawate, AV 1992, Consistent KTH-order time-frequency representations for (almost) cyclostationary signals. in Proceedings of the IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis., 274220, Proceedings of the IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis, Institute of Electrical and Electronics Engineers Inc., pp. 123-126, 1992 IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis, Victoria, Canada, 10/4/92. https://doi.org/10.1109/TFTSA.1992.274220

Gianakis GB, Dandawate AV. Consistent KTH-order time-frequency representations for (almost) cyclostationary signals. In Proceedings of the IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis. Institute of Electrical and Electronics Engineers Inc. 1992. p. 123-126. 274220. (Proceedings of the IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis). doi: 10.1109/TFTSA.1992.274220

Gianakis, G. B. ; Dandawate, A. V. / Consistent KTH-order time-frequency representations for (almost) cyclostationary signals. Proceedings of the IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis. Institute of Electrical and Electronics Engineers Inc., 1992. pp. 123-126 (Proceedings of the IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis).

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abstract = "Limitations of existing kth-order time-frequency representations (TFR) are discussed. It is emphasized that consistent estimation of TFRs is possible if the underlying nonstationarity is structured. The role of consistent and asymptotically normal cyclic-statistics in estimating the TFRs of cyclostationarity processes is elucidated, and relationships between cyclic-statistics, ambiguity functions, and Wigner-Ville distributions are discussed. Noise immunity of cyclic-statistics is shown. Conditions for consistent estimation of statistics of a class of nonstationary processes are given without assuming cyclostationarity.",

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AB - Limitations of existing kth-order time-frequency representations (TFR) are discussed. It is emphasized that consistent estimation of TFRs is possible if the underlying nonstationarity is structured. The role of consistent and asymptotically normal cyclic-statistics in estimating the TFRs of cyclostationarity processes is elucidated, and relationships between cyclic-statistics, ambiguity functions, and Wigner-Ville distributions are discussed. Noise immunity of cyclic-statistics is shown. Conditions for consistent estimation of statistics of a class of nonstationary processes are given without assuming cyclostationarity.

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ER -

Consistent KTH-order time-frequency representations for (almost) cyclostationary signals

Abstract

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Bibliographical note

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