Title :
Consistent kth-order time-frequency representations for (almost) cyclostationary signals
Author :
Gianakis, G.B. ; Dandawate, Amod V.
Author_Institution :
Dept. of Electr. Eng., Virginia Univ., Charlottesville, VA, USA
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
Keywords :
parameter estimation; signal processing; statistics; time-frequency analysis; Wigner-Ville distributions; ambiguity functions; asymptotically normal cyclic-statistics; consistent estimation; cyclostationary signals; kth-order time-frequency representations; noise immunity; underlying nonstationarity; Animals; Chirp; Marine vehicles; Radar signal processing; Signal analysis; Signal processing; Sonar; Spectral analysis; Statistical distributions; Time frequency analysis;
Conference_Titel :
Time-Frequency and Time-Scale Analysis, 1992., Proceedings of the IEEE-SP International Symposium
Conference_Location :
Victoria, BC
Print_ISBN :
0-7803-0805-0
DOI :
10.1109/TFTSA.1992.274220
