Title :
Hybrid linear/bilinear time-scale analysis
Author :
Pasquier, M. ; Goncalves, Patricia ; Baraniuk, Richard
Author_Institution :
Ecole Nat. Superieure des Telecommun., Paris, France
Abstract :
We introduce a new method for the time-scale analysis of nonstationary signals. Our work leverages the success of the “time-frequency distribution series/cross-term deleted representations” into the time-scale domain to match wide-band signals that are not well modeled in terms of time and frequency shifts. Using a wavelet decomposition and the Bertrand (see J. Math. Phys., vol.33, p.2515-27, 1992) time-scale distribution, we locally balance linearity and bilinearity in order to provide good resolution while suppressing troublesome interference components. The theory of frames provides a unifying perspective and leads us to insights into the cross-term deleted representations
Keywords :
bilinear systems; interference suppression; linear systems; signal representation; statistical analysis; time-frequency analysis; wavelet transforms; frames theory; frequency shifts; hybrid linear/bilinear time-scale analysis; interference components suppression; nonstationary signals; series/cross-term deleted representations; time shifts; time-frequency distribution; time-scale distribution; time-scale domain; wavelet decomposition; wideband signal matching; Discrete transforms; Interference suppression; Linearity; Narrowband; Radar; Signal analysis; Signal resolution; Telecommunications; Time frequency analysis; Wideband;
Conference_Titel :
Time-Frequency and Time-Scale Analysis, 1996., Proceedings of the IEEE-SP International Symposium on
Conference_Location :
Paris
Print_ISBN :
0-7803-3512-0
DOI :
10.1109/TFSA.1996.550105
