Pasquier, MartinGoncalves, PauloBaraniuk, Richard G.2007-10-312007-10-311999-01-012004-11-07M. Pasquier, P. Goncalves and R. G. Baraniuk, "Hybrid Linear / Bilinear Time-Scale Analysis," <i>IEEE Transactions on Signal Processing,</i> vol. 47, no. 1, 1999.https://hdl.handle.net/1911/20200Journal PaperWe introduce a new method for the time-scale analysis of non-stationary 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 better modeled in terms of time shifts and scale changes than in terms of time and frequency shifts. Using a wavelet decomposition and the Bertrand 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 for cross-term deleted representations in general.engTemporaryTime Frequency and Spectral AnalysisJournal articleTemporaryhttp://dx.doi.org/10.1109/78.738266