Title :
Signal synthesis and positive time frequency distributions
Author :
Shah, S.I. ; El-Jaroudi, A. ; Loughlin, P.J. ; Chaparro, L.F.
Author_Institution :
Fac. of Electron. Eng., GIK Inst. of Eng. Sci. & Technol., Topi, Pakistan
Abstract :
A method for obtaining a generalized transfer function (GTF) of a linear time-varying system based on the evolutionary spectral theory is proposed. This GTF can be used to synthesize the signal, and its magnitude squared function results in the signal´s positive time frequency distribution that satisfies the marginals (i.e., a Cohen-Posch (1995) TFD). The procedure allows any prior estimate of the GTF to be modified such that the resulting posterior GTF is closest in the least square sense to the prior and satisfies the above mentioned properties. Examples are presented to illustrate the performance of the method
Keywords :
least squares approximations; linear systems; signal synthesis; spectral analysis; statistical analysis; time-frequency analysis; time-varying systems; transfer functions; Cohen-Posch TFD; evolutionary spectral theory; generalized transfer function; least squares; linear time-varying system; magnitude squared function results; marginals; performance; positive time frequency distributions; signal synthesis; Fourier transforms; Iterative algorithms; Lagrangian functions; Least squares approximation; Minimization methods; Signal processing; Signal synthesis; Time frequency analysis; Time varying systems; Transfer functions;
Conference_Titel :
Time-Frequency and Time-Scale Analysis, 1998. Proceedings of the IEEE-SP International Symposium on
Conference_Location :
Pittsburgh, PA
Print_ISBN :
0-7803-5073-1
DOI :
10.1109/TFSA.1998.721350
