A blind separation method of overlapped multi-components based on time varying AR model

A method utilizing single channel recordings to blindly separate the multicomponents overlapped in time and frequency domains is proposed in this paper. Based on the time varying AR model, the instantaneous frequency and amplitude of each signal component are estimated respectively, thus the signal component separation is achieved. By using prolate spheroidal sequence as basis functions to expand the time varying parameters of the AR model, the method turns the problem of linear time varying parameters estimation to a linear time invariant parameter estimation problem, then the parameters are estimated by a recursive algorithm. The computation of this method is simple, and no prior knowledge of the signals is needed. Simulation results demonstrate validity and excellent performance of this method.

[1]  Ljubisa Stankovic,et al.  Signal reconstruction from two close fractional Fourier power spectra , 2003, IEEE Trans. Signal Process..

[2]  Sergio Barbarossa,et al.  Analysis of polynomial-phase signals by the integrated generalized ambiguity function , 1997, IEEE Trans. Signal Process..

[3]  B. Friedlander,et al.  Multicomponent signal analysis using the polynomial-phase transform , 1996, IEEE Transactions on Aerospace and Electronic Systems.

[4]  G.-J. Jang,et al.  Single-channel signal separation using time-domain basis functions , 2003, IEEE Signal Processing Letters.

[5]  Thomas F. Quatieri,et al.  Estimation of modulation based on FM-to-AM transduction: two-sinusoid case , 1999, IEEE Trans. Signal Process..

[6]  D. Slepian Prolate spheroidal wave functions, fourier analysis, and uncertainty — V: the discrete case , 1978, The Bell System Technical Journal.

[7]  Souguil Ann,et al.  Robust time-varying parametric modelling of voiced speech , 1995, Signal Process..

[8]  Joseph M. Francos,et al.  Estimation of amplitude and phase parameters of multicomponent signals , 1995, IEEE Trans. Signal Process..

[9]  Petros Maragos,et al.  Multicomponent AM-FM demodulation via periodicity-based algebraic separation and energy-based demodulation , 2000, IEEE Trans. Commun..

[10]  Boualem Boashash,et al.  Polynomial time-frequency distributions and time-varying higher order spectra: Application to the analysis of multicomponent FM signals and to the treatment of multiplicative noise , 1998, Signal Process..

[11]  Boualem Boashash,et al.  Adaptive instantaneous frequency estimation of multicomponent FM signals using quadratic time-frequency distributions , 2002, IEEE Trans. Signal Process..