Blind Identification of Mixed Phase All-Zero Systems using Time-reversed Filtering and Higher Order Statistics
Jani Even, Kenji Sugimoto · Proceedings of the ISCIE International Symposium on Stochastic Systems Theory and its Applications · 2006
This paper proposes a method for the blind deconvolution of all-zero mixed phase systems (also called mixed phase MA filters). A criterion based on higher order statistics is used while assuming non-Gaussianity of the unknown input signal. The inverse system used to perform deconvolution is not a finite impulse response (FIR) filter but a two-sided infinite impulse response (IIR) filter. The Z-transform ‘time-reversal’ property is used for developing an iterative blind deconvolution algorithm. An adaptation rule for the non causal part of the two-sided IIR filter is derived in the time-reversed case. An initialization scheme is also studied in order to avoid being trapped in local maxima of the criterion.