Blind Order Detection and Parameter Estimation of MISO-FIR Channels

We propose a blind algorithm to determine the order and estimate the coefficients of multiple-input single-output (MISO) communication channels. The proposed order detection method exploits the sensitiveness of a Chi-square test statistic to the non Gaussianity of a stochastic process. Order detection is coupled with channel parameter estimation in a nested-loop operation based on a deflation-type technique using the 4th-order output cumulants. Successively treating shorter and shorter channels, we can also determine the number of sources. Simulation results illustrate the performance of the proposed algorithm.