Signal waveform reconstruction from noisy bispectrum estimations pre-processed by vector filters

The reconstruction of 1-D signal waveform from noisy bispectrum estimations in case of a limited ensemble realization number and low input SNRs leads to considerable output errors. In order to improve the signal bispectrum estimations we propose to smooth the obtained bispectrum estimations. The methods based on vector filter application to 2-D complex valued bispectrum processing are considered in this paper. The influence of input SNR, the filter type and the used norm selection on signal reconstruction system performance is analyzed using computer simulations. It is shown that the proposed methods decreases both fluctuation error and bias of reconstructed signal.