Research on the Weak Signal Detection Based on Adaptive Filtering of Wavelet Transform

Abstract

When the weak signal is interfered by wide bandwidth noise in the practical engineering, it is difficult to set the parameter of the traditional adaptive filtering algorithm. This paper proposes the adaptive filtering algorithm of wavelet transform. This algorithm is based on signal and noise which have different characteristics by wavelet transform at different scales. The weak signal with noise is decomposed by wavelet multi-scale, then the different filter parameters were selected for the multi-scale signals, and the signals were processed by adaptive filter, and finally the filter filtered out the noise in order to detect the weak signal. The traditional adaptive algorithm and adaptive filtering algorithm of wavelet transform were compared and simulated using the MATLAB software, the results show that: adaptive filtering algorithm of wavelet transform for weak signal detection method can more effectively detect weak signal from containing the noise signal than the traditional adaptive filtering algorithm.