A method for parameters estimation of multiple sinusoids signal based on ANFs and SGA

An iterative algorithm based on Adaptive notch filters (ANFs) and Sliding Goertzel algorithm (SGA) for the parameters, i.e. amplitudes, phases and frequencies, estimation of multiple sinusoids signal buried in noise especially in colored noise is proposed in this paper. Firstly, it uses ANFs to accurately estimate frequencies of sinusoids signal at every sample point. Secondly, the SGA computes Fourier coefficients for each sinusoid at the estimated frequencies. Thirdly, the parameters of multiple sinusoids are obtained. This approach is really different from other discrete spectrum correction methods that use DFT off-line to get the parameters estimation values for multiple sinusoids and the proposed visual method is on-line and provides a effectively, accurately and significant computational advantage. Extensive simulation tests have also been performed to verify the effectiveness of the ANFs and SGA based algorithm.