Harmonic Analysis Algorithm Based On SVD Filter

Abstract

SVD (singular value decomposition) has been applied to design a FIR bandpass filter for both narrow and steep transitional bands, so as to simplify the complex execution on hardware when the harmonic algorithm that is based on FIR (finite impulse response) digital filter is used. First of all, a conventional method is used to obtain the coefficients of the band-pass filter (prototype), and some of the coefficients are arranged in a matrix. Then, the coefficient matrix is used to calculate SVD, based on which, a low dimensional and approximate expression of the matrix is accordingly obtained. Finally, according to the approximate expression of the matrix, the execution structure of the extrapolation filter is employed to design, approximately, the prototype of the band-pass filter. Simulation results show that the complex hardware execution of the harmonic algorithm can be simplified by using the proposed method to extract and analyze the harmonic waves.