Title :
Minimum phase FIR filter design from linear phase systems using root moments
Author :
Stathaki, Tania ; Constantinides, Anthony ; Stathakis, G.
Author_Institution :
Signal Process. & Digital Syst. Section, Imperial Coll. of Sci., Technol. & Med., London, UK
Abstract :
In this contribution we propose a method for a minimum phase finite impulse response (FIR) filter design from a given linear phase FIR function with the same amplitude response. We concentrate on very high degree polynomials for which factorisation procedures for root extraction are unreliable. The approach taken involves using the Cauchy residue theorem applied to the logarithmic derivative of the transfer function. This leads to a set of parameters derivable directly from the polynomial coefficients which facilitate the factorisation problem. The concept is developed in a way that leads naturally to the celebrated Newton identities. In addition to solving the above problem, the results of the proposed design scheme are very encouraging as far as robustness and computational complexity are concerned
Keywords :
FIR filters; computational complexity; digital filters; filtering theory; polynomials; transfer functions; Cauchy residue theorem; FIR filter design; Newton identities; amplitude response; computational complexity; factorisation problem; linear phase systems; logarithmic derivative; minimum phase finite impulse response filter; polynomial coefficients; robustness; root moments; transfer function; very high degree polynomials; Delay; Digital filters; Digital signal processing; Digital systems; Educational institutions; Finite impulse response filter; Nonlinear filters; Polynomials; Signal design; Transfer functions;
Conference_Titel :
Acoustics, Speech and Signal Processing, 1998. Proceedings of the 1998 IEEE International Conference on
Conference_Location :
Seattle, WA
Print_ISBN :
0-7803-4428-6
DOI :
10.1109/ICASSP.1998.681688