Title :
Design of optimal minimum-phase digital FIR filters using discrete Hilbert transforms
Author :
Damera-Venkata, Niranjan ; Evans, Brian L. ; McCaslin, Shawn R.
Author_Institution :
Dept. of Electr. & Comput. Eng., Texas Univ., Austin, TX, USA
fDate :
5/1/2000 12:00:00 AM
Abstract :
We present a robust noniterative algorithm to design optimal minimum-phase digital FIR filters with real or complex coefficients. We derive: (1) the discrete Hilbert transform (DHT) of the complex cepstrum of a causal complex minimum-phase sequence and (2) the minimum fast Fourier transform length for computing the DHT to achieve a desired coefficient accuracy
Keywords :
FIR filters; Hilbert transforms; cepstral analysis; circuit optimisation; digital filters; discrete transforms; fast Fourier transforms; network synthesis; sequences; DHT; causal complex minimum-phase sequence; coefficient accuracy; complex cepstrum; complex coefficients; discrete Hilbert transforms; minimum fast Fourier transform length; optimal minimum-phase digital FIR filters design; real coefficients; robust noniterative algorithm; Algorithm design and analysis; Cepstrum; Delay; Digital filters; Discrete Fourier transforms; Discrete transforms; Fast Fourier transforms; Finite impulse response filter; Polynomials; Signal processing algorithms;
Journal_Title :
Signal Processing, IEEE Transactions on
