Design of optimal minimum-phase digital FIR filters using discrete Hilbert transforms

Design of optimal minimum-phase digital FIR filters using discrete Hilbert transforms

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 f...

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Veröffentlicht in:IEEE transactions on signal processing 2000-05, Vol.48 (5), p.1491-1495
Hauptverfasser: Damera-Venkata, N., Evans, B.L., McCaslin, S.R.
Format: Artikel
Sprache:eng
Schlagworte:
Algorithm design and analysis
Applied sciences
Cepstrum
Delay
Digital filters
Discrete Fourier transforms
Discrete transforms
Exact sciences and technology
Fast Fourier transforms
Finite impulse response filter
Information, signal and communications theory
Polynomials
Signal and communications theory
Signal processing algorithms
Signal, noise
Telecommunications and information theory
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Beschreibung
Zusammenfassung: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.
ISSN:1053-587X
1941-0476
DOI:10.1109/78.840000