Cited by 1Digital Filter Design and ImplementationAdvanced Adaptive Filtering TechniquesAnalog and Mixed-Signal Circuit Design

The DOI matches its Crossref record; 10 of the 10 references it cites were found in a registry or an index.

Closed-form design of allpass fractional delay filters

Pei, Soo-Chang, Wang, Peng-Hua·2002·IEEE International Conference on Acoustics Speech and Signal Processing

Abstract

In this paper, we propose a novel allpass (AP) fractional delay (FD) filter whose denominator polynomial is obtained by truncating the power series of a certain function. This function is derived from the frequency response of the denominator whose magnitude response is related to the desired. phase response through the Hilbert transform since the denominator of a stable AP filter is of minimum phase. The target function and corresponding power series are calculated. analytically and expressed in closed form. The closed-form expressions facilitate the analysis of stability. According to the properties for the coefficients of the denominator polynomial, we show that the proposed AP filter is stable for positive delay. Numerical examples indicate that the phase delays of the proposed filters are flat around ω = 0.

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Registry

Crossref · 10.1109/icassp.2002.5744913

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  1. abramowitz, 1972, Handbook of Mathematical Functions&#x2014 9th Printing

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Metadata

Authors
Pei, S.-C., & Wang, P.-H.
Affiliations
National Taiwan University (TW)
Venue
IEEE International Conference on Acoustics Speech and Signal Processing
Publisher
IEEE
Published
2002-05
Volume
assp 35
Pages
II-1561-II-1564
ISSN
1520-6149 (ISSN-L)
OpenAlex
W2002892812
Cited by
1
References
10
Citations by year
2024: 1
FWCI
0.00
Type
conference paper
Language
en
Open access
closed
Locations
IEEE International Conference on Acoustics Speech and Signal Processing (publishedVersion)
Topics
  • Physical Sciences › Computer Science › Signal Processing › Digital Filter Design and Implementation
  • Physical Sciences › Computer Science › Signal Processing › Advanced Adaptive Filtering Techniques
  • Physical Sciences › Engineering › Electrical and Electronic Engineering › Analog and Mixed-Signal Circuit Design
Keywords
all-pass filter, fractional delay filter, closed-form design, Hilbert transform, minimum phase, filter stability, phase lag

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