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
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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Discrete-time Signal Processing
Williamson, D. (1999) · Advanced textbooks in control and signal processing · doi:10.1007/978-1-4471-0541-1 · Cited by 4,927
Splitting the unit delay [FIR/all pass filters design]
Laakso, T. I., Valimaki, V., Karjalainen, M., & Laine, U. K. (1996) · IEEE Signal Processing Magazine · doi:10.1109/79.482137 · Cited by 1,168
Marden, M. (1949) · Mathematical surveys and monographs · doi:10.1090/surv/003 · Cited by 1,077
Digital Filters: Analysis, Design and Applications
Antoniou, A. (1979) · Cited by 536
Recursive digital filters with maximally flat group delay
Thiran, J.-P. (1971) · IEEE Transactions on Circuit Theory · doi:10.1109/tct.1971.1083363 · Cited by 247
Explicity formulas for weighting coefficients of maximally flat tunable FIR delays
Hermanowicz, E. (1992) · Electronics Letters · doi:10.1049/el:19921239 · Cited by 93
A new method for digital all-pass filter design
Jing, Z. (1987) · IEEE Transactions on Acoustics Speech and Signal Processing · doi:10.1109/tassp.1987.1165067 · Cited by 81
On the Eneström-Kakeya theorem and its sharpness
Anderson, N., Saff, E. B., & Varga, R. S. (1979) · Linear Algebra and its Applications · doi:10.1016/0024-3795(79)90113-7 · Cited by 68
Pei, S.-C., & Wang, P.-H. (2001) · IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications · doi:10.1109/81.917976 · Cited by 53
Self-citationEfficient tunable IIR and allpass filter structures
Makundi, M., Laakso, T. I., & Välimäki, V. (2001) · Electronics Letters · doi:10.1049/el:20010276 · Cited by 52
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Research works printed but not linked: 1
- abramowitz, 1972, Handbook of Mathematical Functions— 9th Printing
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Thiran Filters for Wideband DSP-Based Multi-Beam True Time Delay RF Sensing Applications
Perera, S. M., Rathnasekara, G., & Madanayake, A. (2024) · Sensors · doi:10.3390/s24020576 · Cited by 5
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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