The DOI matches its Crossref record; 26 of the 26 references it cites were found in a registry or an index.
Closed-form design of maximally flat FIR Hilbert transformers, differentiators, and fractional delayers by power series expansion
Abstract
In this paper, novel closed-form designs of the FIR Hilbert transformers, maximally flat digital differentiators and fractional delayers are proposed. The transfer functions of these filters are analytically obtained by expanding some suitable functions into power series. Efficient implementations can be derived from the resultant transfer functions. The weighting coefficients and the building blocks of these filters are explicitly expressed in closed form. The proposed filter structures are more robust to the coefficient quantization than the direct form.
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Research works printed but not linked: 1
- Ryzhik, 1994, Table of Integrals, Series, and Products
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Results on Maximally Flat Fractional-Delay Systems
Samadi, S., Ahmad, M. O., & Swamy, M. N. S. (2004) · IEEE Transactions on Circuits and Systems I: Regular Papers · doi:10.1109/tcsi.2004.836848 · Cited by 51
$H^{\infty}$-Optimal Fractional Delay Filters
Nagahara, M., & Yamamoto, Y. (2013) · IEEE Transactions on Signal Processing · doi:10.1109/tsp.2013.2265678 · Cited by 15
“This ideal low-pass filter is however not realizab le because of its non-causality and instability, and hence man y studies have focused their attention on approximating the i deal filter by, for example, windowed sinc functions [15], [16], maximally-flat FIR approximation [17], [18], [19], [20], [2 1], all-pass appro…”
BackgroundClosed-form design of allpass fractional delay filters
Pei, S.-C., & Wang, P.-H. (2002) · IEEE International Conference on Acoustics Speech and Signal Processing · doi:10.1109/icassp.2002.5744913 · Cited by 1
Self-citation
Metadata
- Authors
- Pei, S.-C., & Wang, P.-H.
- Affiliations
- National Taiwan University (TW)
- Venue
- IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications
- Published
- 2001-04
- Volume
- 48
- Issue
- 4
- Pages
- 389-398
- ISSN
- 1057-7122 (ISSN-L)
- OpenAlex
- W2111728852
- Cited by
- 53
- References
- 26
- Citations by year
- 2026: 1 · 2024: 1 · 2023: 2 · 2022: 2 · 2020: 2 · 2019: 2 · 2017: 4 · 2016: 1 · 2015: 1 · 2014: 1 · 2013: 3 · 2012: 4
- FWCI
- 5.40
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- IEEE Transactions on Circuits and Systems I Fundamental Theory and Applications (publishedVersion)
- Topics
- Physical Sciences › Computer Science › Signal Processing › Digital Filter Design and Implementation
- Physical Sciences › Engineering › Electrical and Electronic Engineering › Analog and Mixed-Signal Circuit Design
- Physical Sciences › Computer Science › Signal Processing › Advanced Adaptive Filtering Techniques
- Keywords
- digital differentiator, maximally flat filters, closed-form filter design, power series expansion, filter transfer function
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