The DOI matches its Crossref record; 21 of the 21 references it cites were found in a registry or an index.
An efficient design of a variable fractional delay filter using a first-order differentiator
Abstract
In this paper, the Taylor series expansion is used to transform the design problem of a fractional delay filter into the one of a first-order differentiator such that the conventional finite-impulse response and infinite-impulse response differentiators can be applied to design a fractional delay filter directly. The proposed structure is more efficient than the well-known Farrow structure in terms of filter coefficient storage because only one first-order differentiator needs to be designed and implemented. Moreover, one design example is demonstrated to illustrate the effectiveness of this new design approach.
Overview
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
There is a lack of computationally efficient algorithms in the literature, despite the fact that the methods for designing Thiran fractional delay filters have been established.
“However, there is a lack of computationally efficient algorithms in the literature, despite the fact that the methods for designing Thiran fractional delay filters have been established.”
From Thiran Filters for Wideband DSP-Based Multi-Beam True Time Delay RF Sensing Applications (2024) · cites this paper as [14]
Citations
Cites
Berenguer Sau, J., & Mateu Mateu, J. (1999) · Sensor Review · doi:10.1108/sr.1999.08719bae.001 · Cited by 6,071
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
A continuously variable digital delay element
Farrow, C. W. (2003) · 1988., IEEE International Symposium on Circuits and Systems · doi:10.1109/iscas.1988.15483 · Cited by 816
Chebyshev Approximation for Nonrecursive Digital Filters with Linear Phase
Parks, T. W., & McClellan, J. H. (1972) · IEEE Transactions on Circuit Theory · doi:10.1109/tct.1972.1083419 · Cited by 775
Splitting the Unit Delay - Tools for fractional delay filter design
Laakso, T. I., Välimäki, V., Karjalainen, M., et al. (1996) · IEEE Signal Processing Magazine · Cited by 534
Digital Low-Pass Differentiation for Biological Signal Processing
Usui, S., & Amidror, I. (1982) · IEEE Transactions on Biomedical Engineering · doi:10.1109/tbme.1982.324861 · Cited by 220
Discretization-free design of variable fractional-delay FIR digital filters
Deng, T. (2001) · IEEE Transactions on Circuits and Systems II Analog and Digital Signal Processing · doi:10.1109/82.943337 · Cited by 211
Principles of fractional delay filters
Välimäki, V., & Laakso, T. I. (2002) · IEEE International Conference on Acoustics Speech and Signal Processing · doi:10.1109/icassp.2000.860248 · Cited by 168
An improved weighted least-squares design for variable fractional delay FIR filters
Lu, W.-S., & Deng, T. (1999) · IEEE Transactions on Circuits and Systems II Analog and Digital Signal Processing · doi:10.1109/82.782046 · Cited by 135
Eigenfilter design of higher-order digital differentiators
Pei, S., & Shyu, J.-J. (1989) · IEEE Transactions on Acoustics Speech and Signal Processing · doi:10.1109/29.17531 · Cited by 106
Self-citationA comb filter design using fractional-sample delay
Pei, S., & Tseng, C. (1998) · IEEE Transactions on Circuits and Systems II Analog and Digital Signal Processing · doi:10.1109/82.673650 · Cited by 101
Self-citationSunder, S., & Ramachandran, V. (1994) · IEEE Transactions on Signal Processing · doi:10.1109/78.317874 · Cited by 89
An efficient algorithm for sample rate conversion from CD to DAT
Rajamani, K., Lai, Y.-S., & Furrow, C. W. (2000) · IEEE Signal Processing Letters · doi:10.1109/97.870683 · Cited by 80
WLS design of variable frequency response FIR filters
Tarczynski, A., Cain, G. D., Hermanowicz, E., & Rojewski, M. (2002) · IEEE International Symposium on Circuits and Systems proceedings · doi:10.1109/iscas.1997.612768 · Cited by 66
Design and properties of polynomial-based fractional delay filters
Vesma, J., & Saramäki, T. (2000) · IEEE International Symposium on Circuits and Systems proceedings · doi:10.1109/iscas.2000.857037 · Cited by 44
Design of variable fractional delay FIR filter using differentiator bank
Tseng, C. (2003) · IEEE International Symposium on Circuits and Systems proceedings · doi:10.1109/iscas.2002.1010481 · Cited by 37
Self-citationStable IIR digital differentiator design using iterative quadratic programming approach
Tseng, C. (2000) · Signal Processing · doi:10.1016/s0165-1684(99)00167-x · Cited by 33
Self-citationCompact formulas for least-squares design of digitaldifferentiators
Mollova, G. S. (1999) · Electronics Letters · doi:10.1049/el:19991183 · Cited by 31
Discretization-free design of variable fractional-delay FIR filters
Deng, T. (2002) · doi:10.1109/iscas.2001.921148 · Cited by 28
Harris, F. (2002) · Asilomar Conference on Signals, Systems and Computers (ACSSC) · doi:10.1109/acssc.1997.679201 · Cited by 13
Time domain interpolation using differentiators
Sudhakar, R., Agarwal, R. K., & Roy, S. D. (1982) · IEEE Transactions on Acoustics Speech and Signal Processing · doi:10.1109/tassp.1982.1163991 · Cited by 12
Flagged first, then by citations
Cited by
Sorted by citations
Two-Rate Based Low-Complexity Variable Fractional-Delay FIR Filter Structures
Johansson, H., & Hermanowicz, E. (2013) · IEEE Transactions on Circuits and Systems I: Regular Papers · doi:10.1109/tcsi.2012.2215697 · Cited by 25
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
“In designing fractional delay filters, the paper [14] addressed the utilization of Taylor series expansions of e − j ωτ when τ represents a combination of integer delay and a fractional delay within the interval of [ − 0.5, 0.5].”
MethodInfluential
Metadata
- Authors
- Pei, S.-C., & Tseng, C.-C.
- Affiliations
- National Taiwan University (TW)
- National Kaohsiung First University of Science and Technology (TW)
- Venue
- IEEE Signal Processing Letters
- Published
- 2003-10
- Volume
- 10
- Issue
- 10
- Pages
- 307-310
- ISSN
- 1070-9908 (ISSN-L)
- 1558-2361
- OpenAlex
- W2126522022
- Cited by
- 37
- References
- 21
- Citations by year
- 2024: 1 · 2023: 1 · 2021: 1 · 2020: 1 · 2018: 1 · 2017: 1 · 2016: 1 · 2015: 2 · 2014: 2 · 2013: 2 · 2012: 1
- FWCI
- 3.45
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- IEEE Signal Processing Letters (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
- variable fractional delay filters, Taylor series expansion, Farrow structure, digital filter design
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
