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Two-Rate Based Low-Complexity Variable Fractional-Delay FIR Filter Structures
Abstract
This paper considers two-rate based structures for variable fractional-delay (VFD) finite-length impulse response (FIR) filters. They are single-rate structures but derived through a two-rate approach. The basic structure considered hitherto utilizes a regular half-band (HB) linear-phase filter and the Farrow structure with linear-phase subfilters. Especially for wide-band specifications, this structure is computationally efficient because most of the overall arithmetic complexity is due to the HB filter which is common to all Farrow-structure subfilters. This paper extends and generalizes existing results. Firstly, frequency-response masking (FRM) HB filters are utilized which offer further complexity reductions. Secondly, both linear-phase and low-delay subfilters are treated and combined which offers trade-offs between the complexity, delay, and magnitude response overshoot which is typical for low-delay filters. Thirdly, the HB filter is replaced by a general filter which enables additional frequency-response constraints in the upper frequency band which normally is treated as a don't-care band. Wide-band design examples (90, 95, and 98% of the Nyquist band) reveal arithmetic complexity savings between some 20 and 85% compared with other structures, including infinite-length impulse response structures. Hence, the VFD filter structures proposed in this paper exhibit the lowest arithmetic complexity among all hitherto published VFD filter structures.
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Metadata
- Authors
- Johansson, H., & Hermanowicz, E.
- Affiliations
- Linköping University (SE)
- Gdańsk University of Technology (PL)
- ORCID
- Johansson, Håkan
- Venue
- IEEE Transactions on Circuits and Systems I: Regular Papers
- Published
- 2013-01
- Volume
- 60
- Issue
- 1
- Pages
- 136-149
- ISSN
- 1549-8328 (ISSN-L)
- 1558-0806
- OpenAlex
- W2068332377
- Cited by
- 25
- References
- 43
- Citations by year
- 2026: 1 · 2024: 2 · 2023: 4 · 2022: 1 · 2020: 1 · 2019: 1 · 2017: 1 · 2016: 1 · 2015: 2 · 2014: 5 · 2013: 6
- FWCI
- 7.18
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- IEEE Transactions on Circuits and Systems I Regular Papers (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
- variable fractional delay filters, half-band filters, Farrow structure, frequency-response masking, arithmetic complexity reduction, linear phase filters
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