The DOI matches its Crossref record; 19 of the 19 references it cites were found in a registry or an index.
Reconstruction of nonuniformly sampled bandlimited signals by means of digital fractional delay filters
Abstract
This paper considers the problem of reconstructing a class of nonuniformly sampled bandlimited signals of which a special case occurs in, e.g., time-interleaved analog-to-digital converter (ADC) systems due to time-skew errors. To this end, we propose a synthesis system composed or digital fractional delay filters. The overall system (i.e., nonuniform sampling and the proposed synthesis system) can be viewed as a generalization of time-interleaved ADC systems to which the former reduces as a special case. Compared with existing reconstruction techniques, our method has major advantages from an implementation point of view. To be precise, (1) we can perform the reconstruction as well as desired (in a certain sense) by properly designing the digital fractional delay filters, and (2) if properly implemented, the fractional delay filters need not be redesigned in case the time skews are changed. The price to pay for these attractive features is that we need to use a slight oversampling. It should be stressed, however, that the oversampling factor is less than two as compared with the Nyquist rate. The paper includes error and quantization noise analysis. The former is useful in the analysis of the quantization noise and when designing practical fractional delay filters approximating the ideal filters.
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Cites
Multirate Systems and Filter Banks
Vaidyanathan, P. P. (1992) · CaltechAUTHORS (California Institute of Technology) · Cited by 5,457
The Shannon sampling theorem—Its various extensions and applications: A tutorial review
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Time interleaved converter arrays
Black, W. C., & Hodges, D. A. (1980) · IEEE Journal of Solid-State Circuits · doi:10.1109/jssc.1980.1051512 · Cited by 830
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
Generalized sampling expansion
Papoulis, A. (1977) · IEEE Transactions on Circuits and Systems · doi:10.1109/tcs.1977.1084284 · Cited by 687
On Nonuniform Sampling of Bandwidth-Limited Signals
Yen, J. L. (1956) · IRE Transactions on Circuit Theory · doi:10.1109/tct.1956.1086325 · Cited by 519
Filterbank reconstruction of bandlimited signals from nonuniform and generalized samples
Eldar, Y. C., & Oppenheim, A. V. (2000) · IEEE Transactions on Signal Processing · doi:10.1109/78.869037 · Cited by 202
Jin, H., & Lee, E. K. F. (2000) · IEEE Transactions on Circuits and Systems II Analog and Digital Signal Processing · doi:10.1109/82.850419 · Cited by 170
Minimum rate sampling and reconstruction of signals with arbitrary frequency support
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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
Self-citation$H^{\infty}$-Optimal Fractional Delay Filters
Nagahara, M., & Yamamoto, Y. (2013) · IEEE Transactions on Signal Processing · doi:10.1109/tsp.2013.2265678 · Cited by 15
“Such filters have wide applications in signal processing, in cluding sampling rate conversion [1], [2], [3], nonuniform sampling [4], [5], wavelet transform [6], [7], digital mode ling of musical instruments [8], [9], to name a few.”
BackgroundThiran 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
“The paper [16] addressed the reconstruction techniques for nonuniformly sampled band-limited signals using digital fractional delay filters using a Vandermonde structured matrix followed by a diagonal scaling.”
Method
Metadata
- Authors
- Johansson, H., & Lowenborg, P.
- Affiliations
- Linköping University (SE)
- ORCID
- Johansson, H.
- Venue
- IEEE Transactions on Signal Processing
- Published
- 2002-11
- Volume
- 50
- Issue
- 11
- Pages
- 2757-2767
- ISSN
- 1053-587X (ISSN-L)
- OpenAlex
- W2142874502
- Cited by
- 176
- References
- 19
- Citations by year
- 2026: 2 · 2025: 3 · 2024: 4 · 2023: 3 · 2022: 4 · 2021: 3 · 2020: 1 · 2019: 5 · 2018: 6 · 2017: 6 · 2016: 7 · 2015: 14 · 2014: 7 · 2013: 19 · 2012: 8
- FWCI
- 8.69
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- IEEE Transactions on Signal Processing (publishedVersion)
- Topics
- Physical Sciences › Computer Science › Signal Processing › Digital Filter Design and Implementation
- Physical Sciences › Mathematics › Applied Mathematics › Mathematical Analysis and Transform Methods
- Physical Sciences › Engineering › Electrical and Electronic Engineering › Analog and Mixed-Signal Circuit Design
- Keywords
- non-uniform sampling, band-limited signals, signal reconstruction, time-interleaved ADC, oversampling, quantization noise, reconstruction error analysis
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