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A normalized digital filter structure
Abstract
A normalized digital filter structure is presented, based upon an orthonormal polynomial expansion. This structure is recursively designed, has several predictable stability properties in the presence of time-varying parameters, and appears to have roundoff noise properties which are superior to other known filter structures, particularly in the presence of clustered poles. Each section of the filter can be precisely implemented by one complex multiply.
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“a ladder structure is a promising candidate for such a highaccuracy structure [20], [21]”
From A Simple Ladder Realization of Maximally Flat Allpass Fractional Delay Filters (2014) · cites this paper as [20]
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Research works printed but not linked: 10
- wiener, 1949, Extrapolation Interpolation and Smoothing of Stationary Time Series, 10.7551/mitpress/2946.001.0001 · DOI
- 10.1007/978-1-4612-5335-8_16 · DOI
- 10.1109/TIT.1974.1055174 · DOI
- robinson, 1967, Statistical Communication and Detection With Special Reference to Digital Data Processing of Radar and Seismic Signals
- robinson, 1967, Multichannel Time-Series Analysis with Digital Computer Programs
- jackson, 1969, An analysis of roundoff noise in digital filters
- itakura, 1971, Digital filtering techniques for speech analysis and synthesis, 6th Int Congr Acoustics
- 10.1007/BF01458220 · DOI
- 10.1109/TASSP.1975.1162724 · DOI
- 10.1109/TAU.1973.1162522 · DOI
Cited by
Sorted by citations
A Simple Ladder Realization of Maximally Flat Allpass Fractional Delay Filters
Koshita, S., Abe, M., & Kawamata, M. (2014) · IEEE Transactions on Circuits and Systems II: Express Briefs · doi:10.1109/tcsii.2013.2296131 · Cited by 5
Metadata
- Authors
- Gray, A., & Markel, J.
- Affiliations
- University of California, Santa Barbara (US)
- Venue
- IEEE Transactions on Acoustics, Speech, and Signal Processing
- Published
- 1975-06
- Volume
- 23
- Issue
- 3
- Pages
- 268-277
- ISSN
- 0096-3518 (ISSN-L)
- OpenAlex
- W2095753402
- Cited by
- 234
- References
- 0
- Citations by year
- 2023: 1 · 2022: 3 · 2021: 2 · 2020: 2 · 2019: 2 · 2018: 3 · 2017: 1 · 2016: 3 · 2015: 2 · 2014: 5 · 2013: 1 · 2012: 2
- FWCI
- 4.81
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- IEEE Transactions 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
- recursive filter design, time-varying parameters, filter stability, roundoff noise
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- CoChat. (2026). Citation check: A normalized digital filter structure. https://app.cochat.ai/papers/10.1109/tassp.1975.1162680
- The paper
- Gray, A., & Markel, J. (1975). A normalized digital filter structure. IEEE Transactions on Acoustics, Speech, and Signal Processing. https://doi.org/10.1109/tassp.1975.1162680