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Orthonormal ladder filters
Abstract
A state-space structure for the realization of arbitrary filter transfer-functions is presented. This structure should prove useful where integrators are the basic building blocks such as in transconductance-C, MOSFET-C, or active-RC filters. The structure is derived from a singly terminated LC ladder and has the characteristics that it is always scaled for optimum dynamic range and its integrator outputs are orthogonal. For this reason, the resulting realizations are called orthonormal ladder filters. Since dynamic range scaling is inherent to the proposed structure, it is felt that this design technique may be most useful in programmable or adaptive filters. The sensitivity and dynamic range properties of an orthonormal ladder filter are shown to be comparable in performance to the equivalent properties obtained from a cascade of biquads.>
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“the same was proven in the field of analog filters [22].”
From A Simple Ladder Realization of Maximally Flat Allpass Fractional Delay Filters (2014) · cites this paper as [22]
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“this orthogonal property leads to the high-accuracy structure and may be also useful in adaptive signal processing.”
From A Simple Ladder Realization of Maximally Flat Allpass Fractional Delay Filters (2014) · cites this paper as [22]
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Research works printed but not linked: 14
- moschytz, 1975, Linear Integrated Networks Design
- schoeffler, 1964, The synthesis of minimum sensitivity networks, IEEE Trans Circuit Theory, ct 11, 271, 10.1109/TCT.1964.1082278 · DOI
- widrow, 1985, Adaptive Signal Processing
- lev-ari, 1987, Continuous-time least-squares fast transversal filters, Proc IEEE Int Conf Acoust Speech and Signal Processing, 415
- franks, 1969, Signal Theory
- brockett, 1970, Finite Dimensional Linear Systems
- 10.1109/TCS.1986.1085910 · DOI
- humpherys, 1970, The Analysis Design and Synthesis of Electrical Filters
- chen, 1984, Linear Systems Theory and Design
- 10.1109/TCS.1987.1086232 · DOI
- 10.1002/j.1538-7305.1970.tb01763.x · DOI
- roberts, 1987, Digital Signal Processing
- 10.1049/el:19660190 · DOI
- sedra, 1978, Filter Theory and Design Active and Passive
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
- Johns, D. A., Snelgrove, W. M., & Sedra, A. S.
- Affiliations
- University of Toronto (CA)
- Venue
- IEEE Transactions on Circuits and Systems
- Published
- 1989-03
- Volume
- 36
- Issue
- 3
- Pages
- 337-343
- ISSN
- 0098-4094 (ISSN-L)
- OpenAlex
- W2130781703
- Cited by
- 75
- References
- 0
- Citations by year
- 2025: 1 · 2020: 2 · 2018: 2 · 2017: 2 · 2015: 1 · 2014: 2 · 2013: 3 · 2012: 2
- FWCI
- 2.12
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- IEEE Transactions on Circuits and Systems (publishedVersion)
- Topics
- Physical Sciences › Engineering › Electrical and Electronic Engineering › Analog and Mixed-Signal Circuit Design
- Physical Sciences › Computer Science › Signal Processing › Digital Filter Design and Implementation
- Physical Sciences › Computer Science › Signal Processing › Advanced Adaptive Filtering Techniques
- Keywords
- MOSFET-C filters, active RC filters, programmable filter, adaptive filtering, sensitivity analysis
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- CoChat. (2026). Citation check: Orthonormal ladder filters. https://app.cochat.ai/papers/10.1109/31.17579
- The paper
- Johns, D. A., Snelgrove, W. M., & Sedra, A. S. (1989). Orthonormal ladder filters. IEEE Transactions on Circuits and Systems. https://doi.org/10.1109/31.17579