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Canonic realizations of digital filters using the continued fraction expansion
Abstract
Canonic realizations of a digital transfer function using the continued fraction expansion techniques are derived. Realizability conditions of each realization are provided along with illustrative examples.
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The type IB ladder form of [16] corresponds to the transfer function of (13) with γ_k = δ_k = 1 for all k.
“the type IB ladder form of [16] corresponds to the transfer function of (13) with γ k = δ k = 1 for all k”
From A Simple Ladder Realization of Maximally Flat Allpass Fractional Delay Filters (2014) · cites this paper as [16]
A ladder structure for the prototype filter G_p(z) can be easily constructed.
“we can easily construct a ladder structure for the prototype filter G p ( z ) [16].”
From A Simple Ladder Realization of Maximally Flat Allpass Fractional Delay Filters (2014) · cites this paper as [16]
The ladder structure for the prototype filter G_p(z) can be obtained by slightly modifying the type IB ladder form of [16].
“The ladder structure for the prototype filter G p ( z ) can be obtained by slightly modifying the type IB ladder form of [16].”
From A Simple Ladder Realization of Maximally Flat Allpass Fractional Delay Filters (2014) · cites this paper as [16]
Citations
Cites
No references could be resolved yet.
Research works printed but not linked: 5
- wall, 1948, Analytic Theory of Continued Fractions
- avenhaus, 1970, On the approximation problem in the design of digital filters with limited word lengths, Arch Elek Ubertragung, 24, 571
- 10.1002/j.1538-7305.1970.tb01763.x · DOI
- hermann, 1970, On the accuracy problem in the design of nonrecursive dgital filters, Arch Elek Ubertragung, 24, 525
- edwards, 1969, Comparison of noise performances of programming methods in the realization of digital filters, Proc Symp Comput Processing Commun, xix, 295
Cited by
Sorted by citations
Closed-Form Design of Half-Sample Delay IIR Filter Using Continued Fraction Expansion
Tseng, C.-C. (2007) · IEEE Transactions on Circuits and Systems I: Regular Papers · doi:10.1109/tcsi.2006.887643 · Cited by 9
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
- Mitra, S., & Sherwood, R.
- Affiliations
- University of California, Davis (US)
- ORCID
- Mitra, S.
- Venue
- IEEE Transactions on Audio and Electroacoustics
- Published
- 1972-08
- Volume
- 20
- Issue
- 3
- Pages
- 185-194
- ISSN
- 0018-9278 (ISSN-L)
- OpenAlex
- W1999789757
- Cited by
- 49
- References
- 0
- Citations by year
- 2022: 1 · 2018: 1 · 2014: 1
- FWCI
- 9.16
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- IEEE Transactions on Audio and Electroacoustics (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
- digital filters, continued fraction expansion, realizability conditions, filter structure
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