Journal ArticleDOI
A comparison of cascade and wave fixed-point digital-filter structures
Andreas Antoniou,M.G. Rezk +1 more
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TLDR
In this paper, three classes of digital-filter structures, namely two classes of cascade structures and one class of wave structures, are compared with regards to the number of arithmetic operations, the inherent speed capability, the output noise due to product quantization, and the sensitivity to multiplier-coefficient quantization.Abstract:
Three classes of digital-filter structures, namely two classes of cascade structures and one class of wave structures, are compared with regards to the number of arithmetic operations, the inherent speed capability, the output noise due to product quantization, and the sensitivity to multiplier-coefficient quantization Four types of filters are considered, namely a Butterworth low-pass filter, a Chebyshev high-pass filter, an elliptic bandstop filter, and an elliptic band-pass filter The arithmetic is assumed to be of the fixed-point type, numbers are assumed to be in two's complement representation, and number quantization is assumed to be by roundingread more
Citations
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Journal ArticleDOI
Wave digital filters: Theory and practice
TL;DR: Wave digital filters (WDFs) as discussed by the authors are modeled after classical filters, preferably in lattice or ladder configurations or generalizations thereof, and have very good properties concerning coefficient accuracy requirements, dynamic range, and especially all aspects of stability under finite-arithmetic conditions.
Finite wordlength effects in digital filters : a review
TL;DR: A review of recent work on quantization and overflow effects in digital filters is presented in this article, where modern stabilization methods and noise optimization strategies are discussed and a comprehensive bibliographY contains the relevant original contributions dealing with the analysis of various finite wordlength effects and measures to reduce or avoid them.
Journal ArticleDOI
Very low sensitivity realization of IIR digital filters using a cascade of complex all-pass structures
TL;DR: In this paper, a cascade of complex all-pass structures is proposed to realize recursive digital filters, which can exactly realize any elliptic transfer function, and it is easy to derive the multiplier coefficients associated with this structure from the original transfer function expression.
Journal ArticleDOI
Low-sensitivity digital-filter structures which are amenable to error-spectrum shaping
TL;DR: In this article, a systematic and exhaustive procedure is used to generate a class of new low-sensitivity second-order digital-filter structures which are amenable to error-spectrum shaping (ESS).
Finite wordlength in digital filters: A review
TL;DR: A review is presented of recent work on quantization and overflow effects in digital filters, which include parasitic oscillations and quantization noise, and the relevant original contributions dealing with the analysis of various finite wordlength effects.
References
More filters
Book
Theory and application of digital signal processing
TL;DR: Feyman and Wing as discussed by the authors introduced the simplicity of the invariant imbedding method to tackle various problems of interest to engineers, physicists, applied mathematicians, and numerical analysts.
Journal ArticleDOI
Roundoff-noise analysis for fixed-point digital filters realized in cascade or parallel form
TL;DR: In this article, the roundoff-noise outputs from two transpose configurations, each for the cascade and parallel forms of a digital filter, are analyzed for the case of uncorrelated roundoff noise and fixed dynamic range.
Journal ArticleDOI
Analysis of linear digital networks
R.E. Crochiere,Alan V. Oppenheim +1 more
TL;DR: A framework is presented for the analysis, representation, and evaluation of digital filter structures Based on the notation of linear signal-flow graphs and their equivalent matrix representation, a set of general linear digital network properties are reviewed, including precedence relations computability, Tellegen's theorem, interreciprocity, and network transposition.
Journal ArticleDOI
Low-sensitivity digital ladder filters
TL;DR: In this paper, a class of low-sensitivity digital ladder filters may be realized in the voltage-current domain by direct analogy with the continuous resistively terminated LC ladder filter by using transformations that correspond to LC elements that exhibit finite Cube factors.
Journal ArticleDOI
On adaptors for wave digital filters
Alfred Fettweis,K. Meerkotter +1 more
TL;DR: In this article, the adders and multipliers of a wave digital filter can be grouped into n-port building blocks called adaptors, and various aspects concerning the realization of adaptors are discussed.
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