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Journal ArticleDOI

Universal digital biquads which are free of limit cycles

Chikkannan Eswaran, +2 more
- 01 Oct 1987 - 
- Vol. 34, Iss: 10, pp 1243-1248
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TLDR
Two second-order, multiple-output digital-filter structures are described which realize simultaneously a low-pass, a high-passadays, a band pass, a notch, and an all-pass transfer function.
Abstract
Two second-order, multiple-output digital-filter structures are described which realize simultaneously a low-pass, a high-pass, a bandpass, a notch, and an all-pass transfer function. The two structures can be stabilized with respect to limit-cycle oscillations by employing the techniques of magnitude truncation and controlled rounding, and each uses four multipliers and two unit delays. The two structures are attractive for VLSI implementation since each can serve as the basis of a versatile, universal digital-filter chip which can be used for the implementation of Butterworth, Chebyshev, and elliptic digital filters and also for the design of digital equalizers.

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Citations
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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.

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.

Suppression of parasitic oscillations due to overflow and quantization in recursive digital filters

TL;DR: A submitted manuscript is the author's version of the article upon submission and before peer-review as discussed by the authors, and the final published version features the final layout of the paper including the volume, issue and page numbers.

Limit Cycles in Single-Quantizer Recursive Filter Structures

TL;DR: In this article, a general criterion for the absence of zero-input limit cycles in digital filter structures that can be implemented with a single quan- tizer in the recursive loop is presented.
Journal ArticleDOI

Elimination of zero-input and constant-input limit cycles in single-quantizer recursive filter structures

TL;DR: It is shown that certain structures are always free from all zero-input and constant-input limit cycles when magnitude truncation is used for quantization, and the single-quantizer structures can always be provided with appropriate error feedback, resulting in excellent overall performance.
References
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Journal ArticleDOI

Digital filters with true ladder configuration

TL;DR: In this paper, it was shown that any LC-ladder filter can be translated into a corresponding digital structure requiring only as many multipliers as corresponds to the number of degrees of freedom in the original LC-filter.
Journal ArticleDOI

A general second-order digital filter with controlled rounding to exclude limit cycles for constant input signals

TL;DR: In this article, a new general second-order digital filter section is proposed and two quantizers used in the filter apply controlled rounding which has the effect that limit cycles are completely eliminated under constant-input conditions.
Journal ArticleDOI

A systematic approach to synthesis of limit cycle-free digital filters

TL;DR: In this paper, a systematic approach to synthesis of limit cycle-free digital filters under constant input conditions is proposed, which can suppress limit cycles for constant input signals, and is easily led from structures of limit-cycle-free filters under zero input conditions.
Journal ArticleDOI

Wave digital biquads derived from RC-active configurations

TL;DR: The structures based on the summing four-amplifier biquad embody the simultaneous realization of a variety of filter transfer functions, namely, a low-pass, a bandpass, and a general biquadratic transfer function.
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