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Journal ArticleDOI

Effect of finite word length on the accuracy of digital filters--a review

B. Liu
- 01 Nov 1971 - 
- Vol. 18, Iss: 6, pp 670-677
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TLDR
The calculation of the statistical mean-squared error at the output of the filter is discussed in detail and some of the approaches used in investigating them are reviewed.
Abstract
The accuracy of a digital filter is limited by the finite word length used in its implementation. Techniques have been developed to analyze this problem. Good agreement between the theoretical and experimental results has been reported. This paper discusses some of these accuracy problems and reviews some of the approaches used in investigating them. The calculation of the statistical mean-squared error at the output of the filter is discussed in detail.

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Citations
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Journal ArticleDOI

Synthesis of minimum roundoff noise fixed point digital filters

TL;DR: In this paper, an external specification of a digital filter is investigated via the internal structure of the filter using a state variable formulation, and conditions for minimizing this output noise are established and realizations which meet these conditions are constructed.
Book

Reconfigurable Computing: The Theory and Practice of FPGA-Based Computation

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TL;DR: This book is intended as an introduction to the entire range of issues important to reconfigurable computing, using FPGAs as the context, or "computing vehicles" to implement this powerful technology.
Journal ArticleDOI

A new hardware realization of digital filters

TL;DR: This approach capitalizes on recent advances in semiconductor memory technology and is shown to offer significant reductions in cost and power consumption for the same speed of operation as that of existing realizations.
Journal ArticleDOI

Acoustic echo control. An application of very-high-order adaptive filters

TL;DR: The application of high-order adaptive filters to the problem of acoustical echo cancellation with particular application to hands free telephone systems is discussed and a means to achieve robust performance is described.
Journal ArticleDOI

Minimum uncorrelated unit noise in state-space digital filtering

TL;DR: For the class of digital filters described by the state equations, new expressions for the roundoff noise and the dynamic-range constraint equation have been established in this article, and a method of realizing the minimum unit noise filter is given, and possible further optimization of the filter is discussed.
References
More filters
Journal ArticleDOI

Spectra of quantized signals

TL;DR: Quantizing of time, or time division, has found application as a means of multiplexing telephone channels and the more familiar word “sampling” will be used here interchangeably with the rather formidable term “quantization of time”.
Proceedings ArticleDOI

High-speed convolution and correlation

TL;DR: A procedure for synthesizing and analyzing Fourier series for discrete periodic complex functions and computation times are proportional to log 2sub 2 as expressed in Eq.
Journal ArticleDOI

On the interaction of roundoff noise and dynamic range in digital filters

TL;DR: The concept of “transpose configurations” is introduced and is found to be quite useful in digital-filter synthesis; for although such configurations have identical transfer functions, their roundoff-noise outputs and dynamic-range limitations can be quite different, in general.
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