Effect of finite word length on the accuracy of digital filters--a review
- 1 November 1971
- journal article
- review article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Circuit Theory
- Vol. 18 (6) , 670-677
- https://doi.org/10.1109/tct.1971.1083365
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.Keywords
This publication has 24 references indexed in Scilit:
- Accumulation of Round-Off Error in Fast Fourier TransformsJournal of the ACM, 1970
- Roundoff-noise analysis for fixed-point digital filters realized in cascade or parallel formIEEE Transactions on Audio and Electroacoustics, 1970
- On the Interaction of Roundoff Noise and Dynamic Range in Digital Filters*Bell System Technical Journal, 1970
- Roundoff noise in floating point fast Fourier transform computationIEEE Transactions on Audio and Electroacoustics, 1969
- A fixed-point fast Fourier transform error analysisIEEE Transactions on Audio and Electroacoustics, 1969
- Fast Fourier transform method of computing difference equations and simulating filtersIEEE Transactions on Audio and Electroacoustics, 1967
- High-speed convolution and correlationPublished by Association for Computing Machinery (ACM) ,1966
- Effects of quantization noise in digital filtersPublished by Association for Computing Machinery (ACM) ,1966
- Effect of a finite-word-length computer in a sampled-data feedback systemProceedings of the Institution of Electrical Engineers, 1965
- On errors introduced by combined sampling and quantizationIRE Transactions on Automatic Control, 1962