Error analysis of digital filters realized with floating-point arithmetic
- 1 January 1969
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in Proceedings of the IEEE
- Vol. 57 (10), 1735-1747
- https://doi.org/10.1109/proc.1969.7388
Abstract
This paper calculates the error at the output of a digital filter using floating-point arithmetic operations due to roundoff accumulation and input quantization. Expressions are derived for the mean square error for each of the three canonical forms of realization: direct, cascade, and parallel. Upper bounds that are useful for a special class of filters are given. The theoretical result is found to be in good agreement with the experimental result.Keywords
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