Small Roundoff Noise Realization of Fixed-Point Digital Filters and Controllers

Gil Amit; Uri Shaked

doi:10.1109/29.1599

Small Roundoff Noise Realization of Fixed-Point Digital Filters and Controllers

Gil Amit, Uri Shaked

School of Electrical Engineering

Tel Aviv University

Research output: Contribution to journal › Article › peer-review

36 Scopus citations

Abstract

A new method for finding digital realizations of discretetime transfer functions by fixed-point arithmetic is presented. The obtained realizations attain very small roundoff-noise intensity. This intensity is significantly smaller than the intensities that have been achieved so far. The method applies many 0–1 coefficients in the realization. It therefore requires a small number of multiplications and additions, and it is significantly faster than many other realization methods. A detailed comparison is made between the new method and other existing methods for digital realization. Two different cases are investigated: a Butterworth filtering realization and the realization of an LQG optimal controller. The superiority of the new method over other methods is clearly demonstrated in both cases.

Original language	English
Pages (from-to)	880-891
Number of pages	12
Journal	IEEE Transactions on Acoustics, Speech, and Signal Processing
Volume	36
Issue number	6
DOIs	https://doi.org/10.1109/29.1599
State	Published - Jun 1988

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abstract = "A new method for finding digital realizations of discretetime transfer functions by fixed-point arithmetic is presented. The obtained realizations attain very small roundoff-noise intensity. This intensity is significantly smaller than the intensities that have been achieved so far. The method applies many 0–1 coefficients in the realization. It therefore requires a small number of multiplications and additions, and it is significantly faster than many other realization methods. A detailed comparison is made between the new method and other existing methods for digital realization. Two different cases are investigated: a Butterworth filtering realization and the realization of an LQG optimal controller. The superiority of the new method over other methods is clearly demonstrated in both cases.",

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Small Roundoff Noise Realization of Fixed-Point Digital Filters and Controllers

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