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

Gil Amit, Uri Shaked

Research output: Contribution to journalArticlepeer-review

36 Scopus citations


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 languageEnglish
Pages (from-to)880-891
Number of pages12
JournalIEEE Transactions on Acoustics, Speech, and Signal Processing
Issue number6
StatePublished - Jun 1988


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