An Analysis of Quantization Error in Digital Filters Based on Interval Algebras

W. K. Jenkins, B. J. Leon

    Research output: Contribution to journalArticlepeer-review

    5 Scopus citations

    Abstract

    Interval algebras are introduced as media in which to simulate digital filters for the purpose of analyzing quantization effects due to finite wordlength. The theory presented forms the basis of a computer-aided analysis scheme which generates confidence interval error bounds on the time domain response of a digital filter. The techniques are applicable to filters of arbitrary order and configuration implemented in either fixed or floating-point arithmetic. Experimental data is presented for a fourth-order low-pass Butterworth filter realized with fixed-point arithmetic in the direct, canonical direct, parallel, cascade, and ladder configurations. An example of Parker and Hess is used to illustrate the bounding limit cycles with interval techniques.

    Original languageEnglish (US)
    Pages (from-to)223-232
    Number of pages10
    JournalIEEE Transactions on Circuits and Systems
    Volume22
    Issue number3
    DOIs
    StatePublished - Mar 1975

    All Science Journal Classification (ASJC) codes

    • Engineering(all)

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