Envelope-constrained IIR filter design via H∞ optimization methods

Zhuquan Zang, Antonio Cantoni, Kok Lay Teo

    Research output: Contribution to journalArticlepeer-review

    12 Citations (Scopus)


    Previously, the envelope-constrained (EC) filtering problem was formulated as designing an infinite impulse response (IIR) filter such that the filter's l2 norm is minimized, subject to the constraint that its response to a specified input pulse lies within a prescribed envelope. In this paper we recast this filter design problem as a frequency-domain H optimization problem with time-domain constraints. Motivations for solving this problem are given. Then, the recently developed H optimization techniques are used for the design of the required IIR filter. For illustration, we apply the approach to two numerical examples which deal with the design of equalization filters for digital transmission channels.

    Original languageEnglish
    Pages (from-to)649-653
    Number of pages5
    JournalIEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications
    Issue number6
    Publication statusPublished - 1 Jan 1999


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