Envelope-Constrained Filters, Part I: Theory and Applications

Robin J. Evans, Thomas E. Fortmann, Antonio Cantoni

    Research output: Contribution to journalArticlepeer-review

    60 Citations (Web of Science)


    In the envelope-constrained filtering problem, one attempts to optimize a filter's impulse response subject to the constraint that its response to a specified input lies within a prescribed envelope. This constrained optimization problem is reduced to an unconstrained dual problem with a nondifferentiable cost and then solved using a steepest ascent algorithm based on directional differentials. The resulting technique provides a versatile alternative to the least-squares methods that are commonly applied to such problems. Applications to a wide variety of signal processing problems in areas such as communication channel equalization, television transmission, radar and sonar detection, filter and antenna design, seismology, and ultrasonic imaging are discussed, and some numerical results are presented.

    Original languageEnglish
    Pages (from-to)421-434
    Number of pages14
    JournalIEEE Transactions on Information Theory
    Issue number4
    Publication statusPublished - 1 Jan 1977


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