Mean Square Convergence of Adaptive Envelope-Constrained Filtering

C.H. Tseng, K.L. Teo, Antonio Cantoni

    Research output: Contribution to journalArticlepeer-review

    4 Citations (Scopus)


    A new type of adaptive filtering scheme for solving an envelope constrained filter design problem in a stochastic environment has been presented. The steady-state stochastic analysis of the adaptive scheme is established in the sense of mean square. It is shown that if a given initial point is in a neighborhood of the origin, the adaptive scheme with a fixed step-size produces a filter that converges in the mean square sense to within an upper boundary of the noise-free optimum filter. Numerical examples involving pulse compression and channel equalization are presented to illustrate the convergence characteristics of the adaptive scheme operating in a stochastic environment.
    Original languageEnglish
    Pages (from-to)1429-1437
    JournalIEEE Transactions on Signal Processing
    Issue number6
    Publication statusPublished - 2002


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