Stability of decision feedback inverses

Antonio Cantoni, Paul Butler

    Research output: Contribution to journalArticlepeer-review

    22 Citations (Web of Science)


    The method of inversion of linear discrete time systems utilizing quantized feedback is examined, and a stability concept is developed. The application in mind is decision feedback equalization (DFE). Sets of necessary conditions and sufficient conditions for stability are derived. A lower bound for the probability of recovery from error, and an upper bound for the mean recovery time are obtained. It is suggested that a stability index for each system could be defined. The bounds derived do not depend on the nature of the noise or the channeli mpulse response except through its length.

    Original languageEnglish
    Pages (from-to)970-977
    Number of pages8
    JournalIEEE Transactions on Communications
    Issue number9
    Publication statusPublished - 1 Jan 1976


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