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Mean square convergence of adaptive envelope-constrained filtering

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3 Author(s)
Tseng, Chien Hsun ; Sch. of Eng., Warwick Univ., Coventry, UK ; Kok Lay Teo ; Cantoni, Antonio

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 the 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

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Signal Processing, IEEE Transactions on  (Volume:50 ,  Issue: 6 )