Global convergence of fractionally spaced Godard equalizers

We present a convergence analysis of blind fractionally spaced equalizers (FSE) utilizing the Godard (1980) algorithm. The FSE can in fact be represented as a special vector equalizer which exploits the spectral diversity (cyclostationarity) of digital channel output and also the spatial diversity (antenna array) when available. It is shown that for channels satisfying a mild length and zero condition, the Godard FSE always converges to a global minimum point. Computer simulation demonstrates the performance improvement by the adaptive Godard FSE.<
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