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The stability of the noncanonical least mean square (NCLMS) algorithm is investigated. The NCLMS effectively uses a different step size for each tap coefficient position during adaptation. The classical LMS step size bound cannot be directly applied to the NCLMS. The weight error vector is modelled as a first order difference equation and a stability bound for the NCLMS is derived. Simulation results...
Analyses the use of noncanonical FIR filters, such as the Inmos A100 cascadable signal processing chip, for adaptive signal processing algorithms. The noncanonical structure is functionally equivalent to the noncanonical FIR filter in a fixed-weight system; however, gradient-based adaptive algorithms cannot be exactly implemented using the noncanonical FIR filter, and therefore the classical algorithms...
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