Abstract
The letter 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 must be reformulated and reanalysed for both convergence and stability.
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