Adaptive systems with coefficients indicating frequency

The theory and performance of adaptive filters and predictors with coefficients that indicate frequency content is examined. The first structure considered is a parallel bank of IIR bandpass filters and the second is a frequency sampling filter. The error surfaces for both systems are derived for the cases of filtering and prediction. The frequency interpretation of the results is straightforward for the case of filtering and more complicated, but still useful, for the case of prediction. The theory is supported by adaptive implementations