Block implementation of digital filters

C.S. Burrus · IEEE Transactions on Circuit Theory · 1971

A theory for implementation of recursive digital filters that process signals by blocks is presented. It is shown that this approach provides a very general family of filters that includes both the conventional scalar implementation and batch processing. The approach is based on a matrix representation of convolution and results in a state-variable description with block feedback. An eigenvalue analysis guarantees stability of the realization and indicates a reduction in sensitivity to roundoff and coefficient accuracy.

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