Hardware implementation of programmable coefficients recursive digital filter

A hardware structure for the realization of a recursive digital filter transfer function is presented. This structure can be directly programmed with the filter coefficients and is, therefore, useful in adaptive filtering. The structure has a dynamic range of 8 bits with an internal arithmetic of 12 bits. The hardware complexity of the structure is minimized by employing fixed-point arithmetic in twos-complement notation, mixed processing (parallel and serial) and multiplication tables stored in ROM arrays.