Sign-extension and quantization in bit-serial digital filters

A method for handling overflow and quantization in recursive digital filters is described. The method merges the sign-extension required for a serial/parallel multiplier with the required truncation in the bit-serial loops. The method works with maximally fast implementations, i.e., implementations for which the minimum sample period is used as sample period. The method is first described using a first-order recursive filter, and then applied to a third-order bireciprocal lattice wave digital filter