A novel design methodology for high performance and low power digital filters

Presents novel design methodologies which can be used to dramatically reduce the complexity of parallel implementations of digital FIR filters. These approaches are also applicable to IIR filters. Two ideas are presented. First, we remove the redundant computation by using a graph-theoretic framework in which we find the optimal re-ordering of computations for maximal computation sharing. Second, we present the novel approach of searching for a quantization which improves the computation sharing when the frequency-domain transfer function is allowed to deviate within given bounds. A simple search scheme is presented and it is shown that, by appropriate perturbation of the filter coefficients, one can dramatically reduce the number of adders required in the filter implementation. Using these approaches, on an average, less than one adder per coefficient is required, in contrast to a full-width multiplier. Hence, the presented methodologies are a useful compliment to the existing design approaches of high-performance and low-power digital filters for future mobile computing and communication systems.