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Finite impulse response (FIR) filters implemented in binary weighted number system suffer from the carry propagation delay. To accelerate the FIR filtering process, a design method is proposed on the basis of residue number system (RNS), which has been considered as an important methodology of high-speed computation. The arithmetic operations are decomposed into a set of small modular operations, which can be performed by several sub-filters in parallel. At the end of filtering, the residue signals are converted to conventional binary notation via Chinese remainder theorem. The performance of the presented RNS FIR filter is evaluated by computer simulation. The results show that frequency specifications are satisfied and the time delay of arithmetic operations is substantially shortened.

The Application of Residue Number System to the Design of High-Speed FIR Filters