Abstract
The implementation of a FIR filter using a new hybrid RNS-binary arithmetic is presented for the first time. In the new arithmetic, the data samples are represented using RNS, and hence the carry free advantage of RNS computations is retained. However, the computation performed for each modulo is implemented using conventional binary arithmetic elements which overcome the drawback of ROM-based RNS arithmetic elements that become inefficient for large moduli. The conventional binary arithmetic elements are also faster and require less area than existing memoryless RNS arithmetic elements. It is shown that the filter structures based on the new arithmetic have better performance than those based on either the conventional binary or conventional RNS arithmetic for large moduli.
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