It is well known that the Residue Number System (RNS) provides an efficient implementation of parallel FIR filters especially when the filter order and the dynamic range are high. The two main drawbacks of RNS, need of converters and coding overhead, make a serialized implementation of the FIR filter potentially disadvantageous with respect to filters implemented in the conventional number systems. In this work, we show a number of solutions which demonstrate that the power efficiency of RNS FIR filters implemented serially is maintained in ASIC technology, while in modern FPGA technology RNS implementations are less efficient.
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