New Adder-Based RNS-to-Binary Converters for the {2n+1+1,2n+1-1,2n} Moduli Set

الملخص EN

We investigate Residue Number System (RNS) to binary conversion, which is an important issue concerning the utilization of RNS numbers in Digital Signal Processing (DSP) applications.

We propose two new reverse converters for the moduli set {2n+1+1,2n+1-1,2n}.

First, we simplify the Chinese Remainder Theorem (CRT) to obtain a reverse converter that uses mod-(2n+1-1) operations instead of mod-(2n+1+1)(2n+1-1) operations required by other state-of-the-art equivalent converters.

Next, we further reduce the hardware complexity by making the resulting reverse converter architecture adder based.

Two hybrid Cost-Efficient (CE) and Speed-Efficient (SE) reverse converters are proposed.

These two hybrid converters are obtained by combining the best state-of-the-art converter with the newly introduced area-delay efficient scheme.

The proposed hybrid CE converter outperforms the best state-of-the-art CE converter in terms of delay with similar area cost.

Additionally, the proposed hybrid SE converter requires less area cost with smaller delay when compared to the best state-of-the-art equivalent SE converter.