{2n + 1, 2n+k, 2n - 1} : a new RNS moduli set extension

The increasing usage of residual number system (RNS) in signal processing applications demands the development of new and more adaptable RNS moduli sets and arithmetic units. This paper presents a new adaptable moduli set extension for the traditional moduli set {2ⁿ + 1, 2ⁿ, 2ⁿ - 1}. As it will be shown, this new moduli set extension ({2ⁿ + 1, 2^n+k, 2ⁿ - 1}) allows the balancing of the binary channel (2^n+k) in relation to the other two channels. Moreover, it does not require the development of new addition and multiplication units, since it is possible to reuse the already developed and well studied units for these moduli operations.