Orthogonal Ramanujan Sums-based Multirate Filter Bank

In this paper, we propose a multirate filter bank, based on Orthogonal Ramanujan Sums (ORS). Dyadic decomposition of signal may not suit always, due to variation in energy distribution in different bands. In a number of applications, for optimum processing, it is required that the given signal is decomposed in non-dyadic bands. Here, we propose a more general ORS-based multirate filter bank which is well suited when decomposition is required at any level q , where 1 ≤ q ≤ n . ORS-based filter bank provides greater flexibility by providing different possibilities for decomposition at each stage. Suitable examples have also been given to support the proposed idea.