Structurally passive digital filters in residue number systems

The possibility of realizing structural passive digital filters in terms of residue number systems (RNS) is considered. For this purpose, an algorithm is proposed for realizing the RNS rotator, which represents the basic element of these filters. The algorithm is discussed and illustrated in detail in the case of an 8-b dynamic range. The possibility of extending the dynamic range by the Chinese remainder theorem (CRT) is also considered and a simplified reconstruction formula is proposed for reducing the computational cost of the CRT. >