Efficient Recursive Digital Filter Realization
M. H. Etzel, W.K. Jenkins · 1982
The design of residue number system recursive digital filters requires scaling to prevent overflow, This paper presents special residue classes in which scaling is a simple operation that can be easily mecha- nized. This hierarchy of useful residue classes is described, and quan- tization error due to residue scaling is analyzed in each class. Computer simulations of a recursive Chebyshev band reject filter are included to illustrate filter performance in these RNS classes.