Digital signal processing with digit-serial RNS arithmetic

Although a great deal of attention has been given to residue number system (RNS) arithmetic in the digital-parallel form, little attention has been given to the digit-serial form. The digit serial form results in slower operating speeds, but it also provides many interesting and potentially useful properties due to the nonweighted properties of the RNS code. This paper discusses two particular scenarios where digit-serial RNS arithmetic is useful: (i) in variable word length sum-of-products processing, and (ii) in fault tolerant adaptive digital filtering based on combining digit-serial RNS arithmetic and a block LMS adaptive algorithm