A Study on SW Arithmetic and Its Application to Digital Signal Processing

摘要

This paper presents a new number representation called the Signed- Weight (S W) number system, which is useful for designing configurable counter-tree architectures for digital signal processing applications. The SW number system allows the unified manipulation of positional number systems in arithmetic circuits by adjusting the signs assigned to individual digit positions. This makes possible the construction of highly regular arithmetic circuits without introducing irregular arithmetic operations. This paper also presents the design of a Field-Programmable Digital Filter (FPDF) architecture -- a special-purpose FPGA architecture for high-speed FIR filtering -- using the proposed SW arithmetic system.