This paper presents development of a complex number arithmetic unit (CAU), based on the single-component representation of complex numbers by positional binary codes with complex radix. Algorithms of the basic arithmetic operations in this representation are described and analyzed. The results of CAU design, simulation and synthesis and comparison of CAU characteristics to those of traditional
... [Show full abstract] arithmetic units (TAU) are presented. It is shown that implementation of CAU algorithms in math processors achieves significant (5-10 times) speed-up of complex number processing over TAU equivalents.