CORDIC Processors: A Comparative Perspective of Radix-8, Radix-4, and Radix-2

Abstract

Some data streaming applications make use of digital signal processing (DSP). The DSP algorithms include transcendental functions like trigonometry, inverse trigonometry, logarithms, exponentials, and other functions in addition to the basic arithmetic operations of multiplication and division. By modifying a few simple parameters, it is relatively simple to generate a large range of functions, including logarithmic, exponential, and trigonometric ones. Since the CPU needs around n rounds to process n bits of incoming data, the CORDIC radix-2 causes a substantial amount of latency. Therefore, radix-4 (which is radix-4 plus one) and radix-8 (which is radix-8 plus one) may be used to reduce the amount of time needed for the calculation. As a result, the total iterations drop from n/2 to n/4. As simulated and synthesized, it was shown that the radix-8 design had a significantly higher power consumption, with greater throughput than the radix-2 and radix-4 Coordinate Rotational Digital Computer (CORDIC) designs with an additional area overhead. The new algorithm also reduces the amount of twiddle elements to a minimum while also simplifying the address generating process. A novel approach makes integrating FFT processors on single chips much easier. This approach is demonstrated to be notably efficient in procedures such as SVD or matrix triangularization, in which the calculation of the rotation angle is necessary.