HGH-CORDIC: A High-Radix Generalized Hyperbolic COordinate Rotation Digital Computer

In this paper, we propose a high-radix generalized hyperbolic coordinate rotation digital computer (HGH-CORDIC), which not only can compute the logarithmic and exponential functions with any fixed base, but also can reduce the number of iterations compared with the traditional CORDIC. First, we propose the general iteration formulas for HGH-CORDIC. Then we demonstrate its important convergence property and selection criteria, and illustrate them with the most commonly used examples. Through software simulation, we further prove the correctness of the theory. Finally, we analyze how to implement it efficiently in hardware. Compared with the state-of-the-art work, HGH-CORDIC can reduce the number of iterations by more than 50% with the same accuracy.