CORDIC Circuits

This chapter discusses the principles of COordinate Rotation DIgital Computer (CORDIC) operation, covering the elementary ideas from coordinate transformation to rotation mode and vectoring mode operations followed by design of the basic CORDIC cell and multidimensional CORDIC. The key concept of CORDIC arithmetic is based on the simple and ancient principles of two‐dimensional geometry. Not only a wide variety of applications of CORDIC have emerged over the years but also a lot of progress has been made in the area of algorithm design and development of architectures for high‐performance and low‐cost hardware solutions of those applications. The chapter also discusses the key developments in CORDIC algorithms and architectures, which covers the algorithms and architectures pertaining to high‐radix CORDIC, angle recording, coarse‐fine hybrid microrotations, redundant number representation, differential CORDIC, and pipeline implementation. It further discusses the scaling and accuracy aspects including the scaling techniques, scaling‐free CORDIC, quantization, and area‐delay‐accuracy trade‐off.