Pipelined cordic architecture and its implementation on Simulink
Shalini Rai, C. K. Dwivedi, Rajeev Srivastava
Abstract
Shalini Rai, C. K. Dwivedi, Rajeev Srivastava
Abstract
Coordinate Rotation Digital Computer (CORDIC) algorithm is very useful algorithm for the designing of low cost and efficient VLSI circuit's at large scale. It may be suitable for the generation of trigonometric functions, multiplication of complex numbers, matrix inversion and finding the solution of linear equations. The CORDIC algorithm has also been employed in calculation of sine and cosine values. The sine & cosine values are used in various transform of Digital Signal processing like z transform and in communication system. There are different ways to generate the sin & cosine values. These conventional methods require a huge memory space. A good quantization level is required for large memory. So CORDIC algorithm based sine & cosine waves' generation has been used because its flexibility characteristics and low quantization error. In this paper some pipelined CORDIC structures are presented for generation of sine and cosine values, multiplication, division of two numbers and finding out square root or arctangent values. These structures have been implemented and results observed by using Simulink of MATLAB.
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Coordinate Rotation Digital Computer (CORDIC) algorithm is very useful algorithm for the designing of low cost and efficient VLSI circuit's at large scale. It may be suitable for the generation of trigonometric functions, multiplication of complex numbers, matrix inversion and finding the solution of linear equations. The CORDIC algorithm has also been employed in calculation of sine and cosine values. The sine & cosine values are used in various transform of Digital Signal processing like z transform and in communication system. There are different ways to generate the sin & cosine values. These conventional methods require a huge memory space. A good quantization level is required for large memory. So CORDIC algorithm based sine & cosine waves' generation has been used because its flexibility characteristics and low quantization error. In this paper some pipelined CORDIC structures are presented for generation of sine and cosine values, multiplication, division of two numbers and finding out square root or arctangent values. These structures have been implemented and results observed by using Simulink of MATLAB.
Key concepts: CORDIC, Discrete cosine transform, Trigonometric functions, Sine, Algorithm, Computer science, Digital signal processing, Mathematics