원문정보
초록
영어
In this paper, rotation-extension CORDIC methods, i.e. double-rotation and triple- rotation, are proposed for the objective of improving the performance and accuracy of the CORDIC computational algorithm in radix-2. In the double-rotation and triple-rotation methods, the convergences of the CORDIC computations are accelerated by duplicating and triplicating the micro-rotation angles to be 2and 3, respectively. The non-redundant mechanism, where a rotation direction is in a set of 1 and -1, depending on an intermedi- ate converging parameter (either y or z), is applied to constant scaling factors. Convergence range and accuracy of elementary functions hardware performed by using the CORDIC methods in rotation mode and vectoring mode on the circular, hyperbolic, and linear co- ordinate systems are examined, investigated and compared to Matlab/Simulink simulation results. The comparison results show that the proposed CORDIC methods provide higher computational accuracy than the conventional one at the same number of iterations. A high precision CORDIC algorithm is introduced and evaluated for VLSI implementation. Finally, speed and area performance of the CORDIC hardware based on the pipeline (un- folded) digit-parallel architecture of the proposed CORDIC methods are compared to the CORDIC methods previously published in the literature.
목차
1. Introduction
2. Related Works
2.1. High Radix CORDIC method
2.2. Parallel CORDIC rotation method
2.3. Redundant Number Representation Method
2.4. Rotation Extension Method
3. Contribution
4. Rotation-Extension CORDIC Algorithm
4.1. Conventional CORDIC
4.2. Double-Rotation CORDIC
4.3. Triple-Rotation CORDIC
4.4. Accuracy Evaluation
4.5. Convergence & Accuracy Trade-Off
5. Unifed CORDIC Algorithm
6. Algorithm and Investigation of a high precision CORDIC Core
6.1. Algorithm
6.2. Computational Time Investigation
6.3. Performance Comparison
7. Conclusion
References