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2016•IEICE Electronics ExpressOpen access

CSD-based CORDIC algorithm and its VLSI implementation

Chester S. Park, Sungkyung Park

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Abstract

Canonical signed digit (CSD) encoding is applied to the COordinate Rotation DIgital Computer (CORDIC) algorithm. The closed-form expressions of angle quantization error are obtained and verified with the simulation results, showing that the CSD-based CORDIC algorithm improves the accuracy significantly if the rotation angle is decomposed appropriately. The VLSI implementation results show that the proposed CSD-based CORDIC algorithm remarkably reduces the execution time of the conventional CORDIC algorithm.

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What this paper is about

Canonical signed digit (CSD) encoding is applied to the COordinate Rotation DIgital Computer (CORDIC) algorithm. The closed-form expressions of angle quantization error are obtained and verified with the simulation results, showing that the CSD-based CORDIC algorithm improves the accuracy significantly if the rotation angle is decomposed appropriately. The VLSI implementation results show that the proposed CSD-based CORDIC algorithm remarkably reduces the execution time of the conventional CORDIC algorithm.

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Available abstract

Canonical signed digit (CSD) encoding is applied to the COordinate Rotation DIgital Computer (CORDIC) algorithm. The closed-form expressions of angle quantization error are obtained and verified with the simulation results, showing that the CSD-based CORDIC algorithm improves the accuracy significantly if the rotation angle is decomposed appropriately. The VLSI implementation results show that the proposed CSD-based CORDIC algorithm remarkably reduces the execution time of the conventional CORDIC algorithm.

Key concepts: CORDIC, Very-large-scale integration, Computer science, Quantization (signal processing), Algorithm, Rotation (mathematics), Arithmetic, Parallel computing

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