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The quantization effects of the CORDIC algorithm

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1 Author(s)
Y. H. Hu ; Dept. of Electr. & Comput. Eng., Wisconsin Univ., Madison, WI, USA

A detailed analysis of the quantization error encountered in the CORDIC (coordinate rotation digital computer) algorithm is presented. Two types of quantization error are examined: an approximation error due to the quantized representation of rotation angles, and a rounding error due to the finite precision representation in both fixed-point and floating-point arithmetic. Tight error bounds for these two types of error are derived. The rounding error due to a scaling (normalization) operation in the CORDIC algorithm is also discussed. An expression for overall quantization error is derived, and several simulation examples are presented

Published in:

IEEE Transactions on Signal Processing  (Volume:40 ,  Issue: 4 )