The quantization effects of the CORDIC algorithm |
| |
Authors: | Hu YH |
| |
Affiliation: | Dept. of Electr. & Comput. Eng., Wisconsin Univ., Madison, WI; |
| |
Abstract: | 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 |
| |
Keywords: | |
|
|