An amplitude and phase compensation algorithm based on the best uniform approximation method is proposed. It overcomes the limitations of the traditional CORDIC when used in high-precision calculation of the amplitude and phase

such as too many iterations

long delay time

and slow phase convergence. By utilizing the vector information obtained from several iterations of traditional CORDIC

sectionalized first-order polynomial of best uniform approximation compensating for the amplitude and phase results is constructed

thus efficiently improving the computation accuracy. Simulation and test results show that

by using the proposed

algorithm with 4 iterations of traditional CORDIC

the relative error of amplitude can reach 10

-5

level

and the absolute error of phase can reach 10

-5

degree level. At the same time

the maximum delay time is no more than 100 ns. And with the use of some dedicated multipliers

the registers and LUTs are reduced by 42.5% and 15.5% respectively. Moreover

the phase precision can be increased approximately one order with one more iteration. Hence

compared to conventional CORDIC algorithm

the proposed algorithm improves in iterations and computation precision

and is suitable for high-precision computation applications.