A new improved algorithm applicated in NCO based on specific angle

Considering the characteristics of the angles, used in the new improved algorithm is the formula of sine and cosine values which compose the discrete-sine and cosine wave. In this algorithm, the theory of setting Renminbi notes is first used to select the basic angle sequence and the symmetry of trigonometric function, and then to calculate the sine and cosine values of the basic angle, which is expressed as 2kπ/2^N. Simulation proves that the precision can reach 10̂-6 under 5 iterations. Compared with other algorithms, the computational complexity of the algorithm is simple, and the precision is higher. Therefore, the algorithm is feasible for the NCO.