Considering the characteristic of the angles, the sine and cosine values of which compose the discrete- sine and cosine wave, the new improved algorithm is presented. In the algorithm, the theory of setting Renminbi notes is used to selecting the basic angle sequence and the symmetry of trigonometric function is used to compute the sine and cosine values of the basic angle expressed as 2k?. Simulation results prove that the precision may reach 10^-6 under 5 iterations. Compared with other algorithms, The computational complexity of the algorithm is simple, the precise is higher. Therefore the algorithm is feasible for the NCO.

New Improved Algorithm of Sine and Cosine Value of 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/2N. Simulation proves that the precision can reach 10⁁−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.

A new improved algorithm applicated in NCO based on specific angle

A modified CORDIC algorithm is presented,based on computing the trigonometric function of specific angle,which can be expressed as 2 kπ/ 2 N and used in FFT,upconvert/downconvert and DDSSimulation results show that the storage unit can be saved and computation efficiency can be increased by about 50% compared with the traditional CORDIC algorithmTherefore the algorithm is feasible and available

Fast Algorithm of Trigonometric Function Computation of Specific Angle

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Fast Algorithm of Trigonometric Function Computation of Specific Angle