The present invention pertains to a method and system for generating a sinusoidal signal as a combination of independently generated sinusoidal signals. A sinusoidal signal consisting of M data points per cycle is generated as a combination of P independently generated sinusoidal signals each consisting of M/P data points per cycle. Each independently generated sinusoidal signal is offset by P-1 data points and interleaved according to a prescribed sequence to represent the combined sinusoidal signal. The system of the present invention utilizes a processing unit having the capability of performing a single instruction on multiple data (SIMD) thereby executing multiple operations per cycle. This architecture enables each data point of the P independently generated sinusoidal signals to be generated simultaneously thereby decreasing the computational expense required to generate the sinusoidal signal.