Performance analysis of single-multiplier digital sine-cosine generators

Abstract EN

In this paper, second order structures satisfying single-multiplier digital sine-cosine generators are derived analytically, resulting in four different realizations.

Some important characteristics of these generator structures, like total harmonic distortion percentage (THD %), frequency error (f↓error) and frequency resolution (∆f) are defined and examined as performance measures.

The four generator realizations are simulated using Matlab7.0 program.

The simulation results show that better performance (THD % and ∆f are very low or negligible) can be obtained for these realizations by using 32 bits to represent the single-multiplier coefficient and other the outputs of arithmetic operations.

The rounding-off method is applied as a quantization process after multiplication process.

A comparison is made between one of the best-derived structures and other two recent structures implemented in previous researches.

The comparison results indicate that better performance measures can be achieved from the proposed realization for the single-multiplier digital sine-cosine generator.