Study on Quasi-Synchronous DFT Algorithm

The principle of quasi-synchronous discrete fourier transform (DFT) algorithm was introduced and the simulation on the algorithm was carried out. The quasi-synchronous DFT algorithm is independent of the first sample point and it is able to start sampling at any moment. The maximum relative amplitude error and phase error of the algorithm are 0.05 % and 5.4° when the frequency of the signal is between 49.5 Hz and 50.5 Hz. The accuracy of quasi-synchronous DFT algorithm can be improved by scores of times than that of DFT algorithm.