Harmonik işaretlerin hassas temel frekans kestirimi için düşük işlem yüklü bir yöntem

A computationally efficient method for the fundamental frequency estimation of a group of harmonically related complex sinusoids is given. To this aim, an efficient frequency estimation method for single tone complex sinusoids is adapted to the harmonic frequency estimation problem. The main idea of the suggested Fast Fourier Transform based method is the frequency estimation of individual complex sinusoids after the removal of the interference due to other harmonics. After several iterations of estimation and interference cancellation, the frequency estimates of each harmonic component are fused to obtain the fundamental frequency estimate. In addition to this, the model order selection, that is the estimation of the number of harmonics, is also discussed. The proposed method is applied on the direction of arrival problem for a single far-field source with harmonics. A theoretical study of the suggested scheme and its verification by computer experiments are provided.