AN EFFICIENT METHOD FOR FUNDAMENTAL FREQUENCY ESTIMATION OF PERIODIC SIGNALS WITH HARMONICS

---

Tezin Türü: Yüksek Lisans

Tezin Yürütüldüğü Kurum: Orta Doğu Teknik Üniversitesi, Fen Bilimleri Enstitüsü, Türkiye

Tezin Onay Tarihi: 2020

Tezin Dili: İngilizce

Öğrenci: UTKU ÇELEBİ

Danışman: Çağatay Candan

Özet:

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.