Cumulant Projection Method for Two-Dimentional Harmonics Frequency Estimation in Colored Non-Gaussian Noise
Zhang Kun-lei①; Wang Shu-xun①; Wang Fei②
①Institution of Communication Engineering, Jilin University, Changchun 130025, China;②College of Information and Science & Technology, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
Abstract：The problem of concern here was the two-dimensional (2-D) harmonic frequency estimation in colored non-Gaussian noise. The 2-D cumulant projection theorem of complex linear non-Gaussian process was presented. The noise auto-correlation estimation was obtained based on this theorem by skillfully constructing a high-order cumulant of the complex noisy harmonic. Then a generalized eigen-value problem was solved to prewhiten the noise space. Finally 2-D MUSIC was employed to retrieve the 2-D harmonic frequencies. This method can effectively extract frequencies from colored non-Gaussian noise, even though the noise is symmetrically-distributed or there exists quadratic phase coupling. Theory and algorithm are illustrated by simulation examples.
2007, Vol. 29 
