Title :
Adaptive instantaneous frequency estimation of sinusoidal signals using numerical differentiation
Author :
Jiekang, Wu ; Jun, Long ; Jixiang, Wang ; Ying, Liang
Author_Institution :
Dept. of Electr. Eng., Guangxi Univ., Nanning, China
Abstract :
An algorithm for instantaneous estimation of sinusoidal signals basing on numerical differentiation is presented in this paper. With all parameters unknown, the signal is sampled at a fixed frequency, and central Lagrange interpolation of multi-points is employed for computation. The proposed algorithm is adaptive to any sinusoidal signal with its frequency varying from 1 Hz to 4 kHz, its amplitude varying from 0.1 V to 100 V, and its phase varying from 0 to 360. The proposed algorithm for frequency estimation needs in most 1 cycle, with an accuracy of more than 0.001%. An example for test study is simulated in Matlab software with satisfactory results.
Keywords :
adaptive estimation; differential equations; frequency estimation; interpolation; signal sampling; 0.1 to 100 V; 1 Hz to 4 kHz; Lagrange interpolation; Matlab software; adaptive instantaneous frequency estimation; sinusoidal signals; Computer science; Fourier transforms; Frequency estimation; Frequency measurement; Instruments; Interpolation; Lagrangian functions; Least squares approximation; Software algorithms; Software testing;
Conference_Titel :
Industrial Technology, 2003 IEEE International Conference on
Print_ISBN :
0-7803-7852-0
DOI :
10.1109/ICIT.2003.1290329