Estimation of Frequency, Amplitude and Phase of Sinusoidal Signals

摘要

An algorithm for the fundamental frequency, amplitude and phase of sinusoidal signals with a wide range using numerical differentiation and central Lagrange interpolation is presented in this paper. The sample consequences and its multi-order differentiation is employed for estimation computation. The proposed algorithm is adaptive to any sinusoidal signals with its frequency varying from 1Hz to 2kHz, its amplitude varying from 0V to 20V, and its phase varying from 0 to 360. The proposed algorithm for frequency estimation needs in at most 1 cycle, with an accuracy of more than 0.001%. An example for test study is simulated in Matlab software with satisfactory results for estimation of fundamental frequency, amplitude and phase.