Phase difference correction method for phase and frequency in spectral analysis

A new method, phase difference corrections method is developed to correct t he frequency and phase of spectrum peak. The continuous time-domain signal is separated into two segments and fast Fourier translation (FFT) is carrie d out for them, respectively. The frequency and phase are corrected using t he phase difference of corresponding discrete spectral lines. Furthermore, the amplitude can also be rectified using the formula of window function sp ectrum. This method, with good adaptability, high speed and accuracy, is th eoretically simple. It can resolve the frequency by means of phase differen ce directly without the formula of window function. Simulation shows that t he single-component frequency, phase and amplitude of theoretical signal ca n be corrected satisfactorily, with frequency error less than 0.0002 freque ncy resolution, phase 0.1 degrees and amplitude 0.0002. If the signal invol ves noise, the mean corrected errors are less than 0.001 frequency resoluti on, 1 degrees for phase, and 0.01 for amplitude, respectively, and the maxi mum corrected errors of one segment are less than 0.01 frequency resolution , 1 degrees and 0.03, respectively. (C) 2000 Academic Press.