SYSTEMS AND METHODS FOR THE ACCURATE AND RAPID ESTIMATION OF TIME-VARYING SIGNAL COMPONENTS

摘要

A signal processing method includes the steps of providing a non-symmetrical polynomial type real basis function having a low pass frequency property, and formulating a transform kernal having a band pass frequency property using the basis function. The transform kernal includes a positive scaling factor and a frequency modulation parameter and provides an adjustable time-frequency window based on the positive scaling factor and frequency modulation parameter. An inner product between the transform kernal and a signal to be analyzed is generated to produce a bandpass complex filtering output. At least one parameter associated with the signal to be analyzed is estimated from the bandpass complex filtering output, such as the amplitude of current/voltage, phase angle, frequency and power of fundamental or harmonic components in the case of an electrical power signal.