Rapid harmonic detection based on generalized HS-transform

In this paper, the hyperbolic S-transform (HS-transform) has been generalized with the introduction of the whole time frequency regulation factor and the regulation of frequency in the HS window function. Combined with the idea of incomplete S-transform, a rapid harmonic detection based on generalized HS-transform (GHST) is proposed. Firstly, it detected each harmonic frequency according to the dynamic measurement of signal power spectrum envelope, then it made generalized HS-transform specifically for the corresponding major harmonic frequency points, and the characteristic quantities of the resulting HS complex matrix determined the information of the harmonic amplitude and phase. Thus the method can quickly detect harmonic frequency and the specific parameters of the steady-state or transient harmonic signals. Simulation results validate the high accuracy, excellent noise immunity and good real-time performance of the proposed algorithm.