The invention discloses a
variational mode decomposition method based on
quaternary Fourier transform, which comprises the following steps of: selecting parameters,
mode number, iteration step length and convergence tolerance by using a sliding window, and calculating short-time
quaternion Fourier transform of a
signal along an imaginary number unit axis; the method comprises the following steps: initializing an iteration round,
quaternary short-time
Fourier transform of modals, a time-varying
center frequency and a dual operator, updating the short-time
quaternary Fourier transform and the time-varying
center frequency of each
modal, performing dual rising, updating the dual operator, calculating an iteration error, judging whether the iteration error is smaller than a convergence tolerance or not, performing inverse transformation on all modals, and performing inverse transformation on all modals. And
time domain estimation of the mode is obtained. The method can effectively process non-stationary and complex-valued signals, improves the precision and reliability of multi-channel
signal processing, solves the problems of frequency alignment, mode
aliasing and the like, can effectively process the non-stationary and complex-valued signals, improves the precision and reliability of multi-channel
signal processing, and improves the accuracy and reliability of multi-channel
signal processing. And meanwhile, the problems of frequency alignment, mode
aliasing and the like are solved.