Amplitude Extraction of Ground-Airborne Frequency-Domain Electromagnetic Signals Based on Synchroextracting Transform
The detection signal of the ground-airborne frequency-domain electromagnetic method(GAFDEM)is multi-frequency non-stationary signal,when extracting its amplitude using conventional Fourier transform methods,the resolution is poor.To solve the above problem,this paper proposes an amplitude extraction method of ground-airborne frequency-domain electromagnetic signal based on synchroextracting transform(SET).This method performs SET on the electromagnetic data to obtain high-resolution time-frequency graph,and uses energy operator to make the energy of time-frequency spectral electromagnetic data more concentrated.At the same time,the greedy algorithm is used to realize the ridge extraction method to obtain the high energy band of the time-frequency graph.By filling in zero values in the ridges adaptively through autoregressive model,the endpoint effect problem caused by the window function is solved,according to the complex value of the time-frequency-diagram at the ridge location,the variation of the amplitude of each frequency component with time is obtained,and the accuracy of the amplitude extraction of electromagnetic signals in the ground-airborne frequency-domain based on SET is investigated under different signal-to-noise ratios.Through calculation,when the signal-to-noise ratio is greater than or equal to 10 dB,the average relative root mean square error of the amplitude extraction result is less than 5%;When the signal-to-noise ratio is less than 10 dB,the average relative root mean square error of the amplitude extraction result is less than 10%,achieving good extraction results.This method is applied to the GAFDEM delection of the Huola Mountain tunnel project in Xinjiang,and the amplitude of each frequency component of the multi-frequency electromagnetic signal is successfully extracted.Compared with the method of extracting non-stationary signal amplitude using the Fourier transform,this method effectively improves the resolution of amplitude extraction results.