Abstract:Since the traditional denoise method is difficult to fully remove the noise in the high intensity focused ultrasound ( HIFU) signal, it is proposed to use compressed sensing (CS) to denoise of HIFU echo signals. In the design of the observation matrix, the traditional Gaussian random observation matrix is improved to a sparse circular structured matrix, reduced time to construct observation matrix and reconstruct signal. Simulation experiments show that compared with the band-pass filter, wavelet denoise method and empirical mode decomposition (EMD) denoise method, the proposed method has higher reconstruction signal-to-noise ratio (RSNR), both reconstruction mean square error (RMSE) and maximum error (ME) are smaller. Using different methods to denoise HIFU echo signals obtained at different temperatures and extract the second harmonic excitation efficiency, it is found that the variance and fluctuation of the second harmonic excitation efficiency curve obtained by this method are smaller, which validate the denoise method superiority in actual signal.