Hybrid Fourier-Wavelet Heart Magnetic Field Signal Denoising Based on Sparse Representation

In order to effectively remove the magnetocardiography (MCG) signal noise and improve the accuracy of heart disease diagnosis, a cardiac Fourier-wavelet denoising method based on sparse representation is used to process the cardiac magnetic signal. The noise reduction method combines the advantages of Fourier and wavelet. The initial denoising process is performed in Fourier domain, and then the residual noise is removed in the wavelet domain. Based on the theory of sparse representation, the wavelet denoising is transformed into an optimization problem, and a denoising model based on sparse representation is established. By eliminating the sparsity of wavelet coefficients, the purpose of noise removal is achieved. The experimental results verify that the method of the paper can effectively improve the denoising effect of the cardiac magnetic signal.