Abstract:  Some denoising method can not attenuate the noise in desert seismic signal because it has both low frequency noise and Gauss white noise in desert seismic signal． CSD( Compound Sparse Denoising) method is proposed to attenuate the low frequency noise and Gauss white noise in desert seismic signal simultaneously． In the compound sparse denoising，square loss is used as the fidelity constraint of the loss function，the L1 norm of the first derivative of signal and the signal itself are used as sparse constraint of the loss function． The Gauss white noise in the signal can be removed by minimizing the loss function． In order to remove the low frequency noise at the same time，compound sparse denoising combines the low pass filter so that the low frequency noise and the Gauss white noise can be removed． Tests on both synthetic records and real desert seismic signal indicate that compound sparse denoising can attenuate both low frequency noise and Gauss white noise in desert seismic signal． The composite sparse denoising is better than the bandpass filter in amplitude preserving，and the bandpass filter will produce more serious distortion after denoising，while the distortion of hte composite sparse denoising is smaller．

Key words: regularization, desert seismic noise, noise attenuate, compound sparse denoising