# 基于噪声特性分析的稀疏度估计方法Sparsity Estimation Method Based on Noise Characteristic Analysis

Abstract: The sparse representation, after decades of development, has been deeply studied and applied in many fields. Estimation of signal sparsity is an important part of the work in the sparse decomposition of signal. According to the noise characteristics, this paper proposes a method for estimating sparse degree. By constructing the Fourier base dictionary, using the uniform distribution characteristics of noise energy in the whole frequency domain, and through the sparse characteristics of signal traversing the full spectrum, the accuracy of the signal sparsity is gradually determined. Simulation results show that the proposed method can effectively complete the estimation of signal sparsity.

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