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过完备字典下的信号稀疏分解能够充分利用信号的结构特征,具有更好的稀疏分解性能。主要研究了跳频信号在过完备字典下的稀疏分解,提出了过完备结构字典下的跳频信号稀疏分解方法。利用跳频信号固有的结构特性,构造更加接近跳频信号结构特征的过完备字典,并采用FFT改进的匹配追踪算法对跳频信号进行稀疏分解。仿真结果表明该方法在分解效果和分解所需时间方面都有很大改善。
Sparse decomposition of the signal under the overcomplete dictionary can make full use of the structural features of the signal and has better sparse decomposition performance. Mainly studied the sparse decomposition of the frequency-hopping signal under the over-complete dictionary, and proposed a sparse decomposition method of the frequency-hopping signal under the over-complete structure dictionary. By using the inherent structure of frequency hopping signal, an overcomplete dictionary is constructed which is close to the structure of frequency hopping signal. The improved FFT algorithm is used to sparsely decompose the frequency hopping signal. The simulation results show that this method has a great improvement in decomposition efficiency and time required for decomposition.