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压缩感知是一种新的采样理论,能够实现信号的无损低速采样,且只需信号在某个变换域内是稀疏的而具体位置可是未知的。文章基于正交频分复用(OFDM)信号在频域呈现出一定的稀疏性,将压缩感知理论应用到OFDM接收机中,提出了一种压缩感知OFDM接收机。理论分析表明该接收机性能主要依赖压缩感知的重构性能和判断域的选择。仿真验证了理论分析,在低信噪比环境中,采样率不低于奈奎斯特频率一半时,压缩感知OFDM接收机的性能优于传统OFDM接收机,有更好的抗噪声能力。
Compressive sensing is a new kind of sampling theory, which can realize the non-destructive low-speed sampling of the signal, but only the signal is sparse in a transform domain and the specific location is unknown. Based on Orthogonal Frequency Division Multiplexing (OFDM) signal in the frequency domain showing a certain degree of sparseness, the compressed sensing theory is applied to the OFDM receiver, a compression-aware OFDM receiver is proposed. Theoretical analysis shows that the performance of the receiver mainly depends on the reconstruction performance of compressed sensing and the choice of decision region. The simulation results show that the compression-aware OFDM receiver has better performance than traditional OFDM receiver in low signal-to-noise ratio (SNR) when the sampling rate is not lower than half the Nyquist frequency, and has better anti-noise ability.