基于压缩感知的脉冲超宽带信号检测

    Impulse Radio Ultra-Wideband Signal Detection Based on Compressive Sensing

    • 摘要: 传统的信号检测算法基于奈奎斯特采样定理来实现,这对于带宽极宽的超宽带(ultra-wideband,UWB)信号而言由于要求采样速率过高而很难用硬件去实现。为此,本文研究了基于压缩感知(compressive sensing,CS)的脉冲超宽带(impulse radio UWB, IR-UWB)信号检测问题,利用IR鄄UWB 信号在时域上的稀疏特性,设计了一种基于压缩感知的IR鄄UWB 信号检测框架,在此基础上提出了一种自适应加权正交匹配追踪检测算法。仿真结果表明,新算法不仅能够通过远少于奈奎斯特定理所要求的采样速率检测出IR-UWB 信号,而且与基于匹配追踪的压缩感知检测算法相比,新算法在低信噪比的情况下对IR-UWB 信号的检测效果更佳。

       

      Abstract: It is well known that the traditional signal detection methods are based on the Nyquist theorem. However, it will lead to an extremely high sampling rate for ultra-wideband signal detection, making it difficult to implement in practical hardwares. In order to solve this problem, impulse radio UWB (IR-UWB) signal detection problem based on compressive sensing (CS) is studied in this paper. By exploiting the sparsity of the IR-UWB signal in the time domain, we design a CS-based IR-UWB signal detection system and propose an adaptive weighted orthogonal matching pursuit (AWOMP) algorithm.Simulation results show that the proposed algorithm can detect the IR-UWB signal with a sampling rate much lower than the Nyquist rate. Moreover, it can maintain higher performance gains than the existing matching pursuit (MP) based detection algorithm, especially at low signal-to-noise ratio (SNR) egimes.

       

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