论文标题

使用采样控制的块正交匹配追踪的压缩频谱传感

Compressive Spectrum Sensing Using Sampling-Controlled Block Orthogonal Matching Pursuit

论文作者

Lu, Liyang, Xu, Wenbo, Wang, Yue, Tian, Zhi

论文摘要

本文提出了两种新型的宽带压缩频谱传感(CSS)的新方案(CSS),通过块正交匹配追踪(BOMP)算法,以实时实现高传感精度。这些方案旨在通过自适应调整所需测量的数量而不诱导不必要的采样冗余,以可靠地恢复频谱。为此,成功恢复所需的最小测量数量首先是根据其概率下限得出的。然后,通过拧紧派生的下限来提出CSS方案,其中键是通过通用采样对照算法(SCA)设计非线性指数指示器的设计。特别是,通过对现有的BOMP和拟议的SCA的整体整合而开发了采样控制的BOMP(SC-BOMP)。对于快速实现,通过以测量矩阵的子量相稳定性探索块正交性,进一步开发了SC-BOMP的修改版本,该型号的测量矩阵允许使用较小的测量数量的小界限来进行更压缩的采样。如此快速的SC-BOMP计划在复杂性和表现之间取得了理想的权衡。模拟表明,这两个SC-BOMP方案的表现优于其他基准算法。

This paper proposes two novel schemes of wideband compressive spectrum sensing (CSS) via block orthogonal matching pursuit (BOMP) algorithm, for achieving high sensing accuracy in real time. These schemes aim to reliably recover the spectrum by adaptively adjusting the number of required measurements without inducing unnecessary sampling redundancy. To this end, the minimum number of required measurements for successful recovery is first derived in terms of its probabilistic lower bound. Then, a CSS scheme is proposed by tightening the derived lower bound, where the key is the design of a nonlinear exponential indicator through a general-purpose sampling-controlled algorithm (SCA). In particular, a sampling-controlled BOMP (SC-BOMP) is developed through a holistic integration of the existing BOMP and the proposed SCA. For fast implementation, a modified version of SC-BOMP is further developed by exploring the block orthogonality in the form of sub-coherence of measurement matrices, which allows more compressive sampling in terms of smaller lower bound of the number of measurements. Such a fast SC-BOMP scheme achieves a desired tradeoff between the complexity and the performance. Simulations demonstrate that the two SC-BOMP schemes outperform the other benchmark algorithms.

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