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An FPGA Implementation of Orthogonal Matching Pursuit for Random Demodulation Real-time Reconstruction

Random demodulation (RD) is one of the effective architectures utilizing compressed sensing (CS) theory to implement sub-Nyquist sampling. In this paper, we present an implementation of orthogonal matching pursuit (OMP) algorithm for random demodulation based on field programmable gate arrays (FPGA) to facilitate real-time sub-Nyquist spectrum sensing exploiting RD. The proposed algorithm adopts an incremental QR decomposition (QRD) using Gram-Schmidt orthogonalization method to efficiently solve the least square problem (LSP) and is specified for random demodulation. The hardware implementation on the Virtex7 FPGA makes a good use of the resources to achieve a superior performance. Experiments show the proposed architecture can run at a frequency of 250MHz and reconstruct the signal within 317us for K=200, N=1000, m=40, which is applicable for scenarios requiring real-time spectrum sensing.