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Cooperative spectrum sensing (CSS) schemes utilizing Compress Sampling (CS) enable efficient and reliable CSS for cognitive radio networks. Existing CSS schemes perform CS by random measurement matrixes, and thus suffer from a loss of efficiency. To counteract this drawback, this letter proposes a CS based CSS scheme using measurement matrix exploring the correlation of the primary spectrum. A reconstruction method with low complexity for CS is further investigated. Numerical results are provided to verify the effectiveness of the proposed scheme.