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In this paper, the authors propose an optimal detector for the Thomson's Multi-Taper Spectral Estimation (MTSE) in cognitive radios for spectrum sensing. The MTSE is used for spectral estimation and then the proposed detector can detect primary users and spectrum holes in cognitive radios. The detector is optimized based on the Neyman-Pearson Theorem. The analytical detection performance (probability of detection) of detecting Primary Users (PUs) and spectrum holes in spectrum sensing is mathematically formulated and verified by simulations. The proposed detector for the MTSE is non-cooperative in spectrum sensing and can perform blind spectrum sensing without prior knowledge of the primary users.
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