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In this paper, the authors investigate an optimization of threshold level with energy detection to improve the spectrum sensing performance. Determining threshold level to minimize spectrum sensing error both reduces collision probability with primary user and enhances usage level of vacant spectrum, resulting in improving total spectrum efficiency. However, when determining threshold level, spectrum sensing constraint should also be satisfied since it guarantees minimum required protection level of primary user and usage level of vacant spectrum. To minimize spectrum sensing error for given spectrum sensing constraint, they derive an optimal adaptive threshold level by utilizing the spectrum sensing error function and constraint which is given by inequality condition.
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