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In this paper, the performance of a Cognitive Radio (CR) regarding cooperative spectrum sensing is analyzed. The CR usually has multiple antennas and calculates decision statistics for all antennas using an improved energy detector. Upon calculation the CR makes a binary decision on whether Primary User (PU) is absent or present. However, in this paper we have considered a single antenna at the CR. The energy detector uses amplitudes of samples of the PU's signal, raised to an arbitrary positive power (p). Expressions for false alarm probability and missed detection probability are derived. The effects of fading have also been included in the expression of the error probabilities. Through calculation the optimal value of p for optimum throughput has been calculated. Also through simulation the minimized values of false alarm probabilities and missed detection probabilities have been found.

Keywords

Cognitive Radio, Detection Probability, False Alarm Probability, Missed Detection Probability.
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