Unified Analysis of Low-SNR Energy Detection and Threshold Selection
For spectrum sensing in cognitive radio networks, the IEEE 802.twenty two commonplace requires the detection of primary signals with an indication-to-noise ratio (SNR) as low as −20 dB and receiver sensitivity as low as −116 dBm. Beneath such low-SNR levels, the performance of a standard energy detector is analyzed in this paper. The analysis includes novel expressions for missed-detection probability and area below the receiver operating characteristic (ROC) curve. Thus, a unified framework covering fading channels, square-law diversity combining, and cooperative spectrum-sensing eventualities is developed. The detection threshold is optimized to minimize the overall error rate subject to bounded false-alarm and missed-detection probabilities, that outperforms ancient detection threshold choice. Numerical results and Monte Carlo simulation results with the IEEE 802.22 sensing needs are provided and discussed.
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