Figure 8.5: ROC curve for single-source detection, K = 1, N = 4, M = 8, SNR = −3 dB, FAR range of practical interest.
The integral in the numerator is then extended on its first column, the remainder of the matrix having a Vandermonde determinant. What remains is then an integral form of the g1 parameter. Hence the result.
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The scenario where K ≥ 1 unfolds similarly. The final theorem can be found in [2]. The receiver operating characteristics (ROC) curve of the Neyman-Pearson test against that of the energy detector is provided in Figure 8.5 for N = 4, M = 8 and σ2 =3 dBm. We observed a significant performance gain in terms of detection rate ...
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