研究目的
Investigating the impact of the signal bandwidth and observation bandwidth on the detection performance of the maximum-minimum eigenvalue detector for Gaussian signals.
研究成果
For Gaussian signals, the optimal ratio between the occupation and observation bandwidths for the maximum-minimum eigenvalue detector is analytically proven to be 0.5, achieving the highest probability of detection. This finding is verified through simulations, showing that the detection probability peaks at this ratio and decreases with any deviation.
研究不足
The study is limited to Gaussian signals and assumes the asymptotic limit of N → ∞ for the empirical distribution of eigenvalues to fit Marchenko Pastur distributions. The impact of finite sample sizes on the analysis is acknowledged but not deeply explored.
1：Experimental Design and Method Selection:
The study employs the maximum-minimum eigenvalue (MME) detector for spectrum sensing, focusing on Gaussian signals. The methodology includes analytical derivation of the optimal signal to observation bandwidth ratio and simulation verification.
2：Sample Selection and Data Sources:
Gaussian signals with different SNRs ranging from -14 to 0 dB are generated, simulating WCDMA-like signals.
3：List of Experimental Equipment and Materials:
Not explicitly mentioned in the paper.
4：Experimental Procedures and Operational Workflow:
The occupation bandwidth for each signal is varied from 0 to the full observation bandwidth with a step of (0.125 × B). The MME detector uses 5000, 20, and 0.1 as values for N, L, and p f, respectively.
5：125 × B). The MME detector uses 5000, 20, and 1 as values for N, L, and p f, respectively.
Data Analysis Methods:
5. Data Analysis Methods: The study uses the Marchenko Pastur density function to analyze the eigenvalues distribution of the signal covariance matrix.
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