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In this paper, the authors investigate the utility of correlation and eigenanalysis models for analyzing the performance of Frequency Modulation (FM) system formed by combining Phase-Locked Loop (PLL) and Amplitude-Locked Loop (ALL) models using the Least-Mean-Square (LMS) algorithm in the presence of Co-Channel Interferences (CCI) and Additive White Gaussian Noise (AWGN). The ALL system demonstrates various Interferences to Carrier Ratio (ICR) characteristics using the Power Spectral Density (PSD) and can be used as a digital receiver for monitoring systems and signal intercepted applications. These numerically evaluated statistical performances of the cross-correlation algorithm are proposed to characterize the properties and variations of correlation. The results are based on explicit closed-form expressions, which they derive for the eigenvalues distribution of auto-correlated matrices.
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