The Nakagami-n (Rician) fading model is essential for characterizing line-of-sight (LOS) wireless channels in 5G and 6G networks. While the Nakagami-n model underpins LOS channel modeling in next-generation networks, the complexity of the modified Bessel function often necessitates the use of the Small Limit Argument Approximation (SLAA). However, the validity domain of this approximation has not been rigorously defined. This study quantifies the SLAA’s accuracy limits, specifically examining the interplay between fading severity (K), SNR (ρ), and diversity order (m). Our analysis reveals that the SLAA maintains structural fidelity (Root Mean Square Error (RMSE) <10-3) only under near-Rayleigh conditions (K<0.04). Furthermore, we observe that approximation error exhibits a linear dependence on m, despite a marginal reduction at higher SNRs. Consequently, the SLAA is unsuitable for strong Rician (K≥1) or high-diversity systems, limiting its utility primarily to asymptotic analyses in weak LOS channels. These findings establish critical design guidelines for the safe application of SLAA in next-generation wireless system analysis.
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