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On the asymptotic analysis of the high-order statistics of the channel\n capacity over generalized fading channels

2019/10/12 by Ferkan Yılmaz, Yilmaz, Ferkan
Engineering · Mathematics · #Advanced MIMO Systems Optimization #Advanced Wireless Communication Techniques #FOS: Computer and information sciences #Information Theory (cs.IT) #Statistical Distribution Estimation and Applications

paper · pdf · doi:10.48550/arxiv.1910.07675

openalex publication_date 2019/10/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this article, we provide further asymptotic analysis to the higher-order\nstatistics (HOS) of the channel capacity over generalized fading channels,\nespecially by proposing simple and closed-form expressions each of which can be\neasily computed as a tight-bound revealing the existence of constant gap\nbetween the actual and asymptotic HOS of the channel capacity in the limit of\nboth high- and low-signal to noise ratios (SNRs). As such, we show that these\nclosed-form asymptotic expressions are insightful enough to comprehend the\ndiversity gains. The mathematical formalism we followed in this article is\nillustrated with some selected numerical examples that validate the correctness\nof our newly derived asymptotic results.\n

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