Abstract
Mathematical modelling of the behavior of the radio propagation at mmWave bands is crucial to the development of transmission and reception algorithms of new 5G systems. In this study we will model 5G propagation in nondeterministic line-of-sight (LOS) conditions, when the random nature of LOS component ratio will be observed as Inverse Gamma (IG) distributed process. Closed-form expressions will be presented for the probability density function (PDF) and cumulative distribution function (CDF) of such random process. Further, closed-form expressions will be provided for important performance measures such as level crossing rate (LCR) and average fade duration (AFD). Capitalizing on proposed expressions, LCR and AFD will be discussed in the function of transmission parameters.
Highlights
Keeping pace with the insatiable demand of wireless data transmission growth has resulted in occurrence of novel 5G technologies that can offer significant increase in cellular capacity and overcoming of the wireless spectrum shortage [1, 2]
Stochastic channel models for mmWave communications in both indoor and outdoor environments have been mostly characterized with a Rician distribution in line-of-sight (LOS) environments where a dominant path is present and with Rayleigh distribution for NLOS environment scenarios [7]
Despite the fact shown in [7] that Rician distribution provides the best fit to the measurement data, results of [7] imply that conventional fading models often fall short in accurately modelling the random fluctuations of 5G wireless channel signal
Summary
Keeping pace with the insatiable demand of wireless data transmission growth has resulted in occurrence of novel 5G technologies that can offer significant increase in cellular capacity and overcoming of the wireless spectrum shortage [1, 2]. Despite the fact shown in [7] that Rician distribution provides the best fit to the measurement data, results of [7] imply that conventional fading models often fall short in accurately modelling the random fluctuations of 5G wireless channel signal. Standard first-order statistical characterization for this model will be determined; that is, probability density function (PDF) and cumulative distribution function (CDF) of random envelope process will be obtained in closed representation that is convenient to handle both analytically and numerically. Important second-order statistical measures as level crossing rate (LCR) and average fade duration (AFD) will be presented in closed form. Capitalizing on their performances of proposed channel will be discussed in function of the system parameters
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