A very tight approximate results of MRC receivers over independent Weibull fading channels

Bessate, Abdelmajid; Bouanani, Faïssal El

doi:10.1016/j.phycom.2016.09.001

Cited by 17 publications

(10 citation statements)

References 15 publications

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“…This model has been used in empirical studies as it offers increased freedom to fit the modeling of the diffuse part [14], [15]. As in the Rayleigh case, here we also have only a diffuse component, but the received envelope follows Weibull distribution [16]:…”

Section: Weibull Channel (Wei)mentioning

confidence: 99%

Wireless Channel Modeling Perspectives for Ultra-Reliable Communications

Eggers

Angjelichinoski

Popovski

2019

IEEE Trans. Wireless Commun.

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Ultra-Reliable Low Latency Communication (URLLC) is one of the distinctive features of the upcoming 5G wireless communication, going down to packet error rates (PER) of 10 −9 . In this paper we discuss the statistical properties of the wireless channel models that are relevant for characterization of the lower tail of the Cumulative Distribution Function (CDF). We show that, for a wide range of channel models, the outage probability at URLLC levels can be approximated by a simple power law expression, whose exponent and offset depend on the actual channel model. The main insights from the analysis can be summarized as follows: (1) the two-wave model and the impact of shadowing in combined models lead to pessimistic predictions of the fading in the URLLC region; (2) the CDFs of models that contain single cluster diffuse components have slopes that correspond to the slope of a Rayleigh fading, and (3) multi-cluster diffuse components can result in different slopes. We apply our power law approximation results to analyze the performance of receiver diversity schemes for URLLCrelevant statistics and obtain a new simplified expression for Maximum Ratio Combining (MRC) in channels with power law tail statistics.

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Section: Weibull Channel (Wei)mentioning

confidence: 99%

Wireless Channel Modeling Perspectives for Ultra-Reliable Communications

Eggers

Angjelichinoski

Popovski

2019

IEEE Trans. Wireless Commun.

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“…Based on the approximate PDF derived in Bessate and El Bouanani 15 and Equation 7, as well as applying the Jacobi transform, the PDF of γ s can be accurately approximated by…”

Section: Second Approximate Pdf Of γ Smentioning

confidence: 99%

“…The approximate capacity under OPRA policy of MIMO-STBC subject to the studied fading can be expressed as 15 , eq(12)…”

Section: Capacity Under Opra Policymentioning

confidence: 99%

“…In this paper, 2 recent tight approximate expressions of the Weibull RVs sums PDF are used to derive the performance of MIMO-STBC system subject to WFC. The first one relied on the moment-based density approximants methods, by evaluating the 3 first moments of the Weibull RVs sums, while the second approach [13][14][15] approximates the cumulative distribution function (CDF) by a convolution expression, yielding the approximate PDF. Differently from Bessate and El Bouanani, 16 we extend our study here to be also valid for independent but not necessarily identically distributed (i.n.i.d) WFC.…”

Section: Introductionmentioning

confidence: 99%

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A comparative study on the performance of MIMO‐STBC subject to Weibull fading channels

Bouanani

Bessate

2018

Int J Communication

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In this paper, we investigate the analytical performance of the multiple-input multiple-output system (MIMO) with orthogonal space-time block codes (STBCs) subject to Weibull fading channels (WFC). Space-time block code technique provides an efficient pattern for wireless transmission over various fading channels using multiple transmit antennas. Two approximating methods of the sum of independent Weibull random variables are studied. For each approach, we derive accurate approximate expressions for several performance metrics of MIMO-STBC system operating under independent and nonidentical WFC. The proposed approximations are expressed in terms of 2 generalized hypergeometric functions, namely, Fox's H and Meijer's G functions. All the derived approximate expressions prove high accuracy, while compared with the simulation results established via Monte Carlo method and Kolmogorov-Smirnov test as well.Although the 2 approaches have approximately the same accuracy, the second method approximate expressions are much less complex than those of the first method. KEYWORDS channel capacity, Fox's H function, Meijer's G function, MIMO-STBC, probability density function (PDF), symbol error rate, outage probability, Weibull fading channels (WFC) | INTRODUCTIONTo overcome the problem of transmit diversity technique for the multiple-input multiple-output (MIMO) systems, several interesting coding and modulation techniques have been attacked in various ways recently. One famous modulation scheme is the orthogonal space-time block codes (STBCs). 1 A generalization of STBC has been investigated later in Tarokh et al. 2 Based on several studies, it is proven that the STBC can ensure the same diversity order as maximal-ratio combining (MRC). On the other hand, the monopath channel capacity is known to be less than the one of MIMO system. 3 The main advantage of STBCs is that the maximum probability decoding can be reached using a linear processing at the receiver. 4 Shin and Lee 5 analyzed, using the moment-generating function-based approach, the exact average symbol error rate (ASER) of MIMO-STBC system with some modulation schemes under Nakagami-m fading channels. In Pérez et al, 6 accurate approximate outage capacities of MIMO-STBC over several kinds of fading distribution such as Rayleigh, Rice, Nakagami-m, and Weibull were derived. The channel capacities under adaptive transmission policy of MIMO-STBC operating under Rayleigh fading channels were derived in closed form in Maaref and Aissa. 7 In addition to the small-scale fading, the shadowing, ie, large-scale fading, can affect the signal during its propagation, which will extremely reduce the advantages of MIMO system. In Yang, 8 the shadowing was modeled via the lognormal

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“…An approximation for the CDF of the sum of n i.i.d. Weibull RVs is presented in [12]. Using this approximation we have…”

Section: B Performance Of Harq With Chase Combining Schemementioning

confidence: 99%

Modeling of MTC Energy Consumption for D2D Communications with Chase Combining HARQ Scheme

Anamuro

Varsier

Schwoerer

et al. 2018

2018 IEEE Globecom Workshops (GC Wkshps)

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HAL is a multidisciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers. L'archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d'enseignement et de recherche français ou étrangers, des laboratoires publics ou privés.

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A very tight approximate results of MRC receivers over independent Weibull fading channels

Cited by 17 publications

References 15 publications

Wireless Channel Modeling Perspectives for Ultra-Reliable Communications

Wireless Channel Modeling Perspectives for Ultra-Reliable Communications

A comparative study on the performance of MIMO‐STBC subject to Weibull fading channels

Modeling of MTC Energy Consumption for D2D Communications with Chase Combining HARQ Scheme

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