The Influence of Spatial Correlation and Severity of Fading on the Statistical Properties of the Capacity of OSTBC Nakagami-m MIMO Channels

Rafiq, Gulzaib; Pätzold, Matthias; Kontorovich, Valeri

doi:10.1109/vetecs.2009.5073880

Cited by 8 publications

(5 citation statements)

References 21 publications

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“…Also, due to its complexity, (5) gives us no insight into the moments of the outage intervals. For the important case of very low thresholds, however, a simple approximate solution for the distribution of the outage duration τ can be derived.…”

Section: Rice Probability Functionmentioning

confidence: 99%

“…For example, the ADF, the LCR, and the ADF of the instantaneous capacity of MIMO Rayleigh channels have been studied in [3] and [4] for the cases of symmetrical and asymmetrical Doppler PSDs, respectively. Moreover, the authors of [5] investigated the impact of the spatial correlation on the statistics of the capacity of MIMO Nakagami-m channels. In the past, the study of the outage events has been mostly devoted to the analysis of the LCR and ADF.…”

Section: Introductionmentioning

confidence: 99%

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Statistical Analysis of the Channel Capacity Outage Intervals in Massive MIMO Systems with OSTBC over Rayleigh Fading Channels

Hicheri

Hajri

Youssef

et al. 2015

2015 IEEE 81st Vehicular Technology Conference (VTC Spring)

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This paper studies approximate solutions for the statistical properties of the outage intervals of the instantaneous capacity in massive multiple-input multiple-output (MIMO) systems with orthogonal space-time block code (OSTBC) over Rayleigh fading channels. We take advantage from the fact that the probability density function (PDF) of the channel power gain can be approximated by a left-truncated Gaussian distribution if the number of transmit and receive antennas is large. Assuming a symmetrical Doppler power spectral density (PSD), a closedform expression is presented for the Rice probability function of the outage durations. This function, in general, approximates the PDF of the outage intervals only over its initial part. By applying the asymptotic behavior of level crossings of Gaussian processes, an alternative expression, valid only for low capacity thresholds, is obtained, which, in turn, is applied to determine an approximate solution for the kth-order moments of the outage intervals. Also presented is the PDF of the so-called instantaneous capacity loss with respect to the average capacity. Simulation results have been shown to be in good agreement with the theoretical approximations, thereby confirming their validity. Although, the focus of the study is on massive MIMO systems, it has been observed that the approximations are accurate even for a moderate number of antennas such as the case of 4×4 MIMO-OSTBC systems.

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Section: Rice Probability Functionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Statistical Analysis of the Channel Capacity Outage Intervals in Massive MIMO Systems with OSTBC over Rayleigh Fading Channels

Hicheri

Hajri

Youssef

et al. 2015

2015 IEEE 81st Vehicular Technology Conference (VTC Spring)

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“…The LCR and ADF of MIMO eigen-channels have also been studied in [6]. The impact of spatial correlation on the statistical properties of the capacity in MIMO Nakagami-m channels has been analyzed in [7], [8]. As can be noted from the above literature, the study of the capacity outage phenomena has mostly been devoted to the determination of the LCR and ADF.…”

Section: Introductionmentioning

confidence: 99%

An asymptotic approximate solution to the distribution of the capacity outage intervals in OSTBC-MIMO Rayleigh fading channels

Youssef

Rafiq

Hicheri

et al. 2013

2013 IEEE 24th Annual International Symposium on Personal, Indoor, and Mobile Radio Communications (PIMRC)

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This paper deals with the study of asymptotic probability density functions (PDFs) of the outage durations of the instantaneous capacity (also referred to as the mutual information) in orthogonal space-time block code (OSTBC) transceiver systems over multiple-input multiple-output (MIMO) Rayleigh fading channels. The Rayleigh fading subchannels are assumed to be frequency-nonselective and mutually uncorrelated, whereas the associated Doppler power spectral density is supposed to be symmetric about the origin. In addition, the channel state information (CSI) is considered to be available only at the receiver side. Taking these assumptions into account, and drawing upon known statistical properties for the asymptotic behavior of chi-square processes at low levels, we provide a closed-form approximate solution for the PDF of the outage intervals of the underlying capacity processes. Furthermore, an analytical expression is also provided for the kth-order moments of the outage intervals. These statistical quantities will as well be shown to be useful for studying the statistics of the capacity outage durations of single-input multiple-output (SIMO) and multipleinput single-output (MISO) systems. The validity of the obtained approximate asymptotic solutions has been confirmed by means of computer simulations.

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“…The outage performance and the error probability analysis of OSTBC MIMO systems have been studied in [8][9][10]. Moreover, the statistical properties of the capacity of OSTBC MIMO Nakagami-m channels have been analyzed in [11].…”

Section: Introductionmentioning

confidence: 99%

The Impact of Shadowing and the Severity of Fading on the First and Second Order Statistics of the Capacity of OSTBC MIMO Nakagami-Lognormal Channels

Rafiq

Pätzold

2011

Wireless Pers Commun

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This article presents a thorough statistical analysis of the capacity of orthogonal space-time block coded (OSTBC) multiple-input multiple-output (MIMO) Nakagamilognormal (NLN) channels. The NLN channel model allows to study the joint effects of fast fading and shadowing on the statistical properties of the channel capacity. We have derived exact analytical expressions for the probability density function (PDF), cumulative distribution function (CDF), level-crossing rate (LCR), and average duration of fades (ADF) of the capacity of MIMO NLN channels. It is observed that an increase in the MIMO dimension or a decrease in the severity of fading results in an increase in the mean channel capacity, while the variance of the channel capacity decreases. On the other hand, an increase in the shadowing standard deviation increases the spread of the channel capacity, however the shadowing effect has no influence on the mean channel capacity. We have also presented approximation results for the statistical properties of the channel capacity, obtained using the Gauss-Hermite integration method. It is observed that approximation results not only reduce the complexity, but also have a very good fitting with the exact results. The presented results are very useful and general because they provide the flexibility to study the impact of shadowing on the channel capacity under different fading conditions. Moreover, the effects of

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The Influence of Spatial Correlation and Severity of Fading on the Statistical Properties of the Capacity of OSTBC Nakagami-m MIMO Channels

Cited by 8 publications

References 21 publications

Statistical Analysis of the Channel Capacity Outage Intervals in Massive MIMO Systems with OSTBC over Rayleigh Fading Channels

Statistical Analysis of the Channel Capacity Outage Intervals in Massive MIMO Systems with OSTBC over Rayleigh Fading Channels

An asymptotic approximate solution to the distribution of the capacity outage intervals in OSTBC-MIMO Rayleigh fading channels

The Impact of Shadowing and the Severity of Fading on the First and Second Order Statistics of the Capacity of OSTBC MIMO Nakagami-Lognormal Channels

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