A tight closed-form approximation of the log-normal fading channel capacity

Héliot, Fabien; Chu, Xiaoli; Hoshyar, Reza; Tafazolli, Rahim

doi:10.1109/twc.2009.080972

Cited by 40 publications

(21 citation statements)

References 25 publications

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“…The parameter V dB, known as the dB spread has been reported to vary in the range of 1-12 dB for most wireless communication systems over log-normal fading channels [17].…”

Section: Moment Generating Function Of the Channel Capacitymentioning

confidence: 99%

“…(17).The average channel capacity reduces to 2 2 1 1 2 0 (19) and noting that (t) k at t=0 as 0, eqn. (18) is simplified to…”

Section: Average Channel Capacitymentioning

confidence: 99%

“…A simplified expression for average channel capacity over log-normal channel in the form of convergent infinite series has been presented by Laourine et.al [16,18]. Heliot et.al [17] have also derived an expression for average channel capacity for different range of shadowing within an estimated error bound. Recently, Laourine et.al [18] have given an analytical expression for higher order moments as an infinite series for lognormal channel capacity with and without diversity combining technique like MRC(Maximal Ratio combining) and EGC(Equal gain combining) .…”

Section: Introductionmentioning

confidence: 99%

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MGF and high order moment of channel capacity in log-normal fading environment

Karmeshu

Khandelwal

2011

Proceedings of the 1st International Conference on Wireless Technologies for Humanitarian Relief

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The analytical expression for the MGF (Moment Generating Function) of the channel capacity in log-normal fading environment is derived. Using MGF, the closed form expression for higher order moments of channel capacity are computed as a rapidly convergent infinite series. Explicit expression for error and its upper bound resulting on account of truncation of series are obtained. Numerical results based on truncated infinite series are found to be in excellent agreement with those based on Monte Carlo simulation and Gauss Hermite method. Statistical measures like coefficient of variation, skewness and kurtosis are obtained for different values of shadowing level over a range of practical interest. It is found on the basis of skewness and kurtosis that gaussian approximation for channel capacity in log-normal fading environment is not in general valid over the entire range of dBspread. Keywords-Channel capacity, log-normal fading, diversity method, moment generating function

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“…The parameter V dB, known as the dB spread has been reported to vary in the range of 1-12 dB for most wireless communication systems over log-normal fading channels [17].…”

Section: Moment Generating Function Of the Channel Capacitymentioning

confidence: 99%

“…(17).The average channel capacity reduces to 2 2 1 1 2 0 (19) and noting that (t) k at t=0 as 0, eqn. (18) is simplified to…”

Section: Average Channel Capacitymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

MGF and high order moment of channel capacity in log-normal fading environment

Karmeshu

Khandelwal

2011

Proceedings of the 1st International Conference on Wireless Technologies for Humanitarian Relief

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show abstract

“…For the BER, an integral form of the moment generating function (MGF) is available in [1] while [2] proposed an approximate close-form expression. On the other hand, the EC was expressed in an infinite series form in [3] and approximated in closed-form in [4]. This problem becomes even more challenging for diversity combining systems.…”

Section: Introductionmentioning

confidence: 99%

On the Ergodic Capacity of Dual-Branch Correlated Log-Normal Fading Channels with Applications

AlQuwaiee

Alouini

2015

2015 IEEE 81st Vehicular Technology Conference (VTC Spring)

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Closed-form expressions of the ergodic capacity of independent or correlated diversity branches over Log-Normal fading channels are not available in the literature. Thus, it is become of an interest to investigate the behavior of such metric at high signal-to-noise (SNR). In this work, we propose simple closed-form asymptotic expressions of the ergodic capacity of dual-branch correlated Log-Normal corresponding to selection combining, and switch-and-stay combining. Furthermore, we capitalize on these new results to find new asymptotic ergodic capacity of correlated dual-branch free-space optical communication system under the impact of pointing error with both heterodyne and intensity modulation/direct detection.

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“…In [ 13], an accurate closed-form approximation of the ergodic capacity was derived and an asymptotic result at high SNR was proposed. A tight closed-form expression of the ergodic capacity was presented in [ 14]. Adaptive transmission schemes are considered in [ 15] and closed-form expressions of the capacity are provided for the optimal power and rate adaptation.…”

mentioning

confidence: 99%

On the low SNR capacity of log-normal turbulence channels with full CSI

Benkhelifa

Tall

Rezki

et al. 2014

2014 3rd International Workshop in Optical Wireless Communications (IWOW)

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In this paper, we characterize the low signal-to-noise ratio (SNR) capacity of wireless links undergoing the log-normal turbulence when the channel state information (CSI) is perfectly known at both the transmitter and the receiver. We derive a closed form asymptotic expression of the capacity and we show that it scales essentially as ASNR where A is the water-filling level satisfying the power constraint. An asymptotically closed form expression of A is also provided. Using this framework, we also propose an on-off power control scheme which is capacity achieving in the low SNR regime.

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A tight closed-form approximation of the log-normal fading channel capacity

Cited by 40 publications

References 25 publications

MGF and high order moment of channel capacity in log-normal fading environment

MGF and high order moment of channel capacity in log-normal fading environment

On the Ergodic Capacity of Dual-Branch Correlated Log-Normal Fading Channels with Applications

On the low SNR capacity of log-normal turbulence channels with full CSI

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