A Generalized Mixture of Gaussians for Fading Channels

Alhussein, Omar; Selim, Bassant; Assaf, Tasneem; Muhaidat, Sami; Liang, Jie; Karagiannidis, George K.

doi:10.1109/vtcspring.2015.7145607

Cited by 12 publications

(13 citation statements)

References 9 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…This gives outage between S-R link as (7) Further, using Mixture Gamma fading distribution along relay R to destination D, outage for relay to destination link may be given as…”

Section: Closed Form Expression Of Outage Probabilitymentioning

confidence: 99%

“… is the incomplete gamma function. Now, after using equation (7) and equation (10) into equation (5), we get the outage probability between source to destination for dual hop AF relaying system as given below.…”

Section: Closed Form Expression Of Outage Probabilitymentioning

confidence: 99%

“…derived. In [7], a generalized fading model based on Mixture of Gaussians (MoG) distribution was suggested. In [8], it was evaluated that during wireless transmission, communication system can have better energy efficiency when there is relay at some particular distance from source.…”

mentioning

confidence: 99%

See 2 more Smart Citations

Closed Form Solution for Outage and Average Bit Error Rate of Asymmetric Relaying System

Singh¹,

Mukhopadhyay²

2019

IJITEE

View full text Add to dashboard Cite

 Abstract: In this paper, closed form solution of outage and bit error rate (BER) is evaluated for the purpose of performance analysis of the amplify and forward relaying scheme under the asymmetric fading environment. In this dual hop system, we have used Rayleigh fading along source S to relay R and Mixture Gamma fading along relay R to destination D. First, we have derived closed form solution of outage and then we have used this derived expression for getting closed form solution of bit error rate (BER) for different kinds of modulation. Since Mixture Gamma fading channel represents many fading channels as its special case, so proposed closed form solution of outage and bit error rate may be used for analysis of outage and bit error rate under various fading scenarios. Specifically, in this paper, for analysis of outage and bit error rate (BER), we have taken Nakagami-m fading as a particular case of Mixture Gamma fading and analyzed the performance of proposed system after observing effect of fading severity factor and signal to noise ratio (SNR) on outage probability and bit error rate (BER).

show abstract

“…This gives outage between S-R link as (7) Further, using Mixture Gamma fading distribution along relay R to destination D, outage for relay to destination link may be given as…”

Section: Closed Form Expression Of Outage Probabilitymentioning

confidence: 99%

Section: Closed Form Expression Of Outage Probabilitymentioning

confidence: 99%

See 1 more Smart Citation

Closed Form Solution for Outage and Average Bit Error Rate of Asymmetric Relaying System

Singh¹,

Mukhopadhyay²

2019

IJITEE

View full text Add to dashboard Cite

show abstract

“…The probability density function of MG distribution can be expressed as

f_{γ} ((), x) = \sum_{m = 1}^{C} \frac{α_{m}}{γ_{0}} {(\frac{x}{γ_{0}})}^{β_{m} - 1} exp ((), - \frac{ζ_{m} x}{γ_{0}})

where the scale and shape parameters of the m th component are denoted by β m and ζ m , the number of mixture components is denoted by C , the mixing coefficient of the m th component is denoted by α m , having the constraints

0 \leq α_{m} Γ ((), β_{m}) / ζ_{m}^{β_{m}} \leq 1

and

\sum_{m = 1}^{c} α_{m} Γ ((), β_{m}) / ζ_{m}^{β_{m}} = 1

, Γ (⋅) is the standard gamma function, and

γ_{0} = \frac{E ([], h_{i, k}^{2}) δ_{i, k}}{σ_{i, k}^{2}}

represent the average SNR under the composite fading channel.…”

Section: Spectrum Sensing Performancementioning

confidence: 99%

Cross‐layer optimization for full‐duplex cognitive radio network with cooperative spectrum sensing

Liu

2018

Int J Communication

View full text Add to dashboard Cite

In this paper, the cross-layer optimal design of multihop ad hoc network employing full-duplex cognitive radios (CRs) is investigated. Firstly, the analytical expressions of cooperative spectrum sensing performance for multihop CR networks over composite fading channels are derived. Then, the opportunistic throughput and transmit power of CRs are presented based on the derivation of false alarm and missed detection probability. Finally, a multiobjective optimization model is proposed to maximize the opportunistic throughputs and minimize the transmitting power. Simulation results indicate that Pareto optimal solution of sensing duration, decision threshold, and transmit power can be achieved by cross-layer multiobjective optimization, it can balance the conflicts between different objective functions and reap the acceptable outcomes for multihop CR network.

show abstract

“…For example, in the analyses of [19]- [23], the K distribution is utilized to study the ED performance over Rayleigh/Lognormal (RL) channels. The energy detector performance for the MoG distribution [24] is derived in [25]. In [26], the sufficiency and optimality of cooperative wireless sensor networks that are based on energy detection is analyzed over NLOS fading environments, where zero-mean Gaussian mixtures are assumed as a viable model for NLOS fading channels.…”

Section: Introductionmentioning

confidence: 99%

Performance analysis of energy detection over mixture gamma based fading channels with diversity reception

Alhussein

Hammadi

Sofotasios

et al. 2015

2015 IEEE 11th International Conference on Wireless and Mobile Computing, Networking and Communications (WiMob)

Self Cite

View full text Add to dashboard Cite

The present paper is devoted to the evaluation of energy detection based spectrum sensing over different multipath fading and shadowing conditions. This is realized by means of a unified and versatile approach that is based on the particularly flexible mixture gamma distribution. To this end, novel analytic expressions are firstly derived for the probability of detection over MG fading channels for the conventional single-channel communication scenario. These expressions are subsequently employed in deriving closed-form expressions for the case of squarelaw combining and square-law selection diversity methods. The validity of the offered expressions is verified through comparisons with results from respective computer simulations. Furthermore, they are employed in analyzing the performance of energy detection over multipath fading, shadowing and composite fading conditions, which provides useful insighs on the performance and design of future cognitive radio based communication systems.

show abstract

A Generalized Mixture of Gaussians for Fading Channels

Cited by 12 publications

References 9 publications

Closed Form Solution for Outage and Average Bit Error Rate of Asymmetric Relaying System

Closed Form Solution for Outage and Average Bit Error Rate of Asymmetric Relaying System

Cross‐layer optimization for full‐duplex cognitive radio network with cooperative spectrum sensing

Performance analysis of energy detection over mixture gamma based fading channels with diversity reception

Contact Info

Product

Resources

About