On ergodic capacity of cooperative non-regenerative relay networks in Rice fading environments

Modi, Bhuvan; Olabiyi, O.; Annamalai, A.; Vaman, Dhadesugoor R.

doi:10.1109/glocomw.2011.6162468

Cited by 11 publications

(25 citation statements)

References 14 publications

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“…In addition, our MGF expression may be exploited for efficient evaluation of ASER and/or average packet error rate (APER) with discrete-rate adaptive modulation and/or computation of the average detection probability of relay-assisted energy detector over generalized fading channel. Numerical results indicate that our MGF expression is much closer to the exact MGF compared to the widely used upper and lower bounds for the MGF of half harmonic mean SNR (e.g., [10]- [13]) despite its simplicity and generality. While our unified MGF formula is slightly less accurate compared to the MGF of the half-harmonic mean SNR (only available for specific fading scenarios) in [5]- [8] and [16], it is still very close to the exact MGF expression derived in [14] and [18] (also available for only specific fading environments) while ensuring numerically stable and low computational cost.…”

Section: Introductionmentioning

confidence: 60%

“…have also been developed to minimize the complexity of the problem in Nakagami-m [11], [12] and Rice channels with i.n.d diversity paths [13]. These expressions are summarized in (10) and (11), respectively.…”

Section: Nakagami-m Fadingmentioning

confidence: 99%

“…(5) and Table 1] is neither computationally efficient nor numerically stable due to the need to perform numerical integration of product of two infinite series. Thus, the bounding technique [13] and asymptotic analysis [9] are the only viable analytical tools for ASER analysis. …”

Section: Unified Closed-form Aser Expression For 2-hop Caf Multi-relamentioning

confidence: 99%

“…4 for Rice factor K = 3). Closed-form formulas for the MGF of ( ) LB i  and ( ) UB i  have been derived in [13] while the asymptotic analysis curve is generated using [9, eq. (32)] (after correcting 2 a typo).…”

Section: Unified Closed-form Aser Expression For 2-hop Caf Multi-relamentioning

confidence: 99%

“…Although the development in [16] is interesting and their MGF approach can be applied to a wide range of fading environments, the resulting integral expressions are often too complicated to compute or very time-consuming (due to the need to evaluate a nested two-fold integral term with complicated arguments that includes infinite series in some cases). To circumvent this difficulty, some authors have developed bounds for the half-harmonic mean (HM) MGF of end-to-end SNR of CAF multi-relay networks in Rayleigh [6][10], Nakagami-m [11] [12] and Rice [13] fading environments. In [9], Ribeiro et.…”

Section: Introductionmentioning

confidence: 99%

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2012

IJCNC

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This article develops an extremely simple and tight closed-form approximation for the moment generating function (MGF) of signal-to-noise ratio (SNR) for two-hop amplify-and-forward relayed paths over generalized fading environments. The resulting expression facilitates efficient analysis of twohop cooperative amplify-and-forward (CAF) multi-relay networks over a myriad of stochastic channel models (including mixed-fading scenarios where fading statistics of distinct links in the relayed path may be from different family of distributions). The efficacy of our proposed MGF expression for computing the average symbol error rate (ASER), outage probability, and the ergodic capacity (with limited channel side-information among cooperating nodes) is also studied. Numerical results indicate that the proposed MGF expression tightly approximates the exact MGF formulas and outperforms the existing MGF of lower and upper bounds of the half-harmonic mean (HM) SNR, while overcoming the difficulties associated in deriving an

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Section: Introductionmentioning

confidence: 60%

Section: Nakagami-m Fadingmentioning

confidence: 99%

Section: Unified Closed-form Aser Expression For 2-hop Caf Multi-relamentioning

confidence: 99%

Section: Unified Closed-form Aser Expression For 2-hop Caf Multi-relamentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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2012

IJCNC

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Ergodic Channel Capacity Analysis of Downlink in the Hybrid Satellite-Terrestrial Cooperative System

Zhao

Xie

Chen

et al. 2017

Wireless Pers Commun

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In this paper, the ergodic channel capacity of the downlink is analyzed for a hybrid satellite-terrestrial cooperative system, which consists of a satellite (the source), a mobile terminal (the destination), and several gap fillers (the relays) located at the ground. The links between the satellite and the relays and the link between the satellite and the destination experience independent shadowed Rician fading, and the links between the relays and the destination experience Rayleigh fading. The maximal ratio combining technique is used at the destination to combine the direct signal received from the satellite and the relayed signals from relays with different cooperative protocols, namely amplifyand-forward (AF) and decode-and-forward (DF). The moment generating function (MGF)-based approach is adopted to derive the closed-form expressions of the ergodic downlink channel capacity of the hybrid satellite-terrestrial cooperative system. The numerical results are compared with Monte Carlo simulations and numerical results calculated with the existing analytical expressions. Comparison results show that the analytical expression derived with the MGF-based approach can achieve a higher accuracy in the low signal-tonoise ratio (SNR) regime for the single relay scenario, and significantly reduce the computational complexity with a little loss of accuracy for multiple relays scenario. On other hand, the ergodic downlink channel capacity of the hybrid satellite-terrestrial DF cooperative system is generally higher than that of the AF cooperative system. Moreover, the ergodic channel capacity of the hybrid satellite-terrestrial cooperative system decreases as the number of participating relays increases, which can be overcome using the best relay selection strategy. In addition, the ergodic downlink channel capacity of the hybrid satellite-terrestrial cooperative system increases when the channel condition of the link between the satellite and the relay goes better, and is larger than that of the no relay land mobile satellite system when the transmitted SNR is below a certain value.

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