$N{\ast}$Nakagami: A Novel Stochastic Model for Cascaded Fading Channels

Karagiannidis, George K.; Sagias, N.C.; Mathiopoulos, P. Takis

doi:10.1109/tcomm.2007.902497

Cited by 331 publications

(263 citation statements)

References 20 publications

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“…The aim of this section is to evaluate and to illustrate the derived theoretical approximations given in (17), (24), (25), (36), and (37) as well as to investigate their accuracy. The correctness of the approximated analytical results is confirmed by evaluating the statistics of the waveforms generated by utilizing the sum-of-sinusoids (SOS) method [46].…”

Section: Numerical Resultsmentioning

confidence: 99%

“…To model fading channels under NLOS propagation conditions in relay-based M2M communication systems, the double Rayleigh distribution is the appropriate choice (see, e.g., [34,35] and the references therein). Motivated by the applications of the double Rayleigh channel model, a generalized channel model referred to as the N * Nakagami channel model has been proposed in [36]. Furthermore, an extension from the double Rayleigh channel model to the double Rice channel model that is based on the assumption of line-of-sight (LOS) propagation conditions has been proposed in [37].…”

Section: Introductionmentioning

confidence: 99%

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Dual-Hop Amplify-and-Forward Relay Systems with EGC over M2M Fading Channels Under LOS Conditions: Channel Statistics and System Performance Analysis

Talha¹,

Pätzold²

2013

Vehicular Technologies - Deployment and Applications

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Dual-Hop Amplify-and-Forward Relay Systems with EGC over M2M Fading Channels Under LOS Conditions http://dx.doi. org/10.5772/55333 201 in parallel between the source mobile station and the destination mobile station, as illustrated in Fig. 1. It can be seen in this figure that the direct transmission link from the source mobile station to the destination mobile station is also unobstructed. It is assumed that all mobile stations in the network, i.e., the source mobile station, the destination mobile station, and the K mobile relays do not transmit and receive a signal at the same time in the same frequency band. This can be achieved by using the time-division multiple-access (TDMA) based amplify-and-forward relay protocols proposed in [41,42]. Thus, the signals from the K + 1 diversity branches in different time slots can be combined at the destination mobile station using EGC.Let us denote the signal transmitted by the source mobile station as s(t). Then, the signal r (0) (t) received at the destination mobile station from the direct transmission link between the source mobile station and the destination mobile station can be written asρ (t)s(t) + n (0) (t)where µρ (t) models the complex channel gain of the fading channel from the source mobile station to the destination mobile station under LOS propagation conditions. The non-zero-mean complex Gaussian process µ source mobile station to the destination mobile station, i.e., µ (0) ρ (t) = µ (0) (t) + m (0) (t). In addition, n (0) (t) denotes a zero-mean additive white Gaussian noise (AWGN) process with variance N 0 /2, where N 0 is the noise power spectral density.Similarly, we can express the signal r (k) (t) received from the kth diversity branch at the destination mobile station aswhere ς (k) ρ (t) (k = 1, 2, . . . , K) represents the complex channel gain of the kth subchannel from the source mobile station to the destination mobile station via the kth mobile relay under LOS propagation conditions. Furthermore, n (k) T (t) ∀ k = 1, 2, . . . , K is the total noise in the link from the source mobile station to the destination mobile station via the kth mobile relay. This noise term is analyzed below.Each fading process ς (2) is modeled as a weighted non-zero-mean complex double Gaussian process of the formfor k = 1, 2, . . . , K. In (3), each µ (i) ρ (t) is a non-zero-mean complex Gaussian process. For all odd superscripts i, i.e., i = 2k − 1 = 1, 3, . . . , (2K − 1), the Gaussian process µ (i) ρ (t) describes the sum of the scattered component µ (i) (t) and the LOS component m (i) (t) of the ith subchannel between the source mobile station and the kth mobile relay, i.e., µ (i) ρ (t) = µ (i) (t) + m (i) (t). Whereas, for all even superscripts i, i.e., i = 2k = 2, 4, . . . , 2K, the Gaussian process µ (i) ρ (t) denotes the sum of the scattered component µ (i) (t) and the LOS component m (i) (t) of the ith subchannel between the kth mobile relay and the destination mobile station. Each scattered component µ (i) (t) (i = 0, 1, 2, . . . , 2K)...

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Section: Numerical Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Dual-Hop Amplify-and-Forward Relay Systems with EGC over M2M Fading Channels Under LOS Conditions: Channel Statistics and System Performance Analysis

Talha¹,

Pätzold²

2013

Vehicular Technologies - Deployment and Applications

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“…Here, , and represent, respectively, source-to-destination ( → ), source-to-relay ( → ) and relay-to-destination ( → ) links' complex quasistatic fading coefficients whose magnitudes ℎ = , ℎ = | |, ℎ = follow cascaded Rayleigh distribution. These magnitudes are assumed to be the product of statistically independent, but not necessarily identically distributed Rayleigh random variables [9]. Specifically, we …”

Section: System Modelmentioning

confidence: 99%

Novel Distributed Space-Time Trellis Codes for Relay Systems over Cascaded Rayleigh Fading

2010

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Abstract-In this letter, we consider the deployment of distributed space-time trellis codes (STTCs) for user cooperation. We derive a pairwise error probability (PEP) expression for distributed STTCs over cascaded Rayleigh fading channels. Using the derived PEP expression, we determine a code design criterion and propose novel 4-/8-/16-state 4-PSK and 8-/16-state 8-PSK distributed STTCs through a systematic code search. We confirm the superiority of the proposed codes through extensive MonteCarlo simulations.Index Terms-Error rate performance, distributed space-time coding, amplify-and-forward relaying, cascaded Rayleigh fading channels.

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“…Such products of random variables have also been found to be useful for analyzing the performance of multihop systems [12]. In an effort to generalize the research work relate to cascaded fading mentioned earlier, the N x Nakagami-m distribution developed as the product of N statistically independent, but not necessarily identically distributed, Nakagami-m RVs in [13]. In a similar generalization cascaded Weibull fading channel model has been developed in [14].…”

Section: Introductionmentioning

confidence: 99%

“…In a similar generalization cascaded Weibull fading channel model has been developed in [14]. The closed form expressions of cumulative distribution function (CDF) and MGF in terms of MeijerG function were presented in [13] to compute outage probability and average bit error probability (ABEP), respectively. The closed form expression for PDF of cascaded Weibull fading channel model and channel capacity have also been derived in terms of MeijerG function in [14].…”

Section: Introductionmentioning

confidence: 99%

On the Performance Analysis of Wireless Receiver in Cascaded Fading Channel

Malhotra¹,

Sharma²,

Kaler³

2009

African Journal of ICT

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Abstract-In this paper, we provide a unified analysis for wireless system over cascaded fading channels modeled either by cascaded Nakagami-m or Weibull fading models. These cascade fading models are developed by the product of independent Nakagami-m or Weibull random variables, which are not necessary identically distributed. The performance measures such as amount of fading, average bit error rate, and signal outage are computed in this analysis. We first use the Padé approximation (PA) technique to find simple to evaluate rational expressions for the moment generating function (MGF) of output signal-to-noise ratio (SNR), unlike previously derived intricate expressions in terms of MeijerG function for cascaded Nakagami-m fading channel. Rational expressions for the MGF of the cascaded Weibull random variable are also computed to provide new set of performance results. Using these rational expressions, we analyze the performance of wireless receivers under a range of representative channel fading conditions using both cascaded fading models. To verify the correctness of the proposed rational expression formulation numerical and computer simulations has been done, which shows perfect match.

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$N{\ast}$Nakagami: A Novel Stochastic Model for Cascaded Fading Channels

Cited by 331 publications

References 20 publications

Dual-Hop Amplify-and-Forward Relay Systems with EGC over M2M Fading Channels Under LOS Conditions: Channel Statistics and System Performance Analysis

Dual-Hop Amplify-and-Forward Relay Systems with EGC over M2M Fading Channels Under LOS Conditions: Channel Statistics and System Performance Analysis

Novel Distributed Space-Time Trellis Codes for Relay Systems over Cascaded Rayleigh Fading

On the Performance Analysis of Wireless Receiver in Cascaded Fading Channel

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