Performance of Digital Modulation in Double Nakagami-m Fading Channels with MRC Diversity

Wongtrairat, Wannaree; Supnithi, Pornchai

doi:10.1587/transcom.e92.b.559

Cited by 40 publications

(30 citation statements)

References 20 publications

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“…The parameter a equals 1 or 2 for M-ary PSK modulation schemes when M = 2 or M > 2, respectively, whereas for all M-ary PSK modulation schemes g = sin 2 (π/M) [39].…”

Section: Average Bepmentioning

confidence: 99%

“…The authors of [38] have explored the performance of intervehicular cooperative schemes, and they proposed optimum power allocation strategies assuming cascaded Nakagami fading. The performance of several digital modulation schemes over double Nakagami-m channels with MRC diversity has been studied in [39], whereas the BEP analysis of M-ary phase shift keying (PSK) modulated signals over double Rayleigh channels with EGC can be found in [40].…”

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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“…The parameter a equals 1 or 2 for M-ary PSK modulation schemes when M = 2 or M > 2, respectively, whereas for all M-ary PSK modulation schemes g = sin 2 (π/M) [39].…”

Section: Average Bepmentioning

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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“…Under line-ofsight (LOS) propagation conditions, double Rice processes effectively model M2M fading channels [18]. The authors of [19] have recently studied the performance of digital modulation over double Nakagami-m fading channels with MRC diversity. However, to the best of our knowledge, the statistical analysis of double Rayleigh and/or double Nakagami-m fading channels with EGC has not been carried out so far.…”

Section: Introductionmentioning

confidence: 99%

On the Statistical Properties of Equal Gain Combining over Mobile-to-Mobile Fading Channels in Cooperative Networks

Talha

Primak

Pätzold

2010

2010 IEEE International Conference on Communications

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Abstract-This article deals with the statistical analysis of equal gain combining (EGC) over mobile-to-mobile (M2M) fading channels in a dual-hop amplify-and-forward relay network. Here, we analyze narrowband M2M fading channels under nonline-of-sight (NLOS) propagation conditions. It is assumed that there exist K diversity branches between the source mobile station and the destination mobile station via K mobile relays. The received signal envelope at the output of the equal gain (EG) combiner is thus modeled as a sum of K double Rayleigh processes. It has been shown that the evaluation of the probability density function (PDF) of this sum process using the characteristic function (CF) is rather intractable. However, the target PDF can efficiently be approximated by the gamma distribution. Exploiting the properties of the gamma distribution, the cumulative distribution function (CDF), the level-crossing rate (LCR), and the average duration of fades (ADF) of the sum process are also approximated. The approximation of the mentioned sum process by a gamma distributed process makes it possible to provide simple and closed-form analytical expressions for the aforementioned statistical quantities. The validity of the obtained analytical expressions is confirmed by simulations. The presented results can easily be utilized in the performance analysis of EGC over relay-based M2M fading channels.

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“…A straightforward extension of the double Rayeigh channel model to the double Rice channel model for relay-based M2M fading channels under line-of-sight (LOS) propagation conditions is presented in [18]. A study on the performance of digital modulation schemes over double Nakagami-m fading channels with MRC diversity is available in [19]. However, there is a lack of information in the literature regarding the performance of digital modulation schemes over double Rayleigh and/or double Nakagami-m fading channels with EGC.…”

Section: Introductionmentioning

confidence: 99%

Performance Analysis of M-Ary PSK Modulation Schemes over Multiple Double Rayleigh Fading Channels with EGC in Cooperative Networks

Talha

Pätzold

Primak

2010

2010 IEEE International Conference on Communications Workshops

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Abstract-This article studies the performance of M -ary phase shift keying (PSK) modulation schemes over mobile-to-mobile (M2M) fading channels with equal gain combining (EGC) in cooperative networks. The frequency-nonselective M2M fading channels are modeled assuming non-line-of-sight (NLOS) propagation conditions. Furthermore, a dual-hop amplify-and-forward relay type cooperative network is taken into consideration here. It is assumed that K diversity branches are present between the source mobile station and the destination mobile station via K mobile relays. The performance of M -ary PSK modulation schemes is analyzed by evaluating the average bit error probability (BEP). We have derived a simple analytical approximation for the average BEP of M -ary PSK modulation schemes over relaybased M2M fading channels with EGC. The validity and accuracy of the analytical approximation is confirmed by simulations. The presented results show that in a dual-hop relay system with EGC, there is a remarkable improvement in the diversity gain as the number of diversity branches K increases.

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Performance of Digital Modulation in Double Nakagami-m Fading Channels with MRC Diversity

Cited by 40 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

On the Statistical Properties of Equal Gain Combining over Mobile-to-Mobile Fading Channels in Cooperative Networks

Performance Analysis of M-Ary PSK Modulation Schemes over Multiple Double Rayleigh Fading Channels with EGC in Cooperative Networks

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