The effect of having unequal branch gains practical predetection diversity systems for mobile radio

Halpern, S.W.

doi:10.1109/t-vt.1977.23662

Cited by 39 publications

(9 citation statements)

References 7 publications

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“…An exact result can be obtained for the average LCR when M = 2. The PDF of the sum of the envelopes of two Rayleighfaded desired branch signals, X 0,1 and X 0,2 , is known [13],…”

Section: Average Lcrmentioning

confidence: 99%

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Level Crossing Rate and Average Fade Duration of EGC Systems With Cochannel Interference in Rayleigh Fading

Hadzi-Velkov

2007

IEEE Trans. Commun.

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Both the first-order signal statistics (e.g. the outage probability) and the second-order signal statistics (e.g. the average level crossing rate, LCR, and the average fade duration, AFD) are important design criteria and performance measures for the wireless communication systems, including the equal gain combining (EGC) systems in presence of the cochannel interference (CCI). Although the analytical expressions for the outage probability of the coherent EGC systems exposed to CCI and various fading channels are already known, the respective ones for the average LCR and the AFD are not available in the literature. This paper presents such analytical expressions for the Rayleigh fading channel, which are obtained by utilizing a novel analytical approach that does not require the explicit expression for the joint PDF of the instantaneous output signalto-interference ratio (SIR) and its time derivative. Applying the characteristic function method and the Beaulieu series, we determined the average LCR and the AFD at the output of an interference-limited EGC system with an arbitrary diversity order and an arbitrary number of cochannel interferers in forms of an infinite integral and an infinite series. For the dual diversity case, the respective expressions are derived in closed forms in terms of the gamma and the beta functions.Index Terms-Level crossing rate, average fade duration, cochannel interference, equal gain combining, Beaulieu series, Rayleigh fading.

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“…An exact result can be obtained for the average LCR when M = 2. The PDF of the sum of the envelopes of two Rayleighfaded desired branch signals, X 0,1 and X 0,2 , is known [13],…”

Section: Average Lcrmentioning

confidence: 99%

“…From the specialized solutions for the OP and the average LCR for M = 1 and M = 2, (21), (22), (37) and (38), one can conclude by induction that z and β appear together in the general expression for an arbitrary M , forming the ratio z/β. Consequently, the OP is calculated using (19c) and (13) as…”

Section: Numeric Examplesmentioning

confidence: 99%

Level Crossing Rate and Average Fade Duration of EGC Systems With Cochannel Interference in Rayleigh Fading

Hadzi-Velkov

2007

IEEE Trans. Commun.

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“…In the interference-free case, MRC maximizes the post-combiner signal-to-noise ratio (SNR) by weighting the signals received at the different antennas (or equivalently, branches) according to the respective per-antenna SNRs, followed by the coherent summation of the weighted signals. Like other diversity combining schemes, MRC suffers substantial performance losses when practical non-idealities such as average reception-quality imbalance [4] and fading correlation [5] are taken into account. These performance losses are amplified further by interference, which has become a key issue with the denser usage of wireless devices; taking place particularly in non-licensed spectrum due both to offloading of cellular traffic [6] and the relentless increase of wireless consumer devices [7].…”

Section: Introductionmentioning

confidence: 99%

Dual-Branch MRC Receivers Under Spatial Interference Correlation and Nakagami Fading

Tanbourgi

Dhillon

Andrews

et al. 2014

IEEE Trans. Commun.

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Abstract-Despite being ubiquitous in practice, the performance of maximal-ratio combining (MRC) in the presence of interference is not well understood. Because the interference received at each antenna originates from the same set of interferers, but partially de-correlates over the fading channel, it possesses a complex correlation structure. This work develops a realistic analytic model that accurately accounts for the interference correlation using stochastic geometry. Modeling interference by a Poisson shot noise process with independent Nakagami fading, we derive the link success probability for dual-branch interferenceaware MRC. Using this result, we show that the common assumption that all receive antennas experience equal interference power underestimates the true performance, although this gap rapidly decays with increasing the Nakagami parameter mI of the interfering links. In contrast, ignoring interference correlation leads to a highly optimistic performance estimate for MRC, especially for large mI. In the low outage probability regime, our success probability expression can be considerably simplified.Observations following from the analysis include: (i) for small path loss exponents, MRC and minimum mean square error combining exhibit similar performance, and (ii) the gains of MRC over selection combining are smaller in the interference-limited case than in the well-studied noise-limited case.

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“…The probability distribution function (pdf) of a dual diversity EGC output in Rayleigh fading [2]. Cumulative distribution function (cdf) of the output envelope of dual-diversity EGC over independent non-identical Rayleigh paths [3]. Cdf and pdf of the output SNR of dualdiversity EGC over independent identical Rayleigh paths as well as the corresponding ABER for coherent binary signals [4].…”

Section: Introductionmentioning

confidence: 99%

Impact of Noise Imbalance on the Performance of Predetection Dual-EGC Receivers Over Rayleigh Fading Channels

Patel

Chaturvedi

2007

IEEE GLOBECOM 2007-2007 IEEE Global Telecommunications Conference

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A new expression for the probability density function of the signal-to-noise ratio (SNR) at the output of a predetection dual-equal-gain-combining (dual-EGC) receiver over independent but non-identical Rayleigh fading paths with different noise levels is derived. A closed-form expression for the average bit error rate (ABER) for coherent binary modulation schemes is also derived. The effect of the degree of noise imbalance on ABER is studied. From the results we determine the ranges of noise imbalance for a given average SNR per path over which the performance of predetection dual-EGC is better or worse than SC and single path receivers.

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The effect of having unequal branch gains practical predetection diversity systems for mobile radio

Cited by 39 publications

References 7 publications

Level Crossing Rate and Average Fade Duration of EGC Systems With Cochannel Interference in Rayleigh Fading

Level Crossing Rate and Average Fade Duration of EGC Systems With Cochannel Interference in Rayleigh Fading

Dual-Branch MRC Receivers Under Spatial Interference Correlation and Nakagami Fading

Impact of Noise Imbalance on the Performance of Predetection Dual-EGC Receivers Over Rayleigh Fading Channels

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