The effect of Gaussian error in selection diversity combiners

Annamalai, A.

doi:10.1002/wcm.28

Cited by 16 publications

(15 citation statements)

References 20 publications

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“…(20)] shows that with a completely decorrelated fade estimate the error probability approaches that of a system with no diversity, whereas we show that BDPSK is insensitive to channel estimation errors (see (119) in this paper). References [12], and [13] extend the results of [11] for selection combining (SC, i.e., GDC ) and GDC schemes, respectively, and for various modulation/demodulation formats. We address the following main limitations of [12] and [13].…”

Section: Performance Analysis Of Linear Modulation Schemes With Genermentioning

confidence: 53%

Performance Analysis of Linear Modulation Schemes With Generalized Diversity Combining on Rayleigh Fading Channels With Noisy Channel Estimates

Annavajjala

Cosman

Milstein

2007

IEEE Trans. Inform. Theory

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Generalized diversity combining (GDC), also known as hybrid selection/maximal ratio combining or generalized selection combining, is a low-complexity diversity combining technique by which a fixed subset of a large number of available diversity channels is chosen and then combined using the rules of maximal ratio combining. In this paper, we analyze the performance of GDC on time-correlated Rayleigh fading channels with noisy channel estimates. We derive expressions for the probability of error for various linear modulation schemes with coherent detection, and discuss the conditions under which the analysis can be extended to noncoherent and differentially coherent receiver structures. Throughout the paper, using a fundamental approach to obtain the decision statistic at the combiner output, a number of new expressions for the error probabilities are obtained in a rigorous way, along with a presentation of their performance with channel estimation errors. The final expressions have roughly the same complexity of evaluation as that for the channel with only additive Gaussian noise. Our results correct various inaccuracies in the literature, and show that coherent receivers based on imperfectly estimated channel knowledge incur a significant performance loss.

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Section: Performance Analysis Of Linear Modulation Schemes With Genermentioning

confidence: 53%

Performance Analysis of Linear Modulation Schemes With Generalized Diversity Combining on Rayleigh Fading Channels With Noisy Channel Estimates

Annavajjala

Cosman

Milstein

2007

IEEE Trans. Inform. Theory

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“…Again, we also observe that as ρ → 0, the average probability of error P SC → 0.5, independent of the amount of diversity present in the channel. However, the optimistic lower-bound analysis of [11] and [12] shows that the average probability of error P SC → P 1 (γ), as ρ → 0, resulting in orders of magnitude difference in the true performance prediction.…”

Section: Selection Combiningmentioning

confidence: 96%

“…Tomiuk et al,in [10], used the SNR statistics derived by Gans in [9], to average the conditional probability of error, and thus, to obtain the average probability of error for the MRC diversity scheme. In [11] and [12], this idea was extended to SC and GSC diversity schemes, respectively, to derive the average error rates for various combinations of modulation and demodulation schemes.…”

Section: Introductionmentioning

confidence: 99%

Performance analysis of linear diversity-combining schemes on Rayleigh fading channels with binary signaling and Gaussian weighting errors

Annavajjala

Milstein

2005

IEEE Trans. Wireless Commun.

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In this paper, we analyze the error probability performance of maximal-ratio combining (MRC), equal-gain combining (EGC), selection combining (SC), and generalized-selection combining (GSC) diversity schemes with coherent binary phaseshift keying (BPSK) signaling on Rayleigh fading channels with Gaussian channel-estimation errors. We first show that, with weighting errors, averaging the conditional probability of error with the density function of the instantaneous signal-to-noise ratio (SNR) at the output of the combiner yields a lower bound on the exact probability of error. Later, we derive the exact probability of error for MRC, EGC, SC, and GSC diversity schemes and show that, for the case of nonnegative values of the in-phase correlation coefficient between the actual and the estimated channel gains, the exact probability of error with weighting errors is the same as that of the case with perfect channel estimation, but with the average SNR per diversity branch γ, for the case of perfect channel estimation, replaced by the effective SNR γ ρ , due to weighting errors. The effective SNR is a function of both γ and ρ, the magnitude of the normalized cross correlation between the actual and the estimated channel gains. Finally, we show that, as ρ → 0, the average probability of error approaches 0.5, irrespective of the order of diversity and the diversity-combining rule.

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“…Nakagami fading channels versus the normalized average SNR per branch. These curves have been generated by substituting (13) in [5, eqn. (9B.9)], with A set to equal 10 ln 10 23.026 to guarantee a discretization error of less than 10 −10 and with K = 15 and N = 30 to guarantee that the truncation error is negligible compared to the computed outage probability.…”

Section: Average Bit Error Probability Analysismentioning

confidence: 99%

MGF-based performance analysis of selection diversity with switching constraints in nakagami fading

Femenias

2006

IEEE Trans. Wireless Commun.

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This paper focuses on the performance evaluation of selection combining (SC) diversity with switching constraints over independent non-identically distributed (i.n.i.d.) Nakagamim fading channels. New closed-form expressions for the moment generating function (MGF) of the SC output signal-to-noise ratio (SNR) in Nakagami-m fading channels, as a function of channel decorrelation, have been obtained. These expressions have been the starting point to derive performance measures like average combined SNR, outage probability, and average bit error probability of various modulation schemes.Index Terms-Selection diversity, switching constraints, Nakagami fading, average combined SNR, outage probability, average bit error probability.

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The effect of Gaussian error in selection diversity combiners

Cited by 16 publications

References 20 publications

Performance Analysis of Linear Modulation Schemes With Generalized Diversity Combining on Rayleigh Fading Channels With Noisy Channel Estimates

Performance Analysis of Linear Modulation Schemes With Generalized Diversity Combining on Rayleigh Fading Channels With Noisy Channel Estimates

Performance analysis of linear diversity-combining schemes on Rayleigh fading channels with binary signaling and Gaussian weighting errors

MGF-based performance analysis of selection diversity with switching constraints in nakagami fading

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