New method of performance analysis for diversity reception with correlated Rayleigh-fading signals

Fang, Liquan; Bi, Guoan; Kot, Alex C.

doi:10.1109/25.892585

Cited by 37 publications

(10 citation statements)

References 8 publications

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“…$$ Substituting

{\mathbf{R}}_{N_R}

from (7) into (3), the equivalent correlated channel model is given as

{\overline{\overline{\mathbf{H}}}}_j=\sqrt{{\mathbf{Z}}^H\mathbf{BZ}}\kern0.3em {\mathbf{H}}_j,

=\sqrt{\mathbf{B}}{\hat{\mathbf{Z}}}_j\kern0.3em {\mathbf{H}}_j,

where

{\beta}_{i,i}\in \mathbf{B}

{\hat{\mathbf{Z}}}_j=\sqrt{{\mathbf{Z}}^H\mathbf{Z}}

and contains orthogonal entries. Based on the decorrelation transformation technique in Reference 11, it has been proved that the product

\left({\hat{\mathbf{Z}}}_j{\mathbf{H}}_j\right)

has i.i.d entries with the distribution

\mathbb{C}N\left(0,1\right)

. As a result of the transformation approach, the correlated channel can be analyzed as eigenvalue‐scaled versions of i.i.d branches.…”

Section: System Modelmentioning

confidence: 99%

“…The transformation of correlated channels based on eigenfilter decorrelation gives i.i.d channels. For i.i.d signals, the PDF in Nakagami-m fading channels has been expressed in (11) and the MGF can be defined as 3…”

Section: Error Performance Analysismentioning

confidence: 99%

“…In correlated USTLD channel, the diversity order of a pair of codewords is the exponent of SNR, 11 that is…”

Section: Diversity Receptionsmentioning

confidence: 99%

“…The effect of correlation on receive antenna diversity scheme considered for single-input dual-correlated Rayleigh fading channel has been reported in the literature. 11 The authors showed that an orthogonal transformation can be applied to identical dual-correlated Rayleigh fading channels to generate equivalent uncorrelated, non-identical channels for statistical analysis. Also, the proposed transformation technique has recently been applied to cross QAM signal in a single-input multiple-output (SIMO) system 12 over varied dual correlated fading distributions in Rayleigh, Rician, Nakagami-m and Nakagami-q channels.…”

Section: Introductionmentioning

confidence: 99%

“…The effect of correlation on receive antenna diversity scheme considered for single‐input dual‐correlated Rayleigh fading channel has been reported in the literature 11 . The authors showed that an orthogonal transformation can be applied to identical dual‐correlated Rayleigh fading channels to generate equivalent uncorrelated, non‐identical channels for statistical analysis.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Eigenfilter‐based analysis of uncoded space‐time labeling diversity with three transmit antennas in correlated Nakagami‐mfading channels

Ayanda

Solwa

Abdulsalam

2023

Trans Emerging Tel Tech

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In this paper, three‐transmit antennas uncoded space‐time labeling diversity (USTLD) scheme in arbitrarily correlated Nakagami‐m$$ m $$ fading channels are presented. The authors apply eigenfilter decomposition technique to synthesize the average branch signal‐to‐noise ratio (SNR), while deriving the theoretical probability density function (PDF) for the channel. The analytical mean bit error rate (BER) for the correlated channel was formulated using the moment generating function based on a virtual branch approach. Monte Carlo simulations are used to validate the derived analytical expression, which converge tightly at high values of SNR. Based on the decorrelation transformation technique, a further investigation of the USTLD scheme was performed in identically distributed fading channels. The results in this paper indicate that the best error performance is observed when the antenna spacings are 0.4λ$$ \lambda $$ for the 16QAM and 64QAM constellations respectively, where λ$$ \lambda $$ is the antenna spacing distance. Simulations for the USTLD scheme with different values of m$$ m $$ indicate that as the value for m$$ m $$ increases, the error performance improved. Additionally, it can be seen that in similar conditions, the USTLD scheme in the identically distributed fading channels had illustrated an improved error performance over the traditional multiple‐input multiple‐output (MIMO) scheme respectively.

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“…$$ Substituting

{\mathbf{R}}_{N_R}

from (7) into (3), the equivalent correlated channel model is given as

{\overline{\overline{\mathbf{H}}}}_j=\sqrt{{\mathbf{Z}}^H\mathbf{BZ}}\kern0.3em {\mathbf{H}}_j,

=\sqrt{\mathbf{B}}{\hat{\mathbf{Z}}}_j\kern0.3em {\mathbf{H}}_j,

where

{\beta}_{i,i}\in \mathbf{B}

{\hat{\mathbf{Z}}}_j=\sqrt{{\mathbf{Z}}^H\mathbf{Z}}

and contains orthogonal entries. Based on the decorrelation transformation technique in Reference 11, it has been proved that the product

\left({\hat{\mathbf{Z}}}_j{\mathbf{H}}_j\right)

has i.i.d entries with the distribution

\mathbb{C}N\left(0,1\right)

. As a result of the transformation approach, the correlated channel can be analyzed as eigenvalue‐scaled versions of i.i.d branches.…”

Section: System Modelmentioning

confidence: 99%

Section: Error Performance Analysismentioning

confidence: 99%

“…In correlated USTLD channel, the diversity order of a pair of codewords is the exponent of SNR, 11 that is…”

Section: Diversity Receptionsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Eigenfilter‐based analysis of uncoded space‐time labeling diversity with three transmit antennas in correlated Nakagami‐mfading channels

Ayanda

Solwa

Abdulsalam

2023

Trans Emerging Tel Tech

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Error performance of Uncoded Space Time Labelling Diversity in spatially correlated Nakagami‐q channels

Patel

Quazi

2018

Int J Communication

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Summary Greater spectral efficiency has recently been achieved for Uncoded Space Time Labelling Diversity (USTLD) systems by increasing the number of antennas in the transmit antenna array. However, due to constrained physical space in hardware, the use of more antennas can lead to degradation in error performance due to correlation. Thus, this paper studies the effects of spatial correlation on the error performance of USTLD systems. The union bound approach, along with the Kronecker correlation model, is used to derive an analytical expression for the average bit error probability (ABEP) in the presence of Nakagami‐q fading. This expression is validated by the results of Monte Carlo simulations, which shows a tight fit in the high signal‐to‐noise ratio (SNR) region. The degradation in error performance due to transmit and receive antenna correlation is investigated independently. Results indicate that transmit antenna correlation in the USTLD systems investigated (3 × 3 8PSK, 2 × 4 16PSK, 2 × 4 16QAM, and 2 × 4 64QAM) causes a greater degradation in error performance than receive antenna correlation. It is also shown that 2 × 4 USTLD systems are more susceptible to correlation than comparable space‐time block coded systems for 8PSK, 16PSK, 16QAM, and 64QAM.

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Weak GPS Signal Acquisition Using Antenna Diversity

2015

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GPS signal acquisition is challenging in attenuating and multipath fading environments. Standard methods, such as extending the coherent integration time to achieve more processing gain, are not always feasible for acquiring weak signals using unaided receivers. Spatial antenna diversity is used for indoor applications to mitigate the multipath fading effect in the acquisition process. Equal gain combining of two received signals is considered in a standalone processing strategy. The main novelty of this paper is to investigate improvement in acquisition time by utilizing antenna diversity for indoor scenarios. A detection threshold for which mean acquisition time is minimized is numerically shown to exist. The importance of acquisition time variance is discussed and diversity gain is evaluated. Theoretical analysis is compared with Monte Carlo simulations and real GPS data. Results show that antenna diversity improves detection probability, reduces false alarms and mean and variance of acquisition time in fading environments. Copyright © 2015 Institute of Navigation

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New method of performance analysis for diversity reception with correlated Rayleigh-fading signals

Cited by 37 publications

References 8 publications

Eigenfilter‐based analysis of uncoded space‐time labeling diversity with three transmit antennas in correlated Nakagami‐mfading channels

Eigenfilter‐based analysis of uncoded space‐time labeling diversity with three transmit antennas in correlated Nakagami‐mfading channels

Error performance of Uncoded Space Time Labelling Diversity in spatially correlated Nakagami‐q channels

Weak GPS Signal Acquisition Using Antenna Diversity

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