Exact and asymptotic PEP derivations for various quasi‐orthogonal space–time block codes

Choi, Minhwan; Lee, Hoojin; Nam, Haewoon

doi:10.1049/el.2013.2768

Cited by 4 publications

(5 citation statements)

References 11 publications

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“…The result for correlated PEP (23) is of a similar form to that of the uncorrelated PEP (16). The difference between these 2 expressions is that the second argument of MGF M k is the squared Euclidean distance d k ðL;LÞ 2 for the uncorrelated PEP, whereas it is the eigenvalue product ν j η k for the correlated PEP.…”

Section: Correlated Nakagami-q Error Performancementioning

confidence: 82%

“…The 2 × N r USTLD model was recently extended to consider any arbitrary N t transmit antennas by Patel et al 14 It is noted that N t × N r USTLD systems are comparable to existing quasi-orthogonal STBC (Q-STBC) systems with more than 2 transmit antennas. [15][16][17] The use of N t > 2 transmit antennas allows Q-STBC systems to achieve more transmit antenna diversity, improving error performance. However, Q-STBC systems use more than 2 time slots to transmit the same binary information.…”

Section: Introductionmentioning

confidence: 99%

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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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Section: Correlated Nakagami-q Error Performancementioning

confidence: 82%

Section: Introductionmentioning

confidence: 99%

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

Patel

Quazi

2018

Int J Communication

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“…and by adopting the derivation procedure in [5], the following closedform formula can be derived as [7, (3.211)]: As a special case with u = v ≠ 0 (compare p = q), (9) can be further simplified as [5] is achieved by the PS-QSTBC in Rayleigh fading channels, as can be seen from the power exponent, which is due to the fact that the asymptotic diversity order, d ∞ , can be expressed as…”

Section: Qstbc With Power Scalingmentioning

confidence: 99%

“…Hence, we have

P false(S false\to \overset{false^}{bold-italicS} false) = \frac{1}{π} \int_{0}^{π / 2} {[(1 + \frac{γ_{s} u}{4 \sin^{2} θ}) (1 + \frac{γ_{s} v}{4 \sin^{2} θ})]}^{- 2 N_{r}} normald θ

and by adopting the derivation procedure in [5], the following closed‐form formula can be derived as [7, (3.211)]:

\begin{matrix} right leftthickmathspace.5em \\ scriptP (bold-italicS \to \hat{S}) & = \frac{B (4 N_{r} + \frac{1}{2}, \frac{1}{2})}{2 π {(1 + p)}^{2 N_{r}} {(1 + q)}^{2 N_{r}}} \\ \times F_{1} (\frac{1}{2}; 2 N_{normalr}, 2 N_{normalr}; 4 N_{normalr} + 1; \frac{1}{1 + p}, \frac{1}{1 + q}) \end{matrix}

where B ( · , · ) is the beta function [7, (8.380)], F 1 ( · ; · , · ; · ; · , · ) is the Appell hypergeometric function [8, (07.36.02.0001.01)], γ s u /4 = p and γ s v /4 = q . As a special case with u = v ≠ 0...…”

Section: Exact Pep Derivation Of Ps‐qstbcmentioning

confidence: 99%

“…Since there has been no attempt to evaluate the error performance of PS-QSTBC, we aim at deriving the exact closed-form formula for the pairwise error probability (PEP) of the PS-QSTBC in Rayleigh fading channels and thus to verify the full diversity achievability, where the fundamental derivations are based on the present authors' previous work [5]. Using the derived PEP expression, we formulate the union upper bound on the BER and validate our analytical results through Monte Carlo simulations.…”

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confidence: 99%

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Error rate analysis of quasi‐orthogonal space–time block codes with power scaling

2014

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The exact pairwise error probability (PEP) of quasi-orthogonal spacetime block codes (QSTBCs) employing the power scaling technique in quasi-static Rayleigh fading channels is derived. By utilising the derived PEP formula, the tight union upper bound on the bit error rate (BER) for the QSTBC with power scaling (PS-QSTBC) is evaluated and compared with the Monte Carlo simulation results to verify the analytical results that full diversity rate-1 transmission can be achieved. Furthermore, considering the closed-loop system, the optimal value of the power scaling factor is also investigated in terms of minimising the union bound on the BER.

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Asymptotic error rate approximation of amplify-and-forward cooperative diversity network with relay selection

Choi

Nam

Lee

2015

2015 International Conference on Information and Communication Technology Convergence (ICTC)

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Exact and asymptotic PEP derivations for various quasi‐orthogonal space–time block codes

Cited by 4 publications

References 11 publications

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

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

Error rate analysis of quasi‐orthogonal space–time block codes with power scaling

Asymptotic error rate approximation of amplify-and-forward cooperative diversity network with relay selection

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