On 64-APSK constellation design optimization

Liolis, Konstantinos; Alagha, Nader

doi:10.1109/spsc.2008.4686709

Cited by 31 publications

(33 citation statements)

References 6 publications

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“…For a given modulation order M , an APSK constellation is characterized by the number of rings, the number of signals in each ring, the relative radii of the rings, and the phase offset of the rings relative to each other. In [2] and [3] these parameters were optimized using a technique based on information theory. In particular, the achievable information rate was computed for each choice of APSK parameters, and from these information rates, the optimal parameters were identified.…”

Section: Introductionmentioning

confidence: 99%

“…However, these achievable information rates are not equal to the capacity of the channel, because achieving capacity requires that the optimization permit a nonuniform distribution of symbols. In [3], a nonuniform symbol distribution was considered and optimal symbol probabilities were determined by maximizing the mutual information. However, [3] does not specify how these distributions can be achieved in a practical system.…”

Section: Introductionmentioning

confidence: 99%

“…In [3], a nonuniform symbol distribution was considered and optimal symbol probabilities were determined by maximizing the mutual information. However, [3] does not specify how these distributions can be achieved in a practical system.…”

Section: Introductionmentioning

confidence: 99%

“…In this paper, we draw inspiration from the informationtheoretic optimization of APSK with given in [2], [3] and the practical shaping technique proposed in [5], [6]. We use information-theory to jointly optimize parameters used by both the APSK constellation and the shaping code.…”

Section: Introductionmentioning

confidence: 99%

“…From another perspective, it can be seen as an application of [5] and [6] to APSK modulation. Alternatively, it can be considered as an adaption of the optimization approach of [3] to the shaping strategy of [5] and [6].…”

Section: Introductionmentioning

confidence: 99%

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Constellation Shaping for Bit-Interleaved Coded APSK

Valenti

Xiang

2011

2011 IEEE International Conference on Communications (ICC)

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Abstract-This paper considers a technique for shaping a turbo-coded amplitude-phase shift keying (APSK) constellation. After bit-interleaving, a subset of the bits output by a binary turbo encoder are passed through a nonlinear shaping encoder. The bits at the output of the shaping encoder are more likely to be a zero than a one. These "shaping" bits are interleaved and used to select from among a plurality of subconstellations, while the unshaped bits are used to select the symbol within the subconstellation. Symbols from lower-energy subconstellations are selected more frequently than those from higher-energy subconstellations. Information rates are computed for a variety of APSK and shaping code parameters, in an effort to optimize these parameters. It is found that, in theory, shaping gains of slightly over 0.3 dB may be achieved with 16-APSK and 32-APSK in AWGN. Simulation results show the bit error performance of the constellation-shaping strategy with an actual turbo code. The BER results suggest that gains beyond 0.3 dB may be possible in AWGN when an iterative decoder is used, presumably due to the additional coding gain of the shaping code.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Constellation Shaping for Bit-Interleaved Coded APSK

Valenti

Xiang

2011

2011 IEEE International Conference on Communications (ICC)

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Performance analysis of M‐ary amplitude and phase shift keying uncoded space‐time labeling diversity with three transmit antennas in nonlinear Rician channels

Ayanda

2021

Trans Emerging Tel Tech

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This article investigates uncoded space-time labeling diversity (USTLD) with three transmit antennas schemes based on amplitude and phase shift keying (APSK) modulation. The proposed USTLD schemes are DVB-S2 and DVB-S2X standards compatible and provide robustness against nonlinear distortion for both Rician frequency-flat fast and quasi-static fading channels. Numerical analysis of the proposed schemes is derived based on pairwise error probability. The analytical results are validated by Monte Carlo simulations, which convergeaccurately at high signal-to-noise ratio. Furthermore, by adapting constellation structure between square quadratic amplitude modulations and concentric rings of APSK modulations, the author proposes mapper design for 16-APSK, 32-APSK, and 64-APSK modulations for USTLD using heuristic algorithm. Finally, the proposed USTLD schemes show bit error rate (BER) improvement over the existing two transmit USTLD scheme with error performance gain of 1.2 and 2.8 dB at a BER of 10 −6 for 16-APSK and 64-APSK USTLD scheme, respectively.

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Simplified evaluation of APSK error performance

2012

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An analytical evaluation of the performance of amplitude phase shift keying constellations in additive white Gaussian noise is performed and an expression to approximate the error probability is presented. The expression accounts for a number of symbols, equal to the number of concentric rings in the constellation. It is shown to significantly reduce the computational complexity associated with previously known error performance expressions, while closely predicting the error rates in the relevant signal-to-noise ratio range.Introduction: Amplitude phase shift keying (APSK) is a higher-order modulation scheme designed for efficient transmission over satellite channels due to its intrinsic robustness against non-linear amplifier distortions, as well as spectral efficiency. The second generation standard for digital video broadcasting via satellite (DVB-S2) adopts the APSK scheme in conjunction with other features [1].A union bound for the error performance of M-ary modulations in additive white Gaussian noise (AWGN) has been presented in [2]. This bound acts an upper limit for the symbol error rate of APSK modulations. In [3], the error performances of 16-and 32-APSK schemes were analyzed and tight error rate expressions were proposed. The expressions were derived based on symmetry and by including only the necessary error terms associated with the pair-wise probabilities of the symbols in the first quadrant of the constellations.In this paper, we further simplify the computational approach used in [3] and obtain good error rate approximations for the symbol error rate (SER) and bit error rate (BER) performance of APSK schemes in AWGN, as applied to the 64-APSK constellation.

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On 64-APSK constellation design optimization

Cited by 31 publications

References 6 publications

Constellation Shaping for Bit-Interleaved Coded APSK

Constellation Shaping for Bit-Interleaved Coded APSK

Performance analysis of M‐ary amplitude and phase shift keying uncoded space‐time labeling diversity with three transmit antennas in nonlinear Rician channels

Simplified evaluation of APSK error performance

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