Performance of circular QAM constellations with time varying phase noise

Tariq, M. Assad; Mehrpouyan, Hani; Svensson, Tommy

doi:10.1109/pimrc.2012.6362752

Cited by 11 publications

(6 citation statements)

References 17 publications

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“…For instance, the representation of the circular-QAM proposed in [33] in the amplitude-phase domain is close to a hexagonal lattice. Further, it has been shown in [33] that the circular-QAM realizes, in comparison to a conventional QAM, performance gains on PN channels. Similarly, it is worth studying the Gray-APSK proposed in [34] to provide a shaping gain for satellite communications.…”

Section: B Performance Of Constellations Based On Polar-latticesmentioning

confidence: 99%

“…It is interesting to mention that state-of-the-art approaches [5], [9], [33] on PN channels shape the constellations toward hexagonal and rectangular polar-lattices. For instance, the representation of the circular-QAM proposed in [33] in the amplitude-phase domain is close to a hexagonal lattice. Further, it has been shown in [33] that the circular-QAM realizes, in comparison to a conventional QAM, performance gains on PN channels.…”

Section: B Performance Of Constellations Based On Polar-latticesmentioning

confidence: 99%

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Design of Digital Communications for Strong Phase Noise Channels

Bicaïs

Doré

2020

IEEE Open J. Veh. Technol.

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To meet the requirements of beyond 5G networks, the significant amount of unused spectrum in sub-TeraHertz frequencies is contemplated for high-rate wireless communications. Yet, the performance of sub-TeraHertz systems is severely degraded by strong oscillator phase noise. We investigate in this paper the design of digital communications robust to phase noise. This problem is addressed in three steps: the characterization of the phase noise channel, the design of the optimum receiver, and the optimization of the modulation scheme. This paper proposes a joint performance and implementation optimization. First, we address the design of the demodulation scheme for phase noise channels and propose the polar metric, a soft-decision rule for symbol detection. It is shown that performance gains are achieved for coded and uncoded systems with valuable complexity reductions of the receiver. Second, we investigate the optimization of the modulation scheme for phase noise. We demonstrate that using a constellation defined upon a lattice in the amplitude-phase domain leads to significant performance gains and a low-complexity implementation. Thereupon, we propose the Polar-QAM scheme with efficient binary labeling and demodulation. Numerical simulation results show that the proposed modulation and demodulation schemes offer valuable solutions to achieve high-rate communications on systems strongly impaired by phase noise.

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Section: B Performance Of Constellations Based On Polar-latticesmentioning

confidence: 99%

Section: B Performance Of Constellations Based On Polar-latticesmentioning

confidence: 99%

Design of Digital Communications for Strong Phase Noise Channels

Bicaïs

Doré

2020

IEEE Open J. Veh. Technol.

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“…where in (4) we have exploited the first order Taylor expansion e jφ k 1 + jφ k , which is good if φ k is small, and w k is statistically equivalent to w k . We can distinguish two different noise components, a radial noise term, with variance σ 2 w /2, and an angular noise term, with variance…”

Section: B Spiral Constellations In Phase Noisementioning

confidence: 99%

“…In [3], the problem of finding the optimal constellation for PN channels is investigated by considering optimization formulations based on error rate and mutual information. In [4], the performance of high order amplitude-phase shift keying (APSK) constellations in PN channels are compared to the conventional phase shift keying (PSK) and quadrature amplitude modulation (QAM) constellations. Spiral constellations, called spiral QAM, have been considered for PN channels in [5].…”

Section: Introductionmentioning

confidence: 99%

Design of Spiral Constellations for Phase Noise Channels

Ugolini

Piemontese²,

Eriksson³

et al. 2019

2019 IEEE Wireless Communications and Networking Conference (WCNC)

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In this paper, we consider the design of spiral constellations for channels affected by phase noise. The strength of the proposed constellations resides both on the performance and on the extreme simplicity of the design. The symbols can in fact be expressed in analytical form, and are uniquely defined through a single parameter that accounts for the phase and thermal noise variances. The performance of the proposed constellations are assessed in terms of information rate and error rate. Despite their simplicity, the new spiral constellations have excellent performance, especially when the constellation size grows large.

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“…The shaping gain that can be achieved over conventional PSK and QAM constellations by properly designing constellations for phase noise was studied in [26]. The work in [27] investigated the performance of high order amplitudephase shift keying (APSK) constellations as compared to the conventional PSK and QAM constellations. In [28], the SEP of the ML detector for a given phase offset was derived, and this criterion was minimized for designing constellations.…”

Section: Introductionmentioning

confidence: 99%

Constellation Optimization in the Presence of Strong Phase Noise

Krishnan

Amat

Eriksson

et al. 2013

IEEE Trans. Commun.

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Abstract-In this paper, we address the problem of optimizing signal constellations for strong phase noise. The problem is investigated by considering three optimization formulations, which provide an analytical framework for constellation design. In the first formulation, we seek to design constellations that minimize the symbol error probability (SEP) for an approximate ML detector in the presence of phase noise. In the second formulation, we optimize constellations in terms of mutual information (MI) for the effective discrete channel consisting of phase noise, additive white Gaussian noise, and the approximate ML detector. To this end, we derive the MI of this discrete channel. Finally, we optimize constellations in terms of the MI for the phase noise channel. We give two analytical characterizations of the MI of this channel, which are shown to be accurate for a wide range of signal-to-noise ratios and phase noise variances. For each formulation, we present a detailed analysis of the optimal constellations and their performance in the presence of strong phase noise. We show that the optimal constellations significantly outperform conventional constellations and those proposed in the literature in terms of SEP, error floors, and MI.Index Terms -Constellations, maximum likelihood (ML) detection, mutual information, phase noise, symbol error probability.

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Performance of circular QAM constellations with time varying phase noise

Cited by 11 publications

References 17 publications

Design of Digital Communications for Strong Phase Noise Channels

Design of Digital Communications for Strong Phase Noise Channels

Design of Spiral Constellations for Phase Noise Channels

Constellation Optimization in the Presence of Strong Phase Noise

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