Designing Good Multi-Dimensional Constellations

Beko, Marko; Dinis, Rui

doi:10.1109/wcl.2012.032312.120203

Cited by 77 publications

(100 citation statements)

References 9 publications

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“…This means that f (C)| s (1) ≤ f (C)| s (0) . The algorithm stops when ||s (k) −s (k+1) || < ∆ for some k, where ∆ is an arbitrarily small constant [14], [15].…”

Section: Proposed Methodsmentioning

confidence: 99%

Design of good constellations for single-subcarrier intensity-modulated optical systems

Beko

Dinis

Raspopović

et al. 2014

2014 International Conference on Telecommunications and Multimedia (TEMU)

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We address the problem of constellation design for single-subcarrier intensity-modulated directdetected optical systems. We seek to design constellations that minimize the average electrical power, average optical power and peak optical power for a given minimum Euclidean distance between constellation points. The constellation design is formulated as a nonconvex optimization problem with a convex cost function, nonconvex quadratic constraints and second-order cone constraints. It is shown that this problem can be approximated by a second-order cone programming (SOCP) problem. We propose an iterative procedure in which the SOCP approximation is refined in each iteration. The new constellations are compared to the state-of-the-art constellations in terms of power efficiency. Our 32-and 64-point constellations outperform the corresponding QAM-based and face-centered cubic lattice constellations 1 .

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“…This means that f (C)| s (1) ≤ f (C)| s (0) . The algorithm stops when ||s (k) −s (k+1) || < ∆ for some k, where ∆ is an arbitrarily small constant [14], [15].…”

Section: Proposed Methodsmentioning

confidence: 99%

Design of good constellations for single-subcarrier intensity-modulated optical systems

Beko

Dinis

Raspopović

et al. 2014

2014 International Conference on Telecommunications and Multimedia (TEMU)

Self Cite

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“…Function (13) means that the decision is a joint decision about pair [d, d ′ ]. This type of objective function use strategy [12].…”

Section: Optimization Problemmentioning

confidence: 99%

“…Optimization problem (12) is a standard constellation design problem which is a non-convex quadratically constrained NP hard minimax problem [13]. First of all we reformulate the minimax problem: instead of maximizing minimum, we maximize auxiliary variable and include extra conditions that the auxiliary variable is lower or equal than all the conditions over which minimum operator was assumed.…”

Section: Optimization Toolsmentioning

confidence: 99%

Constellations Maximizing Minimal Distance for Physical-Layer Network Coding Multiway Relaying

Hekrdla

Sýkora

2015

2015 IEEE 81st Vehicular Technology Conference (VTC Spring)

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This paper objects a design of constellations suitable for Physical-Layer Network Coding (PLNC) in a Multi-Way Relay Channel (M-WRC). We formulate the constellation design as a general constrained optimization problem maximizing minimal distance of network coding function decoding. The numerically obtained constellations are recognized to possess some regular structure. The optimal constellations for 2-WRC are powerbalanced hexagonal constellations with particular type of indexing. As far as the optimization problem is numerically tractable, we declare optimality of power-scaled pre-rotated amplitude shift keying constellations for M-WRC with number of terminals > 2. All optimums decode non-linear modulo-sum network coding function and offer considerable performance gains in comparison to canonical schemes. This work also demonstrates that PLNC strategy tailored to M-WRC overcome PLNC 2-WRC approach.

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“…The authors in [9] have considered the design of multidimensional compact constellations for minimizing the average symbol energy for a given minimum Euclidian distance between constellation points. In [10], different constellations with different mapping have been compared based on symbol error probability in the presence of strong phase noise.…”

Section: Introductionmentioning

confidence: 99%

An efficient OFDM-based system with an insufficient cyclic prefix via a novel constellation algorithm

Ghazi‐Maghrebi¹

2017

Turk J Elec Eng & Comp Sci

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Abstract:In this paper, a new special triangular constellation scheme is introduced to replace the commonly used rectangular QAM constellation in orthogonal frequency division multiplexing (OFDM) modulation. We have shown that this new scheme has 3 major advantages with respect to the well-known QAM. The first advantage is its lower error probability performance, which results from better usage of the constellation space with longer minimum distances. The 2 other advantages are a lower peak to average power ratio (PAPR) and higher noise immunity. Both mathematical analysis and simulation results demonstrate that by applying standard channels in 2 cases, i.e. channels with AWGN and channels with burst noise and also with intersymbol interference (ISI) impairment simultaneously, the proposed constellation exhibits superior performance compared to the well-known QAM. As a result, this constellation is a good choice for high-speed and real-time OFDM multicarrier applications such as WiFi, WiMAX, DVB, and DAB at no extra cost.

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Designing Good Multi-Dimensional Constellations

Cited by 77 publications

References 9 publications

Design of good constellations for single-subcarrier intensity-modulated optical systems

Design of good constellations for single-subcarrier intensity-modulated optical systems

Constellations Maximizing Minimal Distance for Physical-Layer Network Coding Multiway Relaying

An efficient OFDM-based system with an insufficient cyclic prefix via a novel constellation algorithm

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