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Semidefinite programming relaxation based virtually antipodal detection for Gray coded 16-QAM MIMO signalling

Semidefinite programming relaxation based virtually antipodal detection for Gray coded 16-QAM MIMO signalling
Semidefinite programming relaxation based virtually antipodal detection for Gray coded 16-QAM MIMO signalling
An efficient semidefinite programming relaxation (SDPR) based virtually antipodal (VA) detection approach is proposed for Gray coded 16-QAM signalling over multiple-input–multiple-output (MIMO) channels. The existing index-bit-based VA-SDPR (IVA-SDPR) method is incapable of making direct binary decisions concerning the individual information bits without making symbol decisions first, except for the linear natural-mapping aided rectangular QAM constellations. By contrast, our new method is capable of directly deciding on the information bits of the ubiquitous Gray-mapping aided 16-QAM by employing a strikingly simple linear matrix representation (LMR) of 4-QAM. As an appealing benefit, the conventional “signal-to-symbol-to-bits” decision process is substituted by a simpler “signal-to-bits” decision process for the classic Gray-mapping aided rectangular 16-QAM. Furthermore, when combined with low-complexity bit-flipping based “hill climbing”, the proposed direct-bit-based VA-SDPR (DVA-SDPR) detector achieves the best bit-error-ratio (BER) performance among the known SDPR-based MIMO detectors in the context considered, while still maintaining a worst-case complexity order as low as O[(4NT + 1)3.5].
binary constrained quadratic programming, gray mapping, primal-dual interior-point algorithm, qam, semidefinite programming relaxation, sdpr, virtually-antipodal detection
1-5
Yang, Shaoshi
df1e6c38-ff3b-473e-b36b-4820db908e60
Hanzo, Lajos
66e7266f-3066-4fc0-8391-e000acce71a1
Yang, Shaoshi
df1e6c38-ff3b-473e-b36b-4820db908e60
Hanzo, Lajos
66e7266f-3066-4fc0-8391-e000acce71a1

Yang, Shaoshi and Hanzo, Lajos (2011) Semidefinite programming relaxation based virtually antipodal detection for Gray coded 16-QAM MIMO signalling. 54th IEEE Global Communications Conference (IEEE GLOBECOM 2011), Houston, Texas, United States. 05 - 09 Dec 2011. pp. 1-5 . (doi:10.1109/GLOCOM.2011.6134531).

Record type: Conference or Workshop Item (Paper)

Abstract

An efficient semidefinite programming relaxation (SDPR) based virtually antipodal (VA) detection approach is proposed for Gray coded 16-QAM signalling over multiple-input–multiple-output (MIMO) channels. The existing index-bit-based VA-SDPR (IVA-SDPR) method is incapable of making direct binary decisions concerning the individual information bits without making symbol decisions first, except for the linear natural-mapping aided rectangular QAM constellations. By contrast, our new method is capable of directly deciding on the information bits of the ubiquitous Gray-mapping aided 16-QAM by employing a strikingly simple linear matrix representation (LMR) of 4-QAM. As an appealing benefit, the conventional “signal-to-symbol-to-bits” decision process is substituted by a simpler “signal-to-bits” decision process for the classic Gray-mapping aided rectangular 16-QAM. Furthermore, when combined with low-complexity bit-flipping based “hill climbing”, the proposed direct-bit-based VA-SDPR (DVA-SDPR) detector achieves the best bit-error-ratio (BER) performance among the known SDPR-based MIMO detectors in the context considered, while still maintaining a worst-case complexity order as low as O[(4NT + 1)3.5].

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Published date: 7 December 2011
Venue - Dates: 54th IEEE Global Communications Conference (IEEE GLOBECOM 2011), Houston, Texas, United States, 2011-12-05 - 2011-12-09
Keywords: binary constrained quadratic programming, gray mapping, primal-dual interior-point algorithm, qam, semidefinite programming relaxation, sdpr, virtually-antipodal detection
Organisations: Southampton Wireless Group

Identifiers

Local EPrints ID: 272561
URI: http://eprints.soton.ac.uk/id/eprint/272561
PURE UUID: 326d9672-a8da-458b-bd2e-99691c324c52
ORCID for Lajos Hanzo: ORCID iD orcid.org/0000-0002-2636-5214

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Date deposited: 11 Jul 2011 14:21
Last modified: 18 Mar 2024 02:35

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Contributors

Author: Shaoshi Yang
Author: Lajos Hanzo ORCID iD

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