Signal Constellations with Algebraic Properties and Their Application in Spatial Modulation Transmission Schemes
Nowadays, most digital modulation schemes are based on conventional signal constellations that have no algebraic group, ring, or field properties, e.g. square quadrature-amplitude modulation constellations. Signal constellations with algebraic structure can enhance the system performance. For instan...
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| description | Nowadays, most digital modulation schemes are based on conventional signal constellations that have no algebraic group, ring, or field properties, e.g. square quadrature-amplitude modulation constellations. Signal constellations with algebraic structure can enhance the system performance. For instance, multidimensional signal constellations based on dense lattices can achieve performance gains due to the dense packing. The algebraic structure enables low-complexity decoding and detection schemes. In this work, signal constellations with algebraic properties and their application in spatial modulation transmission schemes are investigated. Several design approaches of two- and four-dimensional signal constellations based on Gaussian, Eisenstein, and Hurwitz integers are shown. Detection algorithms with reduced complexity are proposed. It is shown, that the proposed Eisenstein and Hurwitz constellations combined with the proposed suboptimal detection can outperform conventional two-dimensional constellations with ML detection. |
| doi_str_mv | 10.1007/978-3-658-37114-2 |
| format | Book |
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Signal constellations with algebraic structure can enhance the system performance. For instance, multidimensional signal constellations based on dense lattices can achieve performance gains due to the dense packing. The algebraic structure enables low-complexity decoding and detection schemes. In this work, signal constellations with algebraic properties and their application in spatial modulation transmission schemes are investigated. Several design approaches of two- and four-dimensional signal constellations based on Gaussian, Eisenstein, and Hurwitz integers are shown. Detection algorithms with reduced complexity are proposed. It is shown, that the proposed Eisenstein and Hurwitz constellations combined with the proposed suboptimal detection can outperform conventional two-dimensional constellations with ML detection.</description><edition>1</edition><identifier>ISSN: 2661-8087</identifier><identifier>ISBN: 9783658371135</identifier><identifier>ISBN: 3658371137</identifier><identifier>EISSN: 2661-8095</identifier><identifier>EISBN: 9783658371142</identifier><identifier>EISBN: 3658371145</identifier><identifier>DOI: 10.1007/978-3-658-37114-2</identifier><identifier>OCLC: 1314620872</identifier><language>eng</language><publisher>Wiesbaden: Springer Vieweg. in Springer Fachmedien Wiesbaden GmbH</publisher><subject>Engineering ; Group theory ; Robotics and Automation ; Signal processing ; Signal processing-Digital techniques-Mathematics ; Signal, Image and Speech Processing</subject><creationdate>2022</creationdate><tpages>120</tpages><format>120</format><rights>The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Fachmedien Wiesbaden GmbH, part of Springer Nature 2022. Dissertation, Ulm University, 2021 Funded by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) – FR 2673/6–1 In reference to IEEE copyrighted material which is used with permission in this thesis, the IEEE does not endorse any of the university of Ulm’s or Springer Vieweg’s products or services.</rights><woscitedreferencessubscribed>false</woscitedreferencessubscribed><relation>Schriftenreihe der Institute für Systemdynamik (ISD) und optische Systeme (IOS)</relation></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Uhttps://media.springernature.com/w306/springer-static/cover-hires/book/978-3-658-37114-2</thumbnail><linktohtml>$$Uhttps://link.springer.com/10.1007/978-3-658-37114-2$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>306,780,784,786,27924,38254,42510</link.rule.ids></links><search><creatorcontrib>Rohweder, Daniel Benjamin</creatorcontrib><title>Signal Constellations with Algebraic Properties and Their Application in Spatial Modulation Transmission Schemes</title><description>Nowadays, most digital modulation schemes are based on conventional signal constellations that have no algebraic group, ring, or field properties, e.g. square quadrature-amplitude modulation constellations. 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| subjects | Engineering Group theory Robotics and Automation Signal processing Signal processing-Digital techniques-Mathematics Signal, Image and Speech Processing |
| title | Signal Constellations with Algebraic Properties and Their Application in Spatial Modulation Transmission Schemes |
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