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Daniel Benjamin Rohweder

Signal Constellations with Algebraic Properties and their Application in Spatial Modulation Transmission Schemes

Signal Constellations with Algebraic Properties and their Application in Spatial Modulation Transmission Schemes

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  • More about Signal Constellations with Algebraic Properties and their Application in Spatial Modulation Transmission Schemes

Digital modulation schemes with algebraic structure, such as multidimensional signal constellations based on dense lattices, can enhance system performance by enabling low-complexity decoding and detection. This work investigates signal constellations with algebraic properties and their application in spatial modulation transmission schemes, proposing design approaches and detection algorithms with reduced complexity.

Format: Paperback / softback
Length: 108 pages
Publication date: 28 April 2022
Publisher: Springer Fachmedien Wiesbaden


In the realm of digital modulation schemes, a significant trend has emerged towards utilizing conventional signal constellations that lack algebraic group, ring, or field properties. Examples of such constellations include square quadrature-amplitude modulation (SQAM) constellations. However, it is worth noting that signal constellations with algebraic structure hold the potential to significantly enhance system performance. By incorporating algebraic properties, signal constellations can enable low-complexity decoding and detection schemes, leading to improved communication efficiency.

In this work, we delve into the exploration of signal constellations with algebraic properties and their application in spatial modulation transmission schemes. We present several design approaches for two- and four-dimensional signal constellations based on Gaussian, Eisenstein, and Hurwitz integers. Furthermore, we propose novel detection algorithms with reduced complexity, demonstrating their potential to outperform conventional two-dimensional constellations employing maximum likelihood (ML) detection.

The proposed Eisenstein and Hurwitz constellations, when combined with the proposed suboptimal detection, exhibit superior performance compared to conventional two-dimensional constellations with ML detection. This breakthrough demonstrates the significance of leveraging algebraic structure in signal constellations, paving the way for enhanced communication systems with improved efficiency and reliability.

Weight: 173g
Dimension: 210 x 148 (mm)
ISBN-13: 9783658371135
Edition number: 1st ed. 2022

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