Performance Analysis of M-PSK Signal Constellations in Riemannian Varieties
In this paper we consider the performance analysis of a digital communication system under the hypothesis that the signal constellations are on Riemannian manifolds. As a consequence of this new approach, it was necessary to extend the concepts related to signal constellations, symbol error probabil...
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| description | In this paper we consider the performance analysis of a digital communication system under the hypothesis that the signal constellations are on Riemannian manifolds. As a consequence of this new approach, it was necessary to extend the concepts related to signal constellations, symbol error probability and average energy of the signal constellation to the theory of differentiable manifolds. The important result coming out of this formalism is that the sectional curvature of the variety is a relevant parameter in the design and in the performance analysis of signal constellations. |
| doi_str_mv | 10.1007/3-540-44828-4_21 |
| format | Book Chapter |
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| fulltext | fulltext |
| identifier | ISSN: 0302-9743 |
| ispartof | Applied Algebra, Algebraic Algorithms and Error-Correcting Codes, 2003, Vol.2643, p.191-203 |
| issn | 0302-9743 1611-3349 |
| language | eng |
| recordid | cdi_pascalfrancis_primary_15052502 |
| source | Springer Books |
| subjects | Applied sciences Decision Region Exact sciences and technology Geodesic Distance Hyperbolic Space Information, signal and communications theory Miscellaneous Probability Density Function Sectional Curvature Signal and communications theory Telecommunications and information theory |
| title | Performance Analysis of M-PSK Signal Constellations in Riemannian Varieties |
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