On Optimal Shaping of Multidimensional Constellations - An Alternative Approach to Lattice-Bounded (Voronoi) Constellations

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dc.contributor.authorLaroia, Rajiven_US
dc.contributor.departmentISRen_US
dc.date.accessioned2007-05-23T09:49:48Z
dc.date.available2007-05-23T09:49:48Z
dc.date.issued1992en_US
dc.description.abstractA scheme for the optimal shaping of multidimensional constellations is proposed. This scheme uses some of the ideas from a type of structured vector quantizer originally proposed for the quantization of memoryless sources, and results in N- sphere shaping of N-dimensional cubic lattice based constellations. Its implementation complexity is very reasonable. Because N - sphere shaping is optimal in N dimensions, shaping gains higher than those of N - dimensional Voronoi constellations can be realized. Optimal shaping for a large N however has the undesirable effect of increasing the size and the peak-to-average power ratio of the constituent 2D constellation, thus limiting its usefulness in practical implementation over QAM modems. It is shown that the proposed scheme alleviates this problem by achieving optimal constellation shapes for a given limit on the constellation expansion ratio or the peak-to-average power ratio of the constituent 2D constellation. Finally, compatibility with trellis-coded modulation is demonstrated for the realization of both shaping and coding gain, giving this scheme a distinct edge over lattice- bounded constellations.en_US
dc.format.extent1211698 bytes
dc.format.mimetypeapplication/pdf
dc.identifier.urihttp://hdl.handle.net/1903/5183
dc.language.isoen_USen_US
dc.relation.ispartofseriesISR; TR 1992-1en_US
dc.subjectdigital communicationsen_US
dc.subjectfilteringen_US
dc.subjectsignal processingen_US
dc.subjectCommunication en_US
dc.subjectSignal Processing Systemsen_US
dc.titleOn Optimal Shaping of Multidimensional Constellations - An Alternative Approach to Lattice-Bounded (Voronoi) Constellationsen_US
dc.typeTechnical Reporten_US

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