What question did this study set out to answer?

This research aims to identify effective signal constellations that minimize error in Gaussian noise environments, particularly for larger sets of signals.

January 1, 1974IRE Transactions on Communications Systems

Optimization of Two-Dimensional Signal Constellations in the Presence of Gaussian Noise

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Authors

GFG.J. FoschiniAT&T (United States)RGRichard D. GitlinUniversity of South Florida SWStephen B. WeinsteinNEC (Japan)

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Implication

Randomized trial optimizes error rates in signal constellations, indicating improved efficiency in data transmission systems.

Key Points

This research aims to identify effective signal constellations that minimize error in Gaussian noise environments, particularly for larger sets of signals.
Derived a minimum distance type expression for error rate under Gaussian noise conditions.
Employed a gradient-search procedure from random N-point arrays to find locally optimum constellations.
Used a radial contraction technique to ensure adherence to average signal power constraints.
A locally optimum 16-point constellation achieved a 0.5 dB advantage in signal-to-noise ratio compared to quadrature amplitude modulation.
The optimum constellations adopted an equilateral triangle formation as N increased, yielding uniform distribution in a circle.

Cite This Study

Foschini et al. (1974) studied this question.

synapsesocial.com/papers/6a157986d64fa333899fb63a https://doi.org/10.1109/tcom.1974.1092061

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Optimization of Two-Dimensional Signal Constellations in the Presence of Gaussian Noise

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Cite This Study

Optimization of Two-Dimensional Signal Constellations in the Presence of Gaussian Noise

Discussion

Member takes

Implication

Key Points

Cite This Study

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