Transmitting k samples over the Gaussian channel: Energy-distortion tradeoff

Author(s)
Kostina, Victoria; Polyanskiy, Yury; Verdu, Sergio
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Abstract
We investigate the minimum transmitted energy required to reproduce k source samples with a given fidelity after transmission over a memoryless Gaussian channel. In particular, we analyze the reduction in transmitted energy that accrues thanks to the availability of noiseless feedback. Allowing a nonvanishing excess distortion probability ∈ boosts the asymptotic fundamental limit by a factor of 1-∈, with or without feedback. If feedback is available, achieving guaranteed distortion with finite average energy is possible.
Date issued
2015-04
URI
http://hdl.handle.net/1721.1/101000
Department
Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science
Journal
Proceedings of the 2015 IEEE Information Theory Workshop (ITW)
Publisher
Institute of Electrical and Electronics Engineers (IEEE)
Citation
Kostina, Victoria, Yury Polyanskiy, and Sergio Verdu. “Transmitting k Samples over the Gaussian Channel: Energy-Distortion Tradeoff.” 2015 IEEE Information Theory Workshop (ITW) (April 2015).
Version: Author's final manuscript
ISBN
978-1-4799-5524-4
978-1-4799-5526-8
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