Transmitting k samples over the Gaussian channel: Energy-distortion tradeoff
Author(s)Kostina, Victoria; Polyanskiy, Yury; Verdu, Sergio
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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.
DepartmentMassachusetts Institute of Technology. Department of Electrical Engineering and Computer Science
Proceedings of the 2015 IEEE Information Theory Workshop (ITW)
Institute of Electrical and Electronics Engineers (IEEE)
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).
Author's final manuscript