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Published May 2015 | public
Book Section - Chapter

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

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.

Additional Information

© 2015 IEEE. This work was supported in part by the National Science Foundation (NSF) under Grant CCF-1016625, by the NSF CAREER award under Grant CCF-1253205, and by the Center for Science of Information (CSoI), an NSF Science and Technology Center, under Grant CCF-0939370.

Additional details

Created:
August 20, 2023
Modified:
October 23, 2023