Title :
Transmitting k samples over the Gaussian channel: Energy-distortion tradeoff
Author :
Kostina, Victoria ; Polyanskiy, Yury ; Verdu, Sergio
Author_Institution :
California Inst. of Technol., Pasadena, CA, USA
fDate :
April 26 2015-May 1 2015
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.
Keywords :
AWGN channels; combined source-channel coding; memoryless systems; rate distortion theory; AWGN channel; asymptotic fundamental limit; energy-distortion tradeoff; finite average energy; finite-blocklength regime; joint source-channel coding; k sample transmission; lossy compression; memoryless Gaussian channel; noiseless feedback; nonvanishing excess distortion probability; rate-distortion theory; single-shot method; transmitted energy reduction; AWGN channels; Blogs; Decoding; Distortion; Distortion measurement; Encoding; Random variables; Gaussian channels; Joint source-channel coding; Shannon theory; energy-distortion tradeoff; feedback; finite-blocklength regime; lossy compression; memoryless channels; rate-distortion theory; single-shot method;
Conference_Titel :
Information Theory Workshop (ITW), 2015 IEEE
Conference_Location :
Jerusalem
Print_ISBN :
978-1-4799-5524-4
DOI :
10.1109/ITW.2015.7133162
