Transmitting k samples over the Gaussian channel: Energy-distortion tradeoff
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 no...
| Main Authors: | , , |
|---|---|
| Other Authors: | |
| Format: | Article |
| Language: | en_US |
| Published: |
Institute of Electrical and Electronics Engineers (IEEE)
2016
|
| Online Access: | http://hdl.handle.net/1721.1/101000 https://orcid.org/0000-0002-2109-0979 |
| _version_ | 1811086241000587264 |
|---|---|
| author | Kostina, Victoria Polyanskiy, Yury Verdu, Sergio |
| author2 | Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science |
| author_facet | Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science Kostina, Victoria Polyanskiy, Yury Verdu, Sergio |
| author_sort | Kostina, Victoria |
| collection | MIT |
| description | 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. |
| first_indexed | 2024-09-23T13:23:04Z |
| format | Article |
| id | mit-1721.1/101000 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T13:23:04Z |
| publishDate | 2016 |
| publisher | Institute of Electrical and Electronics Engineers (IEEE) |
| record_format | dspace |
| spelling | mit-1721.1/1010002022-10-01T14:56:35Z Transmitting k samples over the Gaussian channel: Energy-distortion tradeoff Kostina, Victoria Polyanskiy, Yury Verdu, Sergio Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science Polyanskiy, Yury 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. National Science Foundation (U.S.) (Grant CCF-1016625) National Science Foundation (U.S.) (CAREER Award Grant CCF-1253205) National Science Foundation (U.S.). Science and Technology Center (Grant CCF-0939370) 2016-01-27T16:41:55Z 2016-01-27T16:41:55Z 2015-04 Article http://purl.org/eprint/type/ConferencePaper 978-1-4799-5524-4 978-1-4799-5526-8 http://hdl.handle.net/1721.1/101000 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). https://orcid.org/0000-0002-2109-0979 en_US http://dx.doi.org/10.1109/ITW.2015.7133162 Proceedings of the 2015 IEEE Information Theory Workshop (ITW) Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/ application/pdf Institute of Electrical and Electronics Engineers (IEEE) MIT web domain |
| spellingShingle | Kostina, Victoria Polyanskiy, Yury Verdu, Sergio Transmitting k samples over the Gaussian channel: Energy-distortion tradeoff |
| title | Transmitting k samples over the Gaussian channel: Energy-distortion tradeoff |
| title_full | Transmitting k samples over the Gaussian channel: Energy-distortion tradeoff |
| title_fullStr | Transmitting k samples over the Gaussian channel: Energy-distortion tradeoff |
| title_full_unstemmed | Transmitting k samples over the Gaussian channel: Energy-distortion tradeoff |
| title_short | Transmitting k samples over the Gaussian channel: Energy-distortion tradeoff |
| title_sort | transmitting k samples over the gaussian channel energy distortion tradeoff |
| url | http://hdl.handle.net/1721.1/101000 https://orcid.org/0000-0002-2109-0979 |
| work_keys_str_mv | AT kostinavictoria transmittingksamplesoverthegaussianchannelenergydistortiontradeoff AT polyanskiyyury transmittingksamplesoverthegaussianchannelenergydistortiontradeoff AT verdusergio transmittingksamplesoverthegaussianchannelenergydistortiontradeoff |