On Achievable Distortion in Sending Gaussian Sources over a Bandwidth-Matched Gaussian MAC with No Transmitter CSI
This paper investigates the minimum mean square error (MMSE) of communicating a pair of Gaussian sources over a a bandwidth-matched Gaussian multiple-access channel with block Rayleigh fading in the absence of channel state information (CSI) at the transmitters. The achievable MMSE is not known. To...
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MDPI AG
2019-10-01
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| Series: | Entropy |
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| Online Access: | https://www.mdpi.com/1099-4300/21/10/992 |
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doaj-a84e2e044f3a458889cecdf1810914f02020-11-25T01:15:08ZengMDPI AGEntropy1099-43002019-10-01211099210.3390/e21100992e21100992On Achievable Distortion in Sending Gaussian Sources over a Bandwidth-Matched Gaussian MAC with No Transmitter CSIChathura Illangakoon0Pradeepa Yahampath1Department of ECE, University of Manitoba, Winnipeg, MB R3T 5V6, CanadaDepartment of ECE, University of Manitoba, Winnipeg, MB R3T 5V6, CanadaThis paper investigates the minimum mean square error (MMSE) of communicating a pair of Gaussian sources over a a bandwidth-matched Gaussian multiple-access channel with block Rayleigh fading in the absence of channel state information (CSI) at the transmitters. The achievable MMSE is not known. To this end, we derive several upper-bounds to the minimum achievable average MMSE as a function of the transmitter powers, the average channel fading power-to-noise ratio, and the correlation coefficient of the two sources. To derive nontrivial upper bounds which improve on those of separate source-channel coding and uncoded transmission, we incorporate ideas from joint source-channel coding and hybrid digital−analog coding to construct specific coding schemes for which the achievable MMSE can be determined.https://www.mdpi.com/1099-4300/21/10/992gaussian sourcesmultiple-access channelrayleigh fadingchannel-state informationjoint source-channel codinguncoded transmission |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Chathura Illangakoon Pradeepa Yahampath |
| spellingShingle |
Chathura Illangakoon Pradeepa Yahampath On Achievable Distortion in Sending Gaussian Sources over a Bandwidth-Matched Gaussian MAC with No Transmitter CSI Entropy gaussian sources multiple-access channel rayleigh fading channel-state information joint source-channel coding uncoded transmission |
| author_facet |
Chathura Illangakoon Pradeepa Yahampath |
| author_sort |
Chathura Illangakoon |
| title |
On Achievable Distortion in Sending Gaussian Sources over a Bandwidth-Matched Gaussian MAC with No Transmitter CSI |
| title_short |
On Achievable Distortion in Sending Gaussian Sources over a Bandwidth-Matched Gaussian MAC with No Transmitter CSI |
| title_full |
On Achievable Distortion in Sending Gaussian Sources over a Bandwidth-Matched Gaussian MAC with No Transmitter CSI |
| title_fullStr |
On Achievable Distortion in Sending Gaussian Sources over a Bandwidth-Matched Gaussian MAC with No Transmitter CSI |
| title_full_unstemmed |
On Achievable Distortion in Sending Gaussian Sources over a Bandwidth-Matched Gaussian MAC with No Transmitter CSI |
| title_sort |
on achievable distortion in sending gaussian sources over a bandwidth-matched gaussian mac with no transmitter csi |
| publisher |
MDPI AG |
| series |
Entropy |
| issn |
1099-4300 |
| publishDate |
2019-10-01 |
| description |
This paper investigates the minimum mean square error (MMSE) of communicating a pair of Gaussian sources over a a bandwidth-matched Gaussian multiple-access channel with block Rayleigh fading in the absence of channel state information (CSI) at the transmitters. The achievable MMSE is not known. To this end, we derive several upper-bounds to the minimum achievable average MMSE as a function of the transmitter powers, the average channel fading power-to-noise ratio, and the correlation coefficient of the two sources. To derive nontrivial upper bounds which improve on those of separate source-channel coding and uncoded transmission, we incorporate ideas from joint source-channel coding and hybrid digital−analog coding to construct specific coding schemes for which the achievable MMSE can be determined. |
| topic |
gaussian sources multiple-access channel rayleigh fading channel-state information joint source-channel coding uncoded transmission |
| url |
https://www.mdpi.com/1099-4300/21/10/992 |
| work_keys_str_mv |
AT chathuraillangakoon onachievabledistortioninsendinggaussiansourcesoverabandwidthmatchedgaussianmacwithnotransmittercsi AT pradeepayahampath onachievabledistortioninsendinggaussiansourcesoverabandwidthmatchedgaussianmacwithnotransmittercsi |
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