Outage probability analysis for the multi-carrier NOMA downlink relying on statistical CSI
Outage probability analysis for the multi-carrier NOMA downlink relying on statistical CSI
In this treatise, we derive tractable closed-form expressions for the outage probability of the single cell multi-carrier non-orthogonal multiple access (MC-NOMA) downlink, where the transmitter side only has statistical CSI knowledge. In particular, we analyze the outage probability with respect to the total data rates (summed over all subcarriers), given a minimum target rate for the individual users. The calculation of outage probability for the distant user is challenging, since the total rate expression is given by the sum of logarithmic functions of the ratio between two shifted exponential random variables, which are dependent. In order to derive the closed-form outage probability expressions both for two subcarriers and for a general case of multiple subcarriers, efficient approximations are proposed. The probability density function (PDF) of the product of shifted exponential distributions can be determined for the near user by the Mellin transform and the generalized upper incomplete Fox's H function. Based on this PDF, the corresponding outage probability is presented. Finally, the accuracy of our outage analysis is verified by simulation results.
MC-NOMA, Mellin transform, Outage probability, channel state information (CSI), generalized upper incomplete Fox's H function, non-orthogonal multiple access, shifted exponential distribution
3572-3587
li, shenhong
0d4d957e-4015-4cb8-a844-e22b47126db3
Derakhshani, Mahsa
24b67912-a4bd-4b16-bc36-14051f17987f
Lambotharan, Sangarapillai
9839317e-0bf4-4d7c-8722-87d3ec9086de
Hanzo, Lajos
66e7266f-3066-4fc0-8391-e000acce71a1
June 2020
li, shenhong
0d4d957e-4015-4cb8-a844-e22b47126db3
Derakhshani, Mahsa
24b67912-a4bd-4b16-bc36-14051f17987f
Lambotharan, Sangarapillai
9839317e-0bf4-4d7c-8722-87d3ec9086de
Hanzo, Lajos
66e7266f-3066-4fc0-8391-e000acce71a1
li, shenhong, Derakhshani, Mahsa, Lambotharan, Sangarapillai and Hanzo, Lajos
(2020)
Outage probability analysis for the multi-carrier NOMA downlink relying on statistical CSI.
IEEE Transactions on Communications, 68 (6), , [9031560].
(doi:10.1109/TCOMM.2020.2979849).
Abstract
In this treatise, we derive tractable closed-form expressions for the outage probability of the single cell multi-carrier non-orthogonal multiple access (MC-NOMA) downlink, where the transmitter side only has statistical CSI knowledge. In particular, we analyze the outage probability with respect to the total data rates (summed over all subcarriers), given a minimum target rate for the individual users. The calculation of outage probability for the distant user is challenging, since the total rate expression is given by the sum of logarithmic functions of the ratio between two shifted exponential random variables, which are dependent. In order to derive the closed-form outage probability expressions both for two subcarriers and for a general case of multiple subcarriers, efficient approximations are proposed. The probability density function (PDF) of the product of shifted exponential distributions can be determined for the near user by the Mellin transform and the generalized upper incomplete Fox's H function. Based on this PDF, the corresponding outage probability is presented. Finally, the accuracy of our outage analysis is verified by simulation results.
Text
20200303OP analysis for MC-NOMA
- Accepted Manuscript
More information
Accepted/In Press date: 1 March 2020
Published date: June 2020
Additional Information:
Funding Information:
Manuscript received May 10, 2019; revised September 19, 2019, December 25, 2019, and February 14, 2020; accepted February 29, 2020. Date of publication March 10, 2020; date of current version June 16, 2020. This work was supported in part by the Engineering and Physical Sciences Research Council under Grant EP/R006385/1, EP/N004558/1, EP/P034284/1, COALESCE, of the Royal Society’s Global Challenges Research Fund Grant as well as of the European Research Council’s Advanced Fellow Grant QuantCom. The associate editor coordinating the review of this article and approving it for publication was H. R. Bahrami. (Corresponding author: Lajos Hanzo.) Shenhong Li, Mahsa Derakhshani, and Sangarapillai Lambotharan are with the Signal Processing and Networks Research Group, Wolfson School, Loughborough University, Loughborough LE11 3TU, U.K. (e-mail: s.li3@lboro.ac.uk; m.derakhshani@lboro.ac.uk; s.lambotharan@lboro.ac.uk).
Publisher Copyright:
© 1972-2012 IEEE.
Keywords:
MC-NOMA, Mellin transform, Outage probability, channel state information (CSI), generalized upper incomplete Fox's H function, non-orthogonal multiple access, shifted exponential distribution
Identifiers
Local EPrints ID: 438591
URI: http://eprints.soton.ac.uk/id/eprint/438591
ISSN: 0090-6778
PURE UUID: 947169ab-470d-4473-8061-c68a03c403bf
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Date deposited: 18 Mar 2020 17:30
Last modified: 18 Mar 2024 02:36
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Author:
shenhong li
Author:
Mahsa Derakhshani
Author:
Sangarapillai Lambotharan
Author:
Lajos Hanzo
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