A useful lemma for bit error rate of the noise imbalanced MRC combining over correlated and uncorrelated fading channels

Ferkan Yilmaz; Mohamed Slim Alouini

doi:10.1109/SIU.2018.8404435

A useful lemma for bit error rate of the noise imbalanced MRC combining over correlated and uncorrelated fading channels

Ferkan Yilmaz, Mohamed Slim Alouini

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

12 Citations (Scopus)

Abstract

In the literature, much attention has been devoted to the analysis of maximal-ratio combining (MRC) whose diversity branches are subjected to the balanced noise levels. However, this paper considers the noise imbalanced MRC (NI-MRC), i.e., the multi-branch MRC whose diversity branches are together subjected to some significant imbalance of noise levels due to the estimation error of the noise power knowledges used to maximize combining the signals from diversity branches. To the best of our knowledge, this paper proposes the first analytical approach in the literature to exactly evaluate the bit error rate (BER) of binary modulation schemes over either correlated or uncorrelated fading channels. Based on moment generating function (MGF), the proposed approach is exemplified for the well-known correlated fading conditions, and verified by computer based simulations to elucidate the effect of noise imbalance (NI) on the BER performance.

Original language	English
Title of host publication	26th IEEE Signal Processing and Communications Applications Conference, SIU 2018
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	1-4
Number of pages	4
ISBN (Electronic)	9781538615010
DOIs	https://doi.org/10.1109/SIU.2018.8404435
Publication status	Published - 5 Jul 2018
Externally published	Yes
Event	26th IEEE Signal Processing and Communications Applications Conference, SIU 2018 - Izmir, Turkey Duration: 2 May 2018 → 5 May 2018

Publication series

Name	26th IEEE Signal Processing and Communications Applications Conference, SIU 2018

Conference

Conference	26th IEEE Signal Processing and Communications Applications Conference, SIU 2018
Country/Territory	Turkey
City	Izmir
Period	2/05/18 → 5/05/18

Bibliographical note

Publisher Copyright:
© 2018 IEEE.

Funding

This work was supported partially by Yildiz Technical University (YTÜ) and partially by King Abdullah University of Science and Technology (KAUST).

Funders	Funder number
YTÜ
King Abdullah University of Science and Technology
Yildiz Teknik Üniversitesi

Keywords

Imperfect noise variance knowledge
Maximal ratio combining
Moment-generating function
Noise imbalance
Symbol error probability

Access to Document

10.1109/SIU.2018.8404435

Cite this

Yilmaz, F., & Alouini, M. S. (2018). A useful lemma for bit error rate of the noise imbalanced MRC combining over correlated and uncorrelated fading channels. In 26th IEEE Signal Processing and Communications Applications Conference, SIU 2018 (pp. 1-4). (26th IEEE Signal Processing and Communications Applications Conference, SIU 2018). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/SIU.2018.8404435

Yilmaz, Ferkan ; Alouini, Mohamed Slim. / A useful lemma for bit error rate of the noise imbalanced MRC combining over correlated and uncorrelated fading channels. 26th IEEE Signal Processing and Communications Applications Conference, SIU 2018. Institute of Electrical and Electronics Engineers Inc., 2018. pp. 1-4 (26th IEEE Signal Processing and Communications Applications Conference, SIU 2018).

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abstract = "In the literature, much attention has been devoted to the analysis of maximal-ratio combining (MRC) whose diversity branches are subjected to the balanced noise levels. However, this paper considers the noise imbalanced MRC (NI-MRC), i.e., the multi-branch MRC whose diversity branches are together subjected to some significant imbalance of noise levels due to the estimation error of the noise power knowledges used to maximize combining the signals from diversity branches. To the best of our knowledge, this paper proposes the first analytical approach in the literature to exactly evaluate the bit error rate (BER) of binary modulation schemes over either correlated or uncorrelated fading channels. Based on moment generating function (MGF), the proposed approach is exemplified for the well-known correlated fading conditions, and verified by computer based simulations to elucidate the effect of noise imbalance (NI) on the BER performance.",

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Yilmaz, F & Alouini, MS 2018, A useful lemma for bit error rate of the noise imbalanced MRC combining over correlated and uncorrelated fading channels. in 26th IEEE Signal Processing and Communications Applications Conference, SIU 2018. 26th IEEE Signal Processing and Communications Applications Conference, SIU 2018, Institute of Electrical and Electronics Engineers Inc., pp. 1-4, 26th IEEE Signal Processing and Communications Applications Conference, SIU 2018, Izmir, Turkey, 2/05/18. https://doi.org/10.1109/SIU.2018.8404435

A useful lemma for bit error rate of the noise imbalanced MRC combining over correlated and uncorrelated fading channels. / Yilmaz, Ferkan; Alouini, Mohamed Slim.
26th IEEE Signal Processing and Communications Applications Conference, SIU 2018. Institute of Electrical and Electronics Engineers Inc., 2018. p. 1-4 (26th IEEE Signal Processing and Communications Applications Conference, SIU 2018).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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Yilmaz F, Alouini MS. A useful lemma for bit error rate of the noise imbalanced MRC combining over correlated and uncorrelated fading channels. In 26th IEEE Signal Processing and Communications Applications Conference, SIU 2018. Institute of Electrical and Electronics Engineers Inc. 2018. p. 1-4. (26th IEEE Signal Processing and Communications Applications Conference, SIU 2018). doi: 10.1109/SIU.2018.8404435

A useful lemma for bit error rate of the noise imbalanced MRC combining over correlated and uncorrelated fading channels

Abstract

Publication series

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Bibliographical note

Funding

Keywords

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