Performance evaluation of generalized selection combiners over slow fading with estimation errors

Fawaz S. Al-Qahtani; Arun K. Gurung; Salam A. Zummo; Seedahmed S. Mahmoud; Zahir M. Hussain

doi:10.1007/s11277-009-9829-6

Performance evaluation of generalized selection combiners over slow fading with estimation errors

Fawaz S. Al-Qahtani
, Arun K. Gurung
, Salam A. Zummo
, Seedahmed S. Mahmoud
, Zahir M. Hussain

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

In this paper we derive closed-form expressions for the single-user adaptive capacity of generalized selection combining (GSC) system, taking into account the effect of imperfect channel estimation at the receiver. The channel considered is a slowly varying spatially independent flat Rayleigh fading channel. The complex channel estimate and the actual channel are modelled as jointly Gaussian random variables with a correlation that depends on the estimation quality. Three adaptive transmission schemes are analyzed: (1) optimal power and rate adaptation; and (2) constant power with optimal rate adaptation, and (3) channel inversion with fixed rate. In addition to deriving an exact expression for the capacity of the aforementioned adaptive schemes, we analyze the impact of channel estimation error on the capacity statistics and the symbol error rate for GSC systems. The capacity statistics derived in this paper are the moment generating function, complementary cumulative distribution function and probability density function for arbitrary number of receive antennas. Moreover, exact closed-form expressions for M-PAM/PSK/QAM employing GSC are derived. As expected, the channel estimation error has a significant impact on the system performance.

Original language	English
Pages (from-to)	207-236
Number of pages	30
Journal	Wireless Personal Communications
Volume	56
Issue number	2
DOIs	https://doi.org/10.1007/s11277-009-9829-6
State	Published - Jan 2011

Bibliographical note

Funding Information:
Acknowledgment The third author acknowledges the support of King Fahd University of Petroleum and Minerals under grant no. SB090006.

Funding Information:
Salam A. Zummo was born in 1976 in Saudi Arabia. He received the B.Sc. and M.Sc. degrees in Electrical Engineering from King Fahd University of Petroleum and Minerals (KFUPM), Dhahran, Saudi Ara-bia, in 1998 and 1999, respectively. He received his Ph.D. degree from the University of Michigan at Ann Arbor, USA, in June 2003. He is currently an Associate Professor in the Electrical Engineering Depart-ment and the Dean of Graduate Studies at KFUPM. He is also the Coordinator of the Communications, Electronics and Optics National Science and Technology Program at KFUPM. Dr. Zummo was awarded Prince Bandar Bin Sultan Award for early Ph.D. completion in 2003 and the British Council/BAE Research Fellowship Award in 2004 and 2006. He has more that 50 publications in international journals and conference proceedings in the many areas in wireless communications including error control coding, diversity, MIMO, iterative receivers, multiuser diversity, multihop networks, user cooperation, interference modeling and networking issues for wireless communication systems.

Keywords

Adaptive transmission
Channel capacity
Generalized selection combining (GSC)
Rayleigh fading

ASJC Scopus subject areas

Computer Science Applications
Electrical and Electronic Engineering

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10.1007/s11277-009-9829-6

Cite this

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title = "Performance evaluation of generalized selection combiners over slow fading with estimation errors",

abstract = "In this paper we derive closed-form expressions for the single-user adaptive capacity of generalized selection combining (GSC) system, taking into account the effect of imperfect channel estimation at the receiver. The channel considered is a slowly varying spatially independent flat Rayleigh fading channel. The complex channel estimate and the actual channel are modelled as jointly Gaussian random variables with a correlation that depends on the estimation quality. Three adaptive transmission schemes are analyzed: (1) optimal power and rate adaptation; and (2) constant power with optimal rate adaptation, and (3) channel inversion with fixed rate. In addition to deriving an exact expression for the capacity of the aforementioned adaptive schemes, we analyze the impact of channel estimation error on the capacity statistics and the symbol error rate for GSC systems. The capacity statistics derived in this paper are the moment generating function, complementary cumulative distribution function and probability density function for arbitrary number of receive antennas. Moreover, exact closed-form expressions for M-PAM/PSK/QAM employing GSC are derived. As expected, the channel estimation error has a significant impact on the system performance.",

keywords = "Adaptive transmission, Channel capacity, Generalized selection combining (GSC), Rayleigh fading",

author = "Al-Qahtani, \{Fawaz S.\} and Gurung, \{Arun K.\} and Zummo, \{Salam A.\} and Mahmoud, \{Seedahmed S.\} and Hussain, \{Zahir M.\}",

note = "Funding Information: Acknowledgment The third author acknowledges the support of King Fahd University of Petroleum and Minerals under grant no. SB090006. Funding Information: Salam A. Zummo was born in 1976 in Saudi Arabia. He received the B.Sc. and M.Sc. degrees in Electrical Engineering from King Fahd University of Petroleum and Minerals (KFUPM), Dhahran, Saudi Ara-bia, in 1998 and 1999, respectively. He received his Ph.D. degree from the University of Michigan at Ann Arbor, USA, in June 2003. He is currently an Associate Professor in the Electrical Engineering Depart-ment and the Dean of Graduate Studies at KFUPM. He is also the Coordinator of the Communications, Electronics and Optics National Science and Technology Program at KFUPM. Dr. Zummo was awarded Prince Bandar Bin Sultan Award for early Ph.D. completion in 2003 and the British Council/BAE Research Fellowship Award in 2004 and 2006. He has more that 50 publications in international journals and conference proceedings in the many areas in wireless communications including error control coding, diversity, MIMO, iterative receivers, multiuser diversity, multihop networks, user cooperation, interference modeling and networking issues for wireless communication systems.",

year = "2011",

month = jan,

doi = "10.1007/s11277-009-9829-6",

language = "English",

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AU - Gurung, Arun K.

AU - Zummo, Salam A.

AU - Mahmoud, Seedahmed S.

AU - Hussain, Zahir M.

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N2 - In this paper we derive closed-form expressions for the single-user adaptive capacity of generalized selection combining (GSC) system, taking into account the effect of imperfect channel estimation at the receiver. The channel considered is a slowly varying spatially independent flat Rayleigh fading channel. The complex channel estimate and the actual channel are modelled as jointly Gaussian random variables with a correlation that depends on the estimation quality. Three adaptive transmission schemes are analyzed: (1) optimal power and rate adaptation; and (2) constant power with optimal rate adaptation, and (3) channel inversion with fixed rate. In addition to deriving an exact expression for the capacity of the aforementioned adaptive schemes, we analyze the impact of channel estimation error on the capacity statistics and the symbol error rate for GSC systems. The capacity statistics derived in this paper are the moment generating function, complementary cumulative distribution function and probability density function for arbitrary number of receive antennas. Moreover, exact closed-form expressions for M-PAM/PSK/QAM employing GSC are derived. As expected, the channel estimation error has a significant impact on the system performance.

AB - In this paper we derive closed-form expressions for the single-user adaptive capacity of generalized selection combining (GSC) system, taking into account the effect of imperfect channel estimation at the receiver. The channel considered is a slowly varying spatially independent flat Rayleigh fading channel. The complex channel estimate and the actual channel are modelled as jointly Gaussian random variables with a correlation that depends on the estimation quality. Three adaptive transmission schemes are analyzed: (1) optimal power and rate adaptation; and (2) constant power with optimal rate adaptation, and (3) channel inversion with fixed rate. In addition to deriving an exact expression for the capacity of the aforementioned adaptive schemes, we analyze the impact of channel estimation error on the capacity statistics and the symbol error rate for GSC systems. The capacity statistics derived in this paper are the moment generating function, complementary cumulative distribution function and probability density function for arbitrary number of receive antennas. Moreover, exact closed-form expressions for M-PAM/PSK/QAM employing GSC are derived. As expected, the channel estimation error has a significant impact on the system performance.

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JO - Wireless Personal Communications

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ER -

Performance evaluation of generalized selection combiners over slow fading with estimation errors

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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