An Improved Method for ASEP Evaluation over Fading Channels Based on Q-Function Approximation

ABSTRACT

In this paper, capitalizing on novely introduced interval approximation of Q-function, we have presented simple and tight approximation for the evaluation of the average symbol error probability (ASEP) over fading channels. First, comparison to other known Q-function closed-form approximations has been performed, and it has been shown that accuracy improvement has been achieved by using proposed interval approximation in whole range of input values. Further, it has been shown that by using proposed approximation, values of ASEP for some applied modulation formats could be efficiently and accurately evaluated when transmission over fading channels is observed. Also has been shown that than by using proposed approximation, ASEP measures are bounded more closely than by using other known Q-function closed-form approximations.

KEYWORDS:

• Bit error rate
• Function approximation
• Gaussian distribution
• Modulation
• Nakagami distribution
• Wireless communication

Additional information

Funding

This research has been partially supported by the funds of Ministry of Education, Science and Technological Development under the Project III-44006 and Project TR 32023.

Notes on contributors

Aleksandar V. Markovic

Aleksandar V Markovic was born in Novi Pazar, Serbia, in 1987. He received his BSc and MSc degrees in electrical engineering from the Faculty of Technical Sciences in Kosovska Mitrovica, University of Pristina, Serbia. He is a PhD candidate in the Faculty of Electronic Engineering, University of Nis, Serbia. He is a teaching assistant at the Faculty of Mathematics and Natural Sciences at University of Pristina. His research interests are statistical communication theory and optical communications. He has published several journal publications on the above subject.

E-mail: [email protected]

Zoran H. Peric

Zoran H Peric was born in Nis, Serbia, in 1964. He received the BSc degree in electronics and telecommunications from the Faculty of Electronic Engineering, University of Nis, Serbia, Yugoslavia, in 1989, and MSc degree in telecommunications from the University of Nis, in 1994. He received the PhD degree from the University of Nis, also, in 1999. He is currently a full professor at the Department of Telecommunications, Faculty of Electronic Engineering, University of Nis, Serbia. His current research interests include the information theory, source and channel coding, and signal processing. He is particularly working on scalar and vector quantization techniques in speech and image coding. He was author and co-author in over 200 papers in digital communications. Dr Peric has been a reviewer for IEEE Transactions on Information Theory, IEEE Transactions on Signal Processing, IEEE Transactions on Communications, Compel, Informatica, Information Technology and Control, Expert Systems with Applications and Digital Signal Processing.

E-mail: [email protected]

Stefan R. Panic

Stefan R Panic was born in Pirot, Serbia, in 1983. He received the MSc and PhD degrees in electrical engineering from Faculty of Electronic Engineering, Nis, Serbia, in 2007 and 2010, respectively. His research interests within mobile and multi-channel communications include statistical characterization and modelling of fading channels, performance analysis of diversity combining techniques, outage analysis of multi-user wireless systems subject to interference. Within digital communication, his current research interests include the information theory, source and channel coding, and signal processing. He has published over 40 SCI indexed papers. Currently, he works as docent at the Department of Informatics, Faculty of Natural Science and Mathematics, University of Pristina.

E-mail: [email protected]

Petar C. Spalevic

Petar C Spalevic was born in Kraljevo, Serbia, in 1973. He received the BS degree from Faculty of Electronic Engineering, University of Pristina, in 1997, and the MS and PhD degrees from Faculty of Electronic Engineering, University of Niš, in 1999 and 2003, respectively. He is a professor with Faculty of Technical Sciences in Kosovska Mitrovica. His primary research interests are statistical communications theory, wireless communications, applied probability theory, and optimal receiver design.

E-mail: [email protected]

Bojan P. Prlincevic

Bojan P Prlincevic was born in Pristina, Serbia, in 1976. His research interests include performance analysis of wireless communication systems over fading channels, free space optical communication, and signal processing.

E-mail: [email protected]