Performance Analysis of Tikhonov Distributed Phase Error over Wireless Fading Channels
Jasjeet Singh Pannu
Jasjeet Singh Pannu, Electronics And Communication Engineering, Iftm University, Moradabad, India.
Manuscript received on May 19, 2013. | Revised Manuscript received on June 03, 2013. | Manuscript published on June 30, 2013. | PP: 292-295 | Volume-2, Issue-5, June 2013. | Retrieval Number: E1812062513/2013©BEIESP
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© The Authors. Blue Eyes Intelligence Engineering and Sciences Publication (BEIESP). This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)
Abstract: There is need to formulate an accurate and thoroughly reproducible error model for wireless mobile channels in order to enhance the quality of communication by using better modulation and coding schemes. However the various physical properties of propagation mode, distortion due to error in physical wireless medium and the synchronization mismatch between transmitter and receiver, leads to difficulty in modelling of the error performance of wireless channels. Phase shift keying (PSK) is one of the best modulation schemes for wireless applications mainly due to its bandwidth efficiency and constant envelope. Inspite of these advantages, PSK systems are prone to phase synchronization error which becomes even more vital issue in wireless systems as calculating correct phase over a random propagation medium is almost impossible. As a result, in addition with AWGN and fading, the synchronization mismatch of the phase between the transmitter and receiver evaluates the error performance of a wireless system. This paper examines the problem of wrong phase evaluation for the BPSK as well as for the case of general MPSK signals over Rayleigh, Nakagami-n (Rician), Nakagami-m and Nakagami-q (Hoyt) fading channels. The phase distortions are assumed to be random, unbiased, i.e. having zero-mean and may be represented by a Tikhonov distribution. The major contributions of related works were surveyed and the method that requires minimum mathematical operations (and thus proves to be less complex, more stable and accurate than others) is also explained. Apart from this, simple alternative approaches for obtaining analytical bit error rate (BER) for BPSK and symbol error rate (SER) through moment generating function (MGF) for Tikhonov distributed phase error have been proposed. The MGF methodology has wider applicability, is able to obtain reproducible results, and shows significant improvement in accuracy regarding theoretical BER calculation as seen from the graphical comparisons. Extensive Monte Carlo simulations that builds models of possible results by substituting a range of values were also performed to validate the theoretical results presented in the research paper.
Keywords: Bit error rate, Montecarlo simulation, Synchronization, and Tikhonov distribution.