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Performance Optimization of High Order QAM in Presence of Phase Noise and AWGN: Application to a Decision Directed Frequency Synchronization System

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Abstract

The paper presents an analysis of the impact of Local Oscillators (LO) phase noise on the performance of digital transmission systems. Using an efficient phase noise model, we study degradations induced by phase noise and Additive White Gaussian Noise (AWGN) on a carrier recovery system combined to high order Quadrature Amplitude Modulations (QAM). Simulation results show that an optimum trade-off between AWGN and phase noise robustness for the loop bandwidth can be determined. In order to compare simulated and analytical performance, a new general expression of the bit error probability is developped for square QAM in the presence of phase noise over Gaussian channel. Furthermore, novel decision areas related to Quadrature Amplitude Modulations are determined in order to improve the performance of the carrier recovery algorithm in the presence of phase noise and frequency offset.

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Correspondence to Stéphane Bougeard.

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Stéphane Bougeard received his Master Degree in electrical engineering from the National Institute of Applied Sciences (INSA) of Rennes, France, in 1998. Then, he prepared a thesis on the optimization of digital communication systems in presence of phase noise and received his PhD degree in 2001. He is currently postdoc in the Institute of Electronics and Telecommunications of Rennes (IETR). His current research interest concerns Space-Time Trellis Coded Modulations and multi-antennas MC-CDMA systems.

Jean-François Hélard received his Dipl.-Ing. from the National Institute of Applied Sciences (INSA) of Rennes, France, in 1981. From 1982 to 1997, he was research engineer and then head of the channel coding for digital broadcasting research group at the CCETT (France Telecom Research Center) in Rennes, where he worked successively on Digital Audio Broadcasting within EUREKA 147 DAB and Terrestrial Digital Video Broadcasting (DVBT) within the framework of the European project dTTb. In 1992, he received the Ph.D degree in Electronics and joined INSA in 1997, where he is currently a Professor and head of the group “Communications, Propagation and Radars'' of the Rennes Institute for Electronics and Telecommunications (IETR) which depends on the French National Centre for Scientific Research (CNRS). His present research interests lie in signal processing techniques for digital communications, as space-time and channel coding, multicarrier modulation, spread spectrum and multi-user communications. He is author or co-author of more than 50 technical papers in international scientific journals and conferences, holds 11 European patents.

Isabelle Siaud received the Electronic Master Dipl from the University Pierre et Marie Curie (UMPC Paris VI) in 1992. From 1993 to 1998, she was a Research Engineer at France Telecom R&D at the Outil d'Ingénierie pour la Propagation (OIP) laboratory at Belfort. She worked on wideband propagation modelling for future mobile radio communications and short range millimetric radio transmissions. In 1999, she joined the team of France Telecom R&D at Rennes in charge of defining innovative PHY layer systems turned to multi-carrier techniques. She was implied in the DRM consortium which specified a new ETSI standard for ionospheric broadcasting transmissions. Actually, she works on innovative PHY layer systems for short range WPANs systems based Ultra Wideband techniques. She is a head of the Ultra Wideband – MultiCarrier (UWB-MC) cluster of the IST/FP6 MAGNET project and significantly contributed to French consortium evaluating millimetric radio transmission systems. She devotes some time to teaching radio communications at the University UMPC Paris VI within the SdI ESCO Master.

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Bougeard, S., Hélard, JF. & Siaud, I. Performance Optimization of High Order QAM in Presence of Phase Noise and AWGN: Application to a Decision Directed Frequency Synchronization System. Wireless Pers Commun 37, 123–138 (2006). https://doi.org/10.1007/s11277-006-8863-x

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