On the Achievable Rate of Stationary Fading Channels

Virtually all mobile communications systems face the problem that transmission takes place over a time-varying fading channel whose realization is unknown to the receiver. For the design of communication systems it is important to know performance limits

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Meik Dörpinghaus

On the Achievable Rate of Stationary Fading Channels

Series Editors: Wolfgang Utschick TU Munich Associate Institute for Signal Processing Arcisstrasse 21 80290 Munich, Germany

Holger Boche TU Berlin Dept. of Telecommunication Systems Heinrich-Hertz-Chair for Mobile Communications Einsteinufer 25 10587 Berlin, Germany

Rudolf Mathar RWTH Aachen University Institute of Theoretical Information Technology 52056 Aachen, Germany Author: Meik Dörpinghaus RWTH Aachen University Institute for Theoretical Information Technology Templergraben 55 52056 Aachen Germany [email protected]

ISSN 1863-8538 e-ISSN 1863-8546 ISBN 978-3-642-19779-6 e-ISBN 978-3-642-19780-2 DOI 10.1007/978-3-642-19780-2 Springer Heidelberg Dordrecht London New York Library of Congress Control Number: 2011925368 c Springer-Verlag Berlin Heidelberg 2011  This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilm or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, 1965, in its current version, and permission for use must always be obtained from Springer. Violations are liable to prosecution under the German Copyright Law. The use of general descriptive names, registered names, trademarks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. Cover design: eStudio Calamar S.L. Printed on acid-free paper Springer is part of Springer Science+Business Media (www.springer.com)

To my parents and Anke

Preface

In typical mobile communication systems transmission takes place over a time-varying fading channel. The stochastic channel fading process can assumed to be bandlimited and its realization is usually unknown to the receiver. To allow for a coherent signal detection, the channel fading process is often estimated based on pilot symbols which are periodically inserted into the transmit symbols sequence. The achievable data rate with this approach depends on the dynamics of the channel fading process. For this conventional approach, i.e., performing channel estimation solely based on pilot symbols and using it for coherent detection (synchronized detection) in a second step, bounds on the achievable data rate are known. However, in recent years receiver structures got into the focus of research, where the channel estimation is iteratively enhanced based on the reliability information on data symbols (code-aided channel estimation). For this kind of systems, the bounds on the achievable data rate with synchronized detection based on a solely pilot based channel estimation are no longer valid. Th