MIMO Signals and Systems

This text evolved from notes used to teach two-semester courses on multi-port signals and systems theory and vector-valued signal transmission to third-year electrical and computer engineering students. It is also based on the author's tutorial courses on

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Infonnation Technology: Transmission, Processing, and Storage Series Editor:

Jack Keil Wolf University of California at San Diego La Jolia, California

Editorial Board: Robert J. McEliece California Institute of Technology Pasadena, California

John Proakis Northeastern University Boston, Massachusetts

William H. Tranter Virginia Polytechnic Institute and State University Blacksburg, Virginia

Coded Modulation Systems John B. Anderson and Arne Svensson Communication System Design Using DSP Algorithms: With Laboratory Experiments for the TMS320C6701 and TMS320C6711 Steven A. Tretter Interference Avoidance Methods for Wireless Systems Dimitrie C. Popescu and Christopher Rose MIMO Signals and Systems Horst J. Bessai Performance Analysis and Modeling of Digital Transmission Systems William Turin Stochastic Image Processing Chee Sun Won and Robert M. Gray Wireless Communications Systems and Networks Mohsen Guizani

A Continuation Order Plan is available for this series. A continuation order will bring delivery of each new volume immediately upon publication. Volumes are billed only upon actual shipment. For further information please contact the publisher.

MIMO SIGNALS AND SYSTEMS

Horst J. Bessai University of Siegen Siegen, Germany

~ Springer

Library of Congress Cataloging-in-Publication Data Bessai, Horst J. MIMO signals and systems I by Horst J. Bessai. p. cm. -- (Information technology--transmission, processing, and storage) Includes bibliographical references and index. ISBN 0-387-23488-8 1. Signal processing--Mathematics. 2. MIMO systems. 3. Wireless communication systems. I. Title. II. Series. TK.5102.9.B472005 621.3 82'2--dc22 2004060675

ISBN 0-387-23488-8 ©2005 Springer Science+Business Media, Inc. All rights reserved. This work may not be translated or copied in whole or in part without the written permission of the publisher (Springer Science + Business Media, Inc., 233 Spring Street, New York, NY 10013, USA), except for brief excerpts in connection with reviews or scholarly analysis. Use in connection with any form of information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed is forbidden. The use in this publication of trade names, trademarks, service marks and similar terms, even if they are not identified as such, is not to be taken as an expression of opinion as to whether or not they are subject to proprietary rights. Printed in the United States of America. 987

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Dedicated to my wife Ellen and my son Jan for their love, understanding, and support.

PREFACE

This text evolved from notes used to teach two-semester courses on multi-port signals and systems theory and vector-valued signal transmission to third-year electrical and computer engineering students. It is also based on the author's tutorial courses on the subject presented to practicing engineers in industry. The primary motivation has been to familiarize the reader with the essential tools and methods used