Some Concepts and Results from Convex Analysis
In this chapter, we collect definitions, notational conventions and several results from convex analysis that may be helpful in better understanding the material covered in this manuscript. Proofs are provided only for selected results concerning the noti
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Foundations in Signal Processing, Communications and Networking Series Editors: W. Utschick, H. Boche, R. Mathar Vol. 1. Dietl, G. K. E. Linear Estimation and Detection in Krylov Subspaces, 2007 ISBN 978-3-540-68478-7 Vol. 2. Dietrich, F. A. Robust Signal Processing for Wireless Communications, 2008 ISBN 978-3-540-74246-3 Vol. 3. Stanczak, S., Wiczanowski, M. and Boche, H. Fundamentals of Resource Allocation in Wireless Networks, 2009 ISBN 978-3-540-79385-4
Sławomir Sta´nczak · Marcin Wiczanowski · Holger Boche
Fundamentals of Resource Allocation in Wireless Networks Theory and Algorithms With 30 Figures Second Expanded Edition
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PD Dr.-Ing. habil. Sławomir Sta´nczak Technische Universit¨at Berlin Heinrich Hertz Chair for Mobile Communications and Fraunhofer German-Sino Lab for Mobile Communications Einsteinufer 37, 10587 Berlin Germany [email protected]
Dr.-Ing. Marcin Wiczanowski Technische Universit¨at Berlin Heinrich Hertz Chair for Mobile Communications and Fraunhofer German-Sino Lab for Mobile Communications Einsteinufer 37,10587 Berlin Germany [email protected]
Prof. Dr.-Ing. Dr.rer.nat. Holger Boche Technische Universit¨at Berlin Heinrich Hertz Chair for Mobile Communications and Fraunhofer German-Sino Lab for Mobile Communications and Fraunhofer Institute for Telecommunications Heinrich Hertz Institute Einsteinufer 37, 10587 Berlin Germany [email protected]
ISSN 1863-8538 e-ISSN 1863-8546 ISBN 978-3-540-79385-4 e-ISBN 978-3-540-79386-1 DOI 10.1007/978-3-540-79386-1 Springer Dordrecht Heidelberg London New York Library of Congress Control Number: 2009930679 c Springer-Verlag Berlin Heidelberg 2009 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)
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