Foundations in Signal Processing, Communications and Networking
|
|
- Lynn Dennis
- 6 years ago
- Views:
Transcription
1 Foundations in Signal Processing, Communications and Networking Series Editors: W. Utschick, H. Boche, R. Mathar For other titles published in this series, go to
2
3 Meik Dörpinghaus On the Achievable Rate of Stationary Fading Channels
4 Series Editors: Wolfgang Utschick TU Munich Associate Institute for Signal Processing Arcisstrasse Munich, Germany Holger Boche TU Berlin Dept. of Telecommunication Systems Heinrich-Hertz-Chair for Mobile Communications Einsteinufer Berlin, Germany Rudolf Mathar RWTH Aachen University Institute of Theoretical Information Technology Aachen, Germany Author: Meik Dörpinghaus RWTH Aachen University Institute for Theoretical Information Technology Templergraben Aachen Germany ISSN e-issn ISBN e-isbn DOI / Springer Heidelberg Dordrecht London New York Library of Congress Control Number: 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 (
5 To my parents and Anke
6
7 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. The study of the possible performance gain when using such receivers with synchronized detection and a code-aided channel estimation in comparison to synchronized detection in combination with a solely pilot based channel estimation poses also the question on the capacity of stationary fading channels. Although such channels are typical for many practical mobile communication systems, already for the simple case of a Rayleigh flat-fading channel the capacity and the capacity-achieving input distribution are unknown. There exist bounds on the capacity, however, most of them are tight only in a limited SNR regime and rely on a peak power constraint. Thinking of this, in the present thesis various aspects regarding the capacity/achievable data rate of stationary Rayleigh fading channels are treated. First, bounds on the achievable data rate with i.i.d. zero-mean proper Gaussian input symbols, which are capacity achieving in the coherent case, i.e., in case of perfect channel knowledge at the receiver, are derived. These bounds are tight in the sense that the difference between the upper and the lower bound is bounded for all SNRs. The lower bound converges to the cohervii
8 viii Preface ent capacity for asymptotically small channel dynamics. Furthermore, these bounds are extended to the case of multiple-input multiple-output (MIMO) channels and to the case of frequency selective channels. The comparison of these bounds on the achievable rate with i.i.d. zeromean proper Gaussian input symbols to the achievable rate while using receivers with synchronized detection based on a solely pilot based channel estimation already gives an indication on the performance of such conventional receiver structures. However, for systems with receivers based on iterative code-aided channel estimation periodic pilot symbols are still used. Therefore, in a further part of the present work the achievable rate with receivers based on synchronized detection and a code-aided channel estimation is studied. For a specific type of such a receiver an approximate upper bound on the achievable rate is derived. The comparison of this approximate upper bound and the achievable data rate with receivers using synchronized detection based on a solely pilot based channel estimation gives an approximate upper bound on the possible gain by using this kind of code-aided channel estimation in comparison to the conventional receiver using a solely pilot based channel estimation. In addition, the achievable data rate with an optimal joint processing of pilot and data symbols is studied and a lower bound on the achievable rate for this case is derived. In this context, it is also shown which part of the mutual information of the transmitter and the receiver is discarded when using the conventional receiver with synchronized detection based on a solely pilot based channel estimation. Concerning the typically applied periodic pilot symbols the question arises if these periodic pilot symbols are optimal from an information theoretic perspective. To address this question, the mutual information between transmitter and receiver is studied for a given discrete signaling set. The optimum input distribution, i.e., the one that maximizes the mutual information when restricting to the given signaling set, is given implicitly based on the Kullback-Leibler distance. Thereon it is shown that periodic pilot symbols are not capacity-achieving in general. However, for practical systems they allow for receivers with small computational complexity. Acknowledgements The work presented in this book has been carried out during my time as a research assistant at the Institute for Integrated Signal Processing Systems at RWTH Aachen University. Throughout this time I had the opportunity to work, discuss, and collaborate with many brilliant people. Their comments, thoughts, and also criticism has been very beneficial during the course of this work and helped me to learn, understand, and apply the fundamental concepts of information and communication theory. ThereareanumberofpeopleIwishtothankmakingallthispossible.First I thank my advisors Prof. Heinrich Meyr and Prof. Gerd Ascheid. The given
9 Preface ix work was initiated by their intriguing question What can we gain by iteratively enhancing the channel estimation using reliability information on data symbols?.prof.meyrand Prof.Ascheidgaveme the freedom andtime tofollow my ideas to use information theory to find answers to the given question. I want to thank them for their support over the years. Their continuous encouragement and faith in my abilities have been very motivating. Especially, I would like to thank Prof. Meyr for very valuable discussions which have been particularly fruitful by bringing together his deep knowledge on estimation and detection theory and my thoughts and ideas in information theory. Furthermore, I thank Prof. Helmut Bölcskei for reading an earlier version of the present manuscript. In addition, I appreciate that he invited me to the Communication Theory Group at ETH Zurich in June This exciting stay in Zurich gave me invaluable insights and the opportunity to discuss with Giuseppe Durisi, Ulrich Schuster, and Veniamin Morgenshtern. Besides the fact that all of them are outstanding researchers, I would like to thank them for their friendly welcome and their openness in sharing their knowledge. With Veniamin I have discussed my approach of bounding the achievable rate of a stationary Rayleigh flat-fading channel using means of random matrix theory. Although we did not came up with a solution, this collaboration has been rewarding as we understand the underlying problems. During these discussions I learned a lot from Veniamin who has a deep knowledge in random matrix theory. Furthermore, I have to thank Giuseppe and Uli for discussing several aspects of the capacity of noncoherent fading channels during my stay at ETH. In addition, I gracefully thank Giuseppe Durisi, with whom I discussed large parts of the present work when he came to Aachen in June By pinpointing weaknesses in some of my proofs, his comments and critics have enhanced the present work a lot. I also thank Prof. Rudolf Mathar for interesting discussions on the parts regarding discrete input distributions covered in Chapter 10. This part of the work emerged after a talk on Capacity-Achieving Discrete Signaling over Additive Noise Channels given by him on the UMIC day in A few weeks later I discussed the application of this approach to the scenario of a stationary Rayleigh flat-fading channel with him, resulting in an ISIT publication. In addition, I thank my colleagues at the Institute for Integrated Signal Processing Systems for a pleasant working environment. Especially I would like to thank Adrian Ispas, Lars Schmitt, Susanne Godtmann, Martin Senst, and Dan Zhang for many helpful and inspiring discussions. Special thanks are due to Adrian Ispas with whom I had endless discussions about the material in the present manuscript especially during the final phase of the work. Last but not least, I thank my parents for their continuous support during my studies enabling all this. Lastly, I am particularly indebted to my girlfriend Anke, for her patience and her encouragement which essentially contributes to the success of this work. Aachen, August 2010 Meik Dörpinghaus
10
11 Contents 1 Introduction Prior Work Objectives and Contributions Outline Discrete-Time Flat-Fading System Model Rayleigh Fading and Jakes Model Matrix-Vector Notation Limitations of the Model Operational and Information Theoretic Capacity Outage Capacity Bounds on the Achievable Rate of a Flat-Fading Channel The Mutual Information Rate I (y;x) The Received Signal Entropy Rate h (y) Lower Bound on h (y) Upper Bound on h (y) The Entropy Rate h (y x) Upper Bound on h (y x) Lower Bound on h (y x) for a Rectangular PSD The Achievable Rate Upper Bound Lower Bound Tightness of Bounds on the Achievable Rate The Asymptotic High SNR Behavior Comparison to Asymptotes in [67] Comparison to Bounds in [105] and [107] Summary xi
12 xii Contents 4 Bounds on the Achievable Rate of a Flat-Fading Channel Based on Prediction Calculation of h (y x) based on Channel Prediction Upper Bound on h (y) Simple Upper Bound on h (y) Ideas for an Enhanced Upper Bound on h (y) Upper Bound on the Achievable Rate The Prediction Error Variance Effect of Constraints on the Input Distribution Comparison to Bounds given in Chapter Numerical Evaluation Relation of Bounds on h (y x) Summary Pilot Based Synchronized Detection Synchronized Detection Channel Estimation Interleaving and Detection/Decoding Achievable Rate Comparison to the Achievable Rate with i.i.d. Gaussian Inputs Optimized Pilot-to-Data Power Ratio Summary Iterative Code-Aided Synchronized Detection Principle of Iterative Code-Aided Synchronized Detection Modified Channel Estimation Unit Achievable Rate with Iterative Code-Aided Synchronized Detection Upper-Bounding Approach on the Achievable Rate The Channel Interpolation Separation Inequality The Term I(y 0 ;x 0 y \0,x \0 ) The Term I(y 0 ;x \0 y \0 ) An Upper Bound on I(x 0 ;y 0 ĥ0,x \0 ) Approximative Upper Bound on the Achievable Rate with the Iterative Code-Aided Synchronized Detection based Receiver using the Modified Channel Estimator (6.19) Numerical Evaluation Summary Joint Processing of Pilot and Data Symbols System Model Expressing I(y;x) via the Pilot based Channel Estimate ĥpil Lower Bound on the Achievable Rate with Joint Processing.. 141
13 Contents xiii Fixed Pilot Spacing Optimal Pilot Spacing Numerical Evaluation Summary MIMO Flat-Fading Channels MIMO System Model Spatially Uncorrelated Channel Spatial Antenna Correlation Bounds on the Achievable Rate The Received Signal Entropy Rate h (y) The Entropy Rate h (y x) The Achievable Rate Comparison with Pilot Based Synchronized Detection Achievable Rate Summary Frequency-Selective Channels Channel Model Stochastic Characterization The Underspread Assumption Discrete-Time Discrete-Frequency Input-Output Relation Bounds on the Achievable Rate The Channel Output Entropy Rate h (y) The Entropy Rate h (y x) The Achievable Rate Comparison with Pilot Based Synchronized Detection Channel Estimation Achievable Rate Summary Optimum Discrete Signaling Capacity of a Discrete Input Time-Selective Block Fading Channel Optimum Discrete Input Distributions Constant Modulus Input Distributions Distinguishable Transmit Sequences Optimum Input Distribution Asymptotic SNR Behavior Interpretation Numerical Results What about Periodic Pilot Symbols in Stationary Fading? Conclusion Conclusion
14 xiv Contents A Mathematical Derivations and Proofs A.1 Modified Upper Bound on h (y) for PG Inputs A.2 Calculation of Sufficient Conditions for α opt = 1 in (3.76) A.3 Proof of Monotonicity of h (y) A.4 Calculation of E[ε pred ] for the Enhanced Upper Bound on h (y) A.5 Proof of Convexity of (4.49) A.6 One-Step Prediction Error Variance A.7 Proof of Equivalency of (5.1) and (5.5) for CM input symbols 265 A.8 Proof of Monotonicity of (6.58) A.9 Proof of Inequality (A.75) A.10 Comparison of Interpolation and Prediction Error Variance A.11Proof for Minimization of h (e joint x D,x P ) in (7.23) by CM Modulation A.12Estimation Error Spectra S epil (f) and S ejoint,cm (f) A.13Proof of Inequality (9.53) Abbreviations List of Symbols References Index
Design for Innovative Value Towards a Sustainable Society
Design for Innovative Value Towards a Sustainable Society Mitsutaka Matsumoto Yasushi Umeda Keijiro Masui Shinichi Fukushige Editors Design for Innovative Value Towards a Sustainable Society Proceedings
More informationMATLAB Guide to Finite Elements
MATLAB Guide to Finite Elements Peter I. Kattan MATLAB Guide to Finite Elements An Interactive Approach Second Edition With 108 Figures and 25 Tables Peter I. Kattan, PhD P.O. BOX 1392 Amman 11118 Jordan
More informationAdaptive Wireless. Communications. gl CAMBRIDGE UNIVERSITY PRESS. MIMO Channels and Networks SIDDHARTAN GOVJNDASAMY DANIEL W.
Adaptive Wireless Communications MIMO Channels and Networks DANIEL W. BLISS Arizona State University SIDDHARTAN GOVJNDASAMY Franklin W. Olin College of Engineering, Massachusetts gl CAMBRIDGE UNIVERSITY
More informationTechnology Roadmapping for Strategy and Innovation
Technology Roadmapping for Strategy and Innovation Martin G. Moehrle, Ralf Isenmann, and Robert Phaal (Eds.) Technology Roadmapping for Strategy and Innovation Charting the Route to Success ABC Editors
More informationHealth Information Technology Standards. Series Editor: Tim Benson
Health Information Technology Standards Series Editor: Tim Benson Tim Benson Principles of Health Interoperability HL7 and SNOMED Second Edition Tim Benson Abies Ltd Hermitage, Thatcham Berkshire UK ISBN
More informationSpringerBriefs in Space Development
SpringerBriefs in Space Development Guest Editor: Jinyuan Su More information about this series at http://www.springer.com/series/10058 Joseph N. Pelton New Solutions for the Space Debris Problem Joseph
More informationFaster than Nyquist Signaling
Faster than Nyquist Signaling Deepak Dasalukunte Viktor Öwall Fredrik Rusek John B. Anderson Faster than Nyquist Signaling Algorithms to Silicon 123 Deepak Dasalukunte Lantiq Bangalore, India Fredrik
More informationAdvances in Metaheuristic Algorithms for Optimal Design of Structures
Advances in Metaheuristic Algorithms for Optimal Design of Structures ThiS is a FM Blank Page A. Kaveh Advances in Metaheuristic Algorithms for Optimal Design of Structures A. Kaveh School of Civil Engineering,
More informationAdvances in Computer Vision and Pattern Recognition
Advances in Computer Vision and Pattern Recognition For further volumes: http://www.springer.com/series/4205 Marco Alexander Treiber Optimization for Computer Vision An Introduction to Core Concepts and
More informationRequirements Engineering for Digital Health
Requirements Engineering for Digital Health Samuel A. Fricker Christoph Thümmler Anastasius Gavras Editors Requirements Engineering for Digital Health Editors Samuel A. Fricker Blekinge Institute of Technology
More informationK-Best Decoders for 5G+ Wireless Communication
K-Best Decoders for 5G+ Wireless Communication Mehnaz Rahman Gwan S. Choi K-Best Decoders for 5G+ Wireless Communication Mehnaz Rahman Department of Electrical and Computer Engineering Texas A&M University
More informationICT for the Next Five Billion People
ICT for the Next Five Billion People Arnold Picot Josef Lorenz Editors ICT for the Next F Five Billion People Information and Communication for Sustainable Development Editors Prof. Dr. Dr. Arnold Picot
More informationModeling Manufacturing Systems. From Aggregate Planning to Real-Time Control
Modeling Manufacturing Systems From Aggregate Planning to Real-Time Control Springer-Verlag Berlin Heidelberg GmbH Paolo Brandimarte. Agostino Villa (Eds.) Modeling Manufacturing Systems From Aggregate
More informationArchitecture Design and Validation Methods
Architecture Design and Validation Methods Springer-Verlag Berlin Heidelberg GmbH Egon Börger (Ed.) Architecture Design and Validation Methods With 175 Figures, Springer Editor Prof. Dr. Egon Börger Universita
More informationFounding Editor Martin Campbell-Kelly, University of Warwick, Coventry, UK
History of Computing Founding Editor Martin Campbell-Kelly, University of Warwick, Coventry, UK Series Editor Gerard Alberts, University of Amsterdam, Amsterdam, The Netherlands Advisory Board Jack Copeland,
More informationCognitive Systems Monographs
Cognitive Systems Monographs Volume 9 Editors: Rüdiger Dillmann Yoshihiko Nakamura Stefan Schaal David Vernon Heiko Hamann Space-Time Continuous Models of Swarm Robotic Systems Supporting Global-to-Local
More informationApplication of Evolutionary Algorithms for Multi-objective Optimization in VLSI and Embedded Systems
Application of Evolutionary Algorithms for Multi-objective Optimization in VLSI and Embedded Systems M.C. Bhuvaneswari Editor Application of Evolutionary Algorithms for Multi-objective Optimization in
More informationANALOG CIRCUITS AND SIGNAL PROCESSING
ANALOG CIRCUITS AND SIGNAL PROCESSING Series Editors Mohammed Ismail, The Ohio State University Mohamad Sawan, École Polytechnique de Montréal For further volumes: http://www.springer.com/series/7381 Yongjian
More informationSpringer Series on. Signals and Communication Technology
Springer Series on Signals and Communication Technology Signals and Communication Technology Functional Structures in Networks AMLn A Language for Model Driven Development of Telecom Systems T. Muth ISBN
More informationSustainable Development
Sustainable Development Anne E. Egelston Sustainable Development A History 123 Dr. Anne E. Egelston Government Department Lone Star College-Montgomery Conroe, TX 77384 USA Quotations from Reimann (2006)
More informationOn the Capacity Region of the Vector Fading Broadcast Channel with no CSIT
On the Capacity Region of the Vector Fading Broadcast Channel with no CSIT Syed Ali Jafar University of California Irvine Irvine, CA 92697-2625 Email: syed@uciedu Andrea Goldsmith Stanford University Stanford,
More informationHandbook of Engineering Acoustics
Handbook of Engineering Acoustics . Gerhard M uller Michael M oser Editors Handbook of Engineering Acoustics Editors Prof. Dr. Gerhard M uller Technische Universit at M unchen Lehrstuhl f ur Baumechanik
More informationApplied Technology and Innovation Management
Applied Technology and Innovation Management Heinrich Arnold Michael Erner Peter Möckel Christopher Schläffer Editors Applied Technology and Innovation Management Insights and Experiences from an Industry-Leading
More informationEnabling Manufacturing Competitiveness and Economic Sustainability
Enabling Manufacturing Competitiveness and Economic Sustainability Hoda A. ElMaraghy Editor Enabling Manufacturing Competitiveness and Economic Sustainability Proceedings of the 4th International Conference
More informationEmerging Technologies for High-Speed Mobile Communication
Dr. Gerd Ascheid Integrated Signal Processing Systems (ISS) RWTH Aachen University D-52056 Aachen GERMANY gerd.ascheid@iss.rwth-aachen.de ABSTRACT Throughput requirements in mobile communication are increasing
More informationSpringerBriefs in Space Development
SpringerBriefs in Space Development Series Editor: Joseph N. Pelton, Jr. For further volumes: http://www.springer.com/series/10058 Audrey L. Allison The ITU and Managing Satellite Orbital and Spectrum
More informationTECHNOLOGY, INNOVATION, and POLICY 3. Series of the Fraunhofer Institute for Systems and Innovation Research (lsi)
TECHNOLOGY, INNOVATION, and POLICY 3 Series of the Fraunhofer Institute for Systems and Innovation Research (lsi) Guido Reger Ulrich Schmoch (Eds.) Organisation of Science and Technology at the Watershed
More informationDry Etching Technology for Semiconductors. Translation supervised by Kazuo Nojiri Translation by Yuki Ikezi
Dry Etching Technology for Semiconductors Translation supervised by Kazuo Nojiri Translation by Yuki Ikezi Kazuo Nojiri Dry Etching Technology for Semiconductors Kazuo Nojiri Lam Research Co., Ltd. Tokyo,
More informationRisk-Based Ship Design
Risk-Based Ship Design Apostolos Papanikolaou (Ed.) Risk-Based Ship Design Methods, Tools and Applications Authored by Carlos Guedes Soares, Andrzej Jasionowski, Jørgen Jensen, Dag McGeorge, Apostolos
More informationAcoustic Emission Testing
Acoustic Emission Testing Christian U. Grosse (Eds.) Acoustic Emission Testing 123 Christian U. Grosse Department of Non-destructive Testing and Monitoring Techniques Material Testing Institute MPA University
More informationIntroduction to Computational Optimization Models for Production Planning in a Supply Chain
Introduction to Computational Optimization Models for Production Planning in a Supply Chain Stefan Voß David L.Woodruff Introduction to Computational Optimization Models for Production Planning in a Supply
More informationComputer Supported Cooperative Work. Series Editor Richard Harper Cambridge, United Kingdom
Computer Supported Cooperative Work Series Editor Richard Harper Cambridge, United Kingdom The CSCW series examines the dynamic interface of human nature, culture, and technology. Technology to support
More informationIN RECENT years, wireless multiple-input multiple-output
1936 IEEE TRANSACTIONS ON WIRELESS COMMUNICATIONS, VOL. 3, NO. 6, NOVEMBER 2004 On Strategies of Multiuser MIMO Transmit Signal Processing Ruly Lai-U Choi, Michel T. Ivrlač, Ross D. Murch, and Wolfgang
More informationZEW Economic Studies. Publication Series of the Centre for European Economic Research (ZEW), Mannheim, Germany
ZEW Economic Studies Publication Series of the Centre for European Economic Research (ZEW), Mannheim, Germany ZEW Economic Studies Vol. 1: O. Hohmeyer, K. Rennings (Eds.) Man-Made Climate Change Economic
More informationMatthias Pilz Susanne Berger Roy Canning (Eds.) Fit for Business. Pre-Vocational Education in European Schools RESEARCH
Fit for Business Matthias Pilz Susanne Berger Roy Canning (Eds.) Fit for Business Pre-Vocational Education in European Schools RESEARCH Editors Matthias Pilz, Susanne Berger, Cologne, Germany Roy Canning
More informationScientific Data Mining and Knowledge Discovery
Scientific Data Mining and Knowledge Discovery Mohamed Medhat Gaber Editor Scientific Data Mining and Knowledge Discovery Principles and Foundations ABC Editor Mohamed Medhat Gaber Caulfield School of
More informationSimulation by Bondgraphs
Jean U. Thoma Simulation by Bondgraphs Introduction to a Graphical Method Springer-Verlag Berlin Heidelberg New York London Paris Tokyo Hong Kong 1990 Professor Dr. Jean Ulrich Thoma Dept. of Mechanical
More informationAdvances in Behavioral Economics
Advances in Behavioral Economics Professor Dr. Horst Todt Friedel Bolle Michael Carlberg (Eds.) Advances in Behavioral Economies Essays in Honor of Horst Todt With 31 Figures and 11 Tables Springer-Verlag
More informationStraBer Wahl Graphics and Robotics
StraBer Wahl Graphics and Robotics Wolfgang StrafSer Friedrich Wahl Editors Graphics and Robotics With 128 Figures, some in Colour, Springer Prof. Dr.-lng. Wolfgang StraBer Wilhelm-Schickard-lnstitut fur
More informationWireless Communications Over Rapidly Time-Varying Channels
Wireless Communications Over Rapidly Time-Varying Channels Edited by Franz Hlawatsch Gerald Matz ELSEVIER AMSTERDAM BOSTON HEIDELBERG LONDON NEW YORK OXFORD PARIS SAN DIEGO SAN FRANCISCO SINGAPORE SYDNEY
More informationBroadband Networks, Smart Grids and Climate Change
Broadband Networks, Smart Grids and Climate Change Eli M. Noam Lorenzo Maria Pupillo Johann J. Kranz Editors Broadband Networks, Smart Grids and Climate Change Editors Eli M. Noam Columbia Business School
More informationOffshore Energy Structures
Offshore Energy Structures Madjid Karimirad Offshore Energy Structures For Wind Power, Wave Energy and Hybrid Marine Platforms 1 3 ISBN 978-3-319-12174-1 ISBN 978-3-319-12175-8 (ebook) DOI 10.1007/978-3-319-12175-8
More informationPierre-Yves Henin (Ed.) Advances in Business Cycle Research
Pierre-Yves Henin (Ed.) Advances in Business Cycle Research Springer-V erlag Berlin Heidelberg GmbH Pierre-Yves Henin (Ed.) Advances in Business Cycle Research With Application to the French and US Economies
More informationContributions to Management Science
Contributions to Management Science For further volumes: http.//www.springer.com/series/1505 . René Rohrbeck Corporate Foresight Towards a Maturity Model for the Future Orientation of a Firm Dr. René Rohrbeck
More informationDao Companion to the Analects
Dao Companion to the Analects Dao Companions to Chinese Philosophy Series Editor HUANG Yong Department of Philosophy The Chinese University of Hong Kong Shatin, New Territories Hong Kong E-mail: yonghuang@cuhk.edu.hk
More informationU. Lindemann (Ed.) Human Behaviour in Design
U. Lindemann (Ed.) Human Behaviour in Design Springer-Verlag Berlin Heidelberg GmbH Engineering ONLINE LIBRARY http://www.springer.de/engine/ Udo Lindemann (Ed.) Human Behaviour in Design Individuals,
More informationDynamics of Fibre Formation and Processing
Dynamics of Fibre Formation and Processing Roland Beyreuther Harald Brünig Dynamics of Fibre Formation and Processing Modelling and Application in Fibre and Textile Industry With 171 Figures 123 Prof.
More informationStatistics and Computing Series Editors: J. Chambers D. Hand W. Härdle
Statistics and Computing Series Editors: J. Chambers D. Hand W. Härdle For other titles published in this series, go to http://www.springer.com/series/3022 Roberto Baragona Francesco Battaglia Irene Poli
More informationSmart AD and DA Conversion
Smart AD and DA Conversion ANALOG CIRCUITS AND SIGNAL PROCESSING Consulting Editor: Mohammed Ismail. Ohio State University For other titles published in this series, go to www.springer.com/series/7381
More informationLecture Notes in Computational Science and Engineering 68
Lecture Notes in Computational Science and Engineering 68 Editors Timothy J. Barth Michael Griebel David E. Keyes Risto M. Nieminen Dirk Roose Tamar Schlick Sidney Yip Tomás Diaz de la Rubia Editors Scientific
More informationSpringer Series in Advanced Microelectronics
Springer Series in Advanced Microelectronics Volume 45 Series Editors Dr. Kiyoo Itoh, Kokubunji-shi, Tokyo, Japan Professor Thomas H. Lee, Stanford, CA, USA Professor Takayasu Sakurai, Minato-ku, Tokyo,
More information3432 IEEE TRANSACTIONS ON INFORMATION THEORY, VOL. 53, NO. 10, OCTOBER 2007
3432 IEEE TRANSACTIONS ON INFORMATION THEORY, VOL 53, NO 10, OCTOBER 2007 Resource Allocation for Wireless Fading Relay Channels: Max-Min Solution Yingbin Liang, Member, IEEE, Venugopal V Veeravalli, Fellow,
More informationLecture Notes in Control and Information Sciences
Lecture Notes in Control and Information Sciences Volume 467 Series editors Frank Allgöwer, Stuttgart, Germany Manfred Morari, Zürich, Switzerland Series Advisory Boards P. Fleming, University of Sheffield,
More informationData Assimilation: Tools for Modelling the Ocean in a Global Change Perspective
Data Assimilation: Tools for Modelling the Ocean in a Global Change Perspective NATO ASI Series Advanced Science Institutes Series A series presenting the results of activities sponsored by the NA TO Science
More informationLecture Notes in Computer Science 2500 Edited by G. Goos, J. Hartmanis, and J. van Leeuwen
Lecture Notes in Computer Science 2500 Edited by G. Goos, J. Hartmanis, and J. van Leeuwen 3 Berlin Heidelberg New York Barcelona Hong Kong London Milan Paris Tokyo Erich Grädel Wolfgang Thomas Thomas
More informationStudies in Economic Ethics and Philosophy
Studies in Economic Ethics and Philosophy Series Editor Peter Koslowski Editorial Board F. Neil Brady George Brenkert Geoffrey Brennan James M. Buchanan Thomas Donaldson Richard De George Jon Elster Amitai
More informationCross-Industry Innovation Processes
Cross-Industry Innovation Processes Tobias Hahn Cross-Industry Innovation Processes Strategic Implications for Telecommunication Companies Preface by Prof. Dr. Rüdiger Zarnekow Tobias Hahn Bonn, Germany
More informationAdvances in Modern Tourism Research
Advances in Modern Tourism Research Álvaro Matias Peter Nijkamp Paulo Neto (Eds.) Advances in Modern Tourism Research Economic Perspectives With 26 Figures and 65 Tables Prof. Dr. Álvaro Matias University
More informationDrones and Unmanned Aerial Systems
Drones and Unmanned Aerial Systems Aleš Završnik Editor Drones and Unmanned Aerial Systems Legal and Social Implications for Security and Surveillance 2123 Editor Aleš Završnik Institute of Criminology
More informationAdvanced Electronic Circuits
U. Tietze Ch. Schenk Advanced Electronic Circuits Wi th the Assistance of E. Schmid With 570 Figures Springer-Verlag Berlin Heidelberg New York 1978 Dr.-Ing. Ulrich Tietze Dr.-Ing. Christoph Schenk Universitat
More informationLecture Notes in Artificial Intelligence. Lecture Notes in Computer Science
Lecture Notes in Artificial Intelligence 897 Subseries of Lecture Notes in Computer Science Edited by J. G. Carbonell and J. Siekmann Lecture Notes in Computer Science Edited by G. Goos, J. Hartmanis and
More informationMultiple Antennas. Mats Bengtsson, Björn Ottersten. Basic Transmission Schemes 1 September 8, Presentation Outline
Multiple Antennas Capacity and Basic Transmission Schemes Mats Bengtsson, Björn Ottersten Basic Transmission Schemes 1 September 8, 2005 Presentation Outline Channel capacity Some fine details and misconceptions
More informationIN recent years, there has been great interest in the analysis
2890 IEEE TRANSACTIONS ON INFORMATION THEORY, VOL. 52, NO. 7, JULY 2006 On the Power Efficiency of Sensory and Ad Hoc Wireless Networks Amir F. Dana, Student Member, IEEE, and Babak Hassibi Abstract We
More informationFuture-Oriented Technology Analysis
Future-Oriented Technology Analysis Cristiano Cagnin Michael Keenan Ron Johnston Fabiana Scapolo Rémi Barré Editors Future-Oriented Technology Analysis Strategic Intelligence for an Innovative Economy
More informationLecture Notes in Computer Science Edited by G. Goos, J. Hartmanis and J. van Leeuwen
Lecture Notes in Computer Science 1528 Edited by G. Goos, J. Hartmanis and J. van Leeuwen 3 Berlin Heidelberg New York Barcelona Hong Kong London Milan Paris Singapore Tokyo Bart Preneel Vincent Rijmen
More informationCMOS Test and Evaluation
CMOS Test and Evaluation Manjul Bhushan Mark B. Ketchen CMOS Test and Evaluation A Physical Perspective Manjul Bhushan OctEval Hopewell Junction, NY, USA Mark B. Ketchen OcteVue Hadley, MA, USA ISBN 978-1-4939-1348-0
More informationCommunications in Computer and Information Science 85
Communications in Computer and Information Science 85 Albert Fleischmann Detlef Seese Christian Stary (Eds.) S-BPM ONE Setting the Stage for Subject-Oriented Business Process Management First International
More informationComputer-Aided Production Management
Asbj0rn Rolstadas (Ed.) Computer-Aided Production Management With 169 Figures Springer-Verlag Berlin Heidelberg New York London Paris Tokyo Professor Dr. Asbjern Ro1stadas Production Engineering Laboratory
More informationInnovation Policy in a Knowledge-Based Economy
Innovation Policy in a Knowledge-Based Economy Patrick Llerena Mireille Matt Editors Innovation Policy in a Knowledge-Based Economy Theory and Practice With Contributions by Arman Avadikyan Laurent Bach
More informationSocio-technical Design of Ubiquitous Computing Systems
Socio-technical Design of Ubiquitous Computing Systems Klaus David Kurt Geihs Jan Marco Leimeister Alexander Roßnagel Ludger Schmidt Gerd Stumme Arno Wacker Editors Socio-technical Design of Ubiquitous
More informationManagement of Recreation and Nature Based Tourism in European Forests
Management of Recreation and Nature Based Tourism in European Forests Ulrike Pröbstl Veronika Wirth Birgit Elands Simon Bell Editors Management of Recreation and Nature Based Tourism in European Forests
More informationLecture Notes in Applied and Computational Mechanics
Lecture Notes in Applied and Computational Mechanics Volume 28 Series Editors Prof. Dr.-Ing. Friedrich Pfeiffer Prof. Dr.-Ing. Peter Wriggers Lecture Notes in Applied and Computational Mechanics Edited
More informationMIMO Channel Capacity in Co-Channel Interference
MIMO Channel Capacity in Co-Channel Interference Yi Song and Steven D. Blostein Department of Electrical and Computer Engineering Queen s University Kingston, Ontario, Canada, K7L 3N6 E-mail: {songy, sdb}@ee.queensu.ca
More informationSynchronization in Digital Communications
Synchronization in Digital Communications Volume 1 Phase-, Frequency-Locked Loops, and Amplitude Control Heinrich Meyr Aachen University of Technology (RWTH) Gerd Ascheid CADIS GmbH, Aachen WILEY A Wiley-lnterscience
More informationWIRELESS COMMUNICATIONS
WIRELESS COMMUNICATIONS P. Muthu Chidambara Nathan Associate Professor Department of Electronics and Communication Engineering National Institute of Technology Tiruchirappalli, Tamil Nadu New Delhi-110001
More informationInnovations and the Environment
Innovations and the Environment Yoram Krozer Innovations and the Environment 123 Yoram Krozer, PhD Cartesius Institute Institute for Sustainable Innovations of the Netherlands Technical Universities Zuidergrachtswal
More informationComparative Channel Capacity Analysis of a MIMO Rayleigh Fading Channel with Different Antenna Spacing and Number of Nodes
Comparative Channel Capacity Analysis of a MIMO Rayleigh Fading Channel with Different Antenna Spacing and Number of Nodes Anand Jain 1, Kapil Kumawat, Harish Maheshwari 3 1 Scholar, M. Tech., Digital
More information3 Forensic Science Progress
3 Forensic Science Progress Forensic Science Progress Volume 3 With Contributions by C. A. Pounds, R. N. Smith With 19 Figures and 7 Tables Springer-Verlag Berlin Heidelberg New York London Paris Tokyo
More informationSpringerBriefs in Computer Science
SpringerBriefs in Computer Science Series Editors Stan Zdonik Shashi Shekhar Jonathan Katz Xindong Wu Lakhmi C. Jain David Padua Xuemin (Sherman) Shen Borko Furht V.S. Subrahmanian Martial Hebert Katsushi
More informationThe Future of Civil Litigation
The Future of Civil Litigation ThiS is a FM Blank Page Laura Ervo Editors The Future of Civil Litigation Access to Courts and Court-annexed Mediation in the Nordic Countries Editors Laura Ervo JPS University
More informationAntennas and Propagation. Chapter 6b: Path Models Rayleigh, Rician Fading, MIMO
Antennas and Propagation b: Path Models Rayleigh, Rician Fading, MIMO Introduction From last lecture How do we model H p? Discrete path model (physical, plane waves) Random matrix models (forget H p and
More informationPRINCIPLES OF SPREAD-SPECTRUM COMMUNICATION SYSTEMS
PRINCIPLES OF SPREAD-SPECTRUM COMMUNICATION SYSTEMS PRINCIPLES OF SPREAD-SPECTRUM COMMUNICATION SYSTEMS By DON TORRIERI Springer ebook ISBN: 0-387-22783-0 Print ISBN: 0-387-22782-2 2005 Springer Science
More informationPerformance of wireless Communication Systems with imperfect CSI
Pedagogy lecture Performance of wireless Communication Systems with imperfect CSI Yogesh Trivedi Associate Prof. Department of Electronics and Communication Engineering Institute of Technology Nirma University
More informationFundamentals of Wireless Communication
Communication Technology Laboratory Prof. Dr. H. Bölcskei Sternwartstrasse 7 CH-8092 Zürich Fundamentals of Wireless Communication Homework 5 Solutions Problem 1 Simulation of Error Probability When implementing
More informationLecture Notes in Economics and Mathematical Systems
Lecture Notes in Economics and Mathematical Systems 520 Founding Editors: M. Beckmann H. P. Kiinzi Managing Editors: Prof. Dr. G. Fandel Fachbereich Wirtschaftswissenschaften Fernuniversitat Hagen Feithstr.
More informationChapter 2 Channel Equalization
Chapter 2 Channel Equalization 2.1 Introduction In wireless communication systems signal experiences distortion due to fading [17]. As signal propagates, it follows multiple paths between transmitter and
More informationAdvances in Real-Time Systems
Advances in Real-Time Systems Samarjit Chakraborty Jörg Eberspächer Editors Advances in Real-Time Systems 123 Editors Samarjit Chakraborty TU München LS für RealzeitComputersysteme Arcisstr. 21 80290
More informationPrinciples of Spread-Spectrum Communication Systems
Principles of Spread-Spectrum Communication Systems Don Torrieri Principles of Spread-Spectrum Communication Systems Second Edition 123 Don Torrieri US Army Research Laboratory Adelphi, MD, USA ISBN 978-1-4419-9594-0
More informationDiversity and Freedom: A Fundamental Tradeoff in Multiple Antenna Channels
Diversity and Freedom: A Fundamental Tradeoff in Multiple Antenna Channels Lizhong Zheng and David Tse Department of EECS, U.C. Berkeley Feb 26, 2002 MSRI Information Theory Workshop Wireless Fading Channels
More informationHealth Informatics. For further volumes:
Health Informatics For further volumes: http://www.springer.com/series/1114 ThiS is a FM Blank Page Alain Venot Anita Burgun Catherine Quantin Editors Medical Informatics, e-health Fundamentals and Applications
More informationThe Cultural and Social Foundations of Education. Series Editor A.G. Rud College of Education Washington State University USA
The Cultural and Social Foundations of Education Series Editor A.G. Rud College of Education Washington State University USA The Palgrave Pivot series on the Cultural and Social Foundations of Education
More informationComputational Intelligence for Network Structure Analytics
Computational Intelligence for Network Structure Analytics Maoguo Gong Qing Cai Lijia Ma Shanfeng Wang Yu Lei Computational Intelligence for Network Structure Analytics 123 Maoguo Gong Xidian University
More informationConstruction of Efficient Amplitude Phase Shift Keying Constellations
Construction of Efficient Amplitude Phase Shift Keying Constellations Christoph Schmitz Institute for Theoretical Information Technology RWTH Aachen University 20 Aachen, Germany schmitz@umic.rwth-aachen.de
More informationB.I. Dundas M. Levine P.A. Østvær O. Röndigs. Motivic Homotopy Theory. Lectures at a Summer School in Nordfjordeid, Norway, August 2002 ABC
B.I. Dundas M. Levine P.A. Østvær O. Röndigs V. Voevodsky Motivic Homotopy Theory Lectures at a Summer School in Nordfjordeid, Norway, August 2002 ABC Bjørn Ian Dundas Department of Mathematics University
More informationSpringerBriefs in Applied Sciences and Technology
SpringerBriefs in Applied Sciences and Technology SpringerBriefs present concise summaries of cutting-edge research and practical applications across a wide spectrum of fields. Featuring compact volumes
More informationChannel Capacity Estimation in MIMO Systems Based on Water-Filling Algorithm
Channel Capacity Estimation in MIMO Systems Based on Water-Filling Algorithm 1 Ch.Srikanth, 2 B.Rajanna 1 PG SCHOLAR, 2 Assistant Professor Vaagdevi college of engineering. (warangal) ABSTRACT power than
More informationExplaining Technical Change in a Small Country. The Finnish National Innovation System
Explaining Technical Change in a Small Country The Finnish National Innovation System ETLA - The Research Institute of the Finnish Economy Series B84 The Research Institute ofthe Finnish Economy (ETLA)
More informationEELE 6333: Wireless Commuications
EELE 6333: Wireless Commuications Chapter # 4 : Capacity of Wireless Channels Spring, 2012/2013 EELE 6333: Wireless Commuications - Ch.4 Dr. Musbah Shaat 1 / 18 Outline 1 Capacity in AWGN 2 Capacity of
More informationRADIO WAVE PROPAGATION AND SMART ANTENNAS FOR WIRELESS COMMUNICATIONS
RADIO WAVE PROPAGATION AND SMART ANTENNAS FOR WIRELESS COMMUNICATIONS THE KLUWER INTERNATIONAL SERIES IN ENGINEERING AND COMPUTER SCIENCE RADIOWAVE PROPAGATION AND SMART ANTENNAS FOR WIRELESS COMMUNICATIONS
More informationHuman and Mediated Communication around the World
Marieke de Mooij Human and Mediated Communication around the World A Comprehensive Review and Analysis Marieke de Mooij Burgh-Haamstede The Netherlands ISBN 978-3-319-01248-3 ISBN 978-3-319-01249-0 (ebook)
More information