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E-book
Author GrĂ¼ndinger, Andreas

Title Statistical Robust Beamforming for Broadcast Channels and Applications in Satellite Communication / Andreas GrĂ¼ndinger
Published Cham : Springer, 2019

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Description 1 online resource (261 pages)
Series Foundations in Signal Processing, Communications and Networking ; v. 22
Foundations in signal processing, communications and networking ; v. 22.
Contents Intro; Preface; Acknowledgments; Introduction; Zusammenfassung; Contents; Acronyms; Nomenclature; List of Figures; List of Tables; 1 Multi-User Downlink Communication; 1.1 Gaussian Vector Broadcast Channel Model; 1.2 Quality-of-Service Optimization and Rate Balancing; 1.2.1 Quality-of-Service Optimization Problem; 1.2.2 Rate Balancing Problem; 1.2.3 Relation Between the Problems; 1.3 Solutions for Perfect Transmitter Channel Knowledge; 1.3.1 Uplink-Downlink Duality and Uplink Power Allocation; 1.3.2 Convex Problem Reformulations; 1.3.3 Quality-of-Service Feasibility
1.4 Beamformer Design with Multiple Power Constraints1.4.1 QoS Optimization and Balancing with Multiple Power Constraints; 1.5 Outline of the Chapters and the Contributions; 1.5.1 Contributions for Ergodic Rates with Multiplicative Channel Errors; 1.5.2 Contributions for Average MSEs with Additive Channel Errors; 1.5.3 Contributions for Outage Rate Requirements; 1.5.4 Applications to Satellite Communication; 2 Models for Incomplete Channel Knowledge; 2.1 Additive Error Models; 2.1.1 Deterministic Channel Models; 2.1.2 Stochastic Channel Models; 2.1.3 Quantization Errors and Delays
2.2 Multiplicative Error Models2.2.1 Deterministic Channel and Shadow Fading; 2.2.2 Rank-One Channel Covariance Matrix; 2.3 Multiplicative Approximations for Additive Fading; 3 Precoder Design for Ergodic Rates with Multiplicative Fading; 3.1 Closed-Form Rate Expressions; 3.2 Lower and Upper Rate Bounds; 3.2.1 Generalized Zero-Forcing Lower Bound; 3.2.2 Bounds for Adaptive Beamforming; 3.2.3 QoS and Balancing Optimization with Rate Bounds; 3.2.3.1 Iterative Inner Rate Balancing Optimization; 3.2.3.2 Outer Worst-Case Noise Optimization; 3.2.3.3 Uplink-Downlink Transformation
3.3 Quality-of-Service Feasibility Region3.4 Post-Processing Power Allocation; 3.4.1 Post-Processing for QoS Optimization; 3.4.2 Post-Processing for Ergodic Rate Balancing; 3.5 Sequential Approximation Strategy; 3.5.1 Sequential Quality-of-Service Optimization; 3.5.2 Sequential Ergodic Rate Balancing; 3.6 Branch and Bound Method; 3.7 Numerical Optimization Results for Ergodic Rates; 3.7.1 Power Minimization Results; 3.7.2 Rate Balancing Results; 3.7.3 Results for Sequential QoS Optimization and Balancing; 4 Mean Square Error Transceiver Design for AdditiveFading
4.1 Mean Square Error Based Rate Bounds4.2 Closed-Form Mean Square Error Expressions; 4.3 Quality-of-Service Optimization; 4.3.1 MSE Based Uplink-Downlink Dualities; 4.3.2 Power Allocation and Worst-Case Noise Search; 4.3.3 Primal Reconstruction of Beamformers; 4.3.4 Expectation Evaluation for Alternating Convex Optimization; 4.4 Quality-of-Service Feasibility Region; 4.5 Average Mean Square Error Balancing; 4.5.1 Alternating Convex Search for Balancing; 4.5.2 Uplink-Downlink Dualities for Balancing; 4.5.3 Iterative Minimum Mean Square Error Search
Summary This book investigates adaptive physical-layer beamforming and resource allocation that ensure reliable data transmission in the multi-antenna broadcast channel. The book provides an overview of robust optimization techniques and modelling approximations to deal with stochastic performance metrics. One key contribution of the book is a closed-form description of the achievable rates with unlimited transmit power for a rank-one channel error model. Additionally, the book provides a concise duality framework to transform mean square error (MSE) based beamformer designs, e.g., quality of service and balancing optimizations, into equivalent uplink filter designs. For the algorithmic solution, the book analyses the following paradigm: transmission to receivers with large MSE targets (low demands) is switched off if the transmit power is low. The book also studies chance constrained optimizations for limiting the outage probability. In this context, the book provides two novel conservative outage probability approximations, that result in convex beamformer optimizations. To compensate for the remaining inaccuracy, the book introduces a post-processing power allocation. Finally, the book applies the introduced beamformer designs for SatCom, where interference from neighboring spotbeams and channel fading are the main limitations
Notes 4.5.3.1 Uplink Weighted Sum-MSE Minimization
Bibliography Includes bibliographical references and index
Notes Abstracts in English and German
Print version record
Subject Beamforming.
Beamforming
Form Electronic book
ISBN 9783030295783
3030295788