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| About the Series Editors | |
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| Introduction | |
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| General remarks | |
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| Signals, interference, and types of parallel channels | |
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| Four-parametric model of a SISO channel | |
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| Multipath propagation | |
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| Random walk approach to modeling of scattering field | |
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| Random walk in two dimensions as a model for scattering field | |
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| Phase distribution and scattering strength | |
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| Distribution of intensity | |
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| Distribution of the random phase | |
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| Gaussian case | |
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| Four-parametric distribution family | |
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| Distribution of the magnitude | |
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| Distribution of the phase | |
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| Moment generating function, moments and cumulants of four-parametric distribution | |
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| Some aspects of multiple scattering propagation | |
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| Models of MIMO channels | |
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| General classification of MIMO channel models | |
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| Physical models | |
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| Deterministic models | |
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| Geometry-based stochastic models | |
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| Analytical models | |
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| Channel matrix model | |
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| Geometrical phenomenological models | |
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| Scattering from rough surfaces | |
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| On the role of trigonometric polynomials in analysis and simulation of MIMO channels | |
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| Measures of dependency | |
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| Non-negative trigonometric polynomials and their use in estimation of AoD and AoA distribution | |
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| Approximation of marginal PDF using non-negative polynomials | |
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| Canonical expansions of bivariate distributions and the structure MIMO channel covariance matrix | |
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| Canonical variables and expansion | |
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| General structure of the full covariance matrix | |
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| Relationship to other models | |
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| Bivariate von Mises distribution with correlated transmit and receive sides | |
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| Single cluster scenario | |
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| Multiple clusters scenario | |
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| Bivariate uniform distributions | |
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| Harmonic coupling | |
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| Markov-type bivariate density | |
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| Analytical expression for the diversity measure of an antenna array | |
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| Relation of the shape of the spatial covariance function to trigonometric moments | |
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| Approximation of the diversity measure for a large number of antennas | |
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| Examples | |
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| Leading term analysis of degrees of freedom | |
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| Effect of AoA/AoD dependency on the SDoF | |
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| Space-time covariance function | |
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| Basic equation | |
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| Approximations | |
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| Examples: synthetic data and uniform linear array | |
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| Approximation of a matrix by a Toeplitz matrix | |
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| Asymptotic expansions of diversity measure | |
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| Distributed scattering model | |
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| Modeling of wideband multiple channels | |
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| Standard models of channels | |
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| COST 259/273 | |
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| 3GPPSCM | |
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| WINNER channel models | |
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| MDPSS based wideband channel simulator | |
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| Geometry of the problem | |
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| Statistical description | |
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| Multi-cluster environment | |
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| Simulation of dynamically changing environment | |
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| Measurement based simulator | |
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| Examples | |
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| Two cluster model | |
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| Environment specified by joint A0A/A0D/T0A distribution | |
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| Measurement based simulator | |
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| Appendix A: simulation parameters | |
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| Capacity of communication channels | |
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| Introduction | |
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| Ergodic capacity of MIMO channel | |
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| Capacity of a constant (static) MIMO channel | |
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| Alternative normalization | |
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| Capacity of a static MIMO channel under different operation modes | |
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| Ergodic capacity of a random channel | |
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| Ergodic capacity of MIMO channels | |
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| Asymptotic analysis of capacity and outage capacity | |
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| Effects of MIMO models and their parameters on the predicted capacity of MIMO channels | |
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| Channel estimation and effective SNR | |
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| Achievable rates in Rayleigh channels with partial CSI | |
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| Examples | |
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| Time evolution of capacity | |
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| Time evolution of capacity in SISO channels | |
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| SISO channel capacity evolution | |
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| Sparse MIMO channel model | |
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| Statistical properties of capacity | |
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| Some mathematical expressions | |
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| Time-varying statistics | |
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| Unordered eigenvalues | |
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| Single cluster capacity LCR and AFD | |
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| Approximation of multi-cluster capacity LCR and AFD | |
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| Statistical simulation results | |
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| Estimation and prediction of communication channels | |
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| General remarks on estimation of time-varying channels | |
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| Velocity estimation | |
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| Velocity estimation based on the covariance function approximation | |
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| Estimation based on reflection coefficients | |
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| K-factor estimation | |
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| Moment matching estimation | |
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| I/Q based methods | |
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| Estimation of four-parametric distributions | |
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| Estimation of narrowband MIMO channels | |
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| Superimposed pilot estimation scheme | |
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| LS estimation | |
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| Scaled least-square (SLS) estimation | |
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| Minimum MSE | |
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| Relaxed MMSE estimators | |
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| Using frames for channel state estimation | |
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| Properties of the spectrum of a mobile channel | |
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| Frames based on DPSS | |
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| Discrete prolate spheroidal sequences | |
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| Numerical simulation | |
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| Effects of prediction and estimation errors on performance of communication systems | |
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| Kolmogorov-Szeg�-Krein formula | |
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| Prediction error for different antennas and scattering characteristics | |
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| SISO channel | |
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| SIMO channel | |
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| MISO channel | |
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| MIMO channel | |
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| Summary of infinite horizon prediction results | |
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| Eigenstructure of two cluster correlation matrix | |
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| Preliminary comments on finite horizon prediction | |
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| SISO channel prediction | |
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| Wiener filter | |
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| Single pilot prediction in a two cluster environment | |
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| Single cluster prediction with multiple past samples | |
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| Two cluster prediction with multiple past samples | |
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| Role of oversampling | |
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| What is the narrowband signal for a rectangular array? | |
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| Prediction using the UIU model | |
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| Separable covariance matrix | |
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| 1 � 2 unseparable example | |
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| Large number of antennas: no noise | |
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| Large number of antennas: estimation in noise | |
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| Effects of the number of antennas, scattering geometry, and observation time on the quality of prediction | |
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| Numerical simulations | |
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| SISO channel single cluster | |
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| Two cluster prediction | |
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| Wiener estimator | |
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| Approximation of the Wiener filter | |
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| Zero order approximation | |
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| Perturbation solution | |
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| Element-wise prediction of separable process | |
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| Effect of prediction and estimation errors on capacity calculations | |
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| Channel estimation and effective SNR | |
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| System model | |
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| Estimation error | |
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| Effective SNR | |
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| Achievable rates in Rayleigh channels with partial CSI | |
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| No CSI at the transmitter | |
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| Partial CSI at the transmitter | |
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| Optimization of the frame length | |
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| Examples | |
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| P(0, 0) Estimation | |
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| Effect of non-uniform scattering | |
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| Conclusions | |
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| Appendix A: Szeg� summation formula | |
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| Appendix B: matrix inversion lemma | |
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| Coding, modulation, and signaling over multiple channels | |
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| Signal constellations and their characteristics | |
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| Performance of OSTBC in generalized Gaussian channels and hardening effect | |
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| Introduction | |
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| Channel representation | |
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| Probability of error | |
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| Hardening effect | |
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| Differential time-space modulation (DTSM) and an effective solution for the non-coherent MIMO channel | |
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| Introduction to DTSM | |
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| Performance of autocorrelation receiver of DSTM in generalized Gaussian channels | |
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| Comments on MIMO channel model | |
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| Differential space-time modulation | |
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| Performance of DTSM | |
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| Numerical results and discussions | |
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| Some comments | |
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| Bibliography | |
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| Index | |