## Table of Contents

**Preface.**

**1. Introduction.**

Perspectives in Propagation. The Case for Space. Trends in Wireless Communications. About This Book.

**2. Signal Transmission.**

Baseband Representation. Channel Coherence. Using the Complete Baseband Channel. Chapter Summary.

**3 Random Fading Channels.**

Channel Correlation. Power Spectral Density (PSD). Joint Statistics. Width of the PSD. Chapter Summary.

**4. Physics Of Small-Scale Fading.**

Plane Wave Representation. The Local Area. Wave Groupings for Multipath Components. The SLAC Model. Chapter Summary.

**5. First-Order Channel Statistics.**

Mean Received Power. Envelope Probability Density Functions. Closed-Form PDF Solutions. Two-Wave with Diffuse Power PDF. Chapter Summary. Envelope Characteristic Functions.

**6. The Angle Spectrum.**

Vector and Scalar Space. Angle Spectrum Concepts. Multipath Shape Factors. Illustrative Examples. Chapter Summary.

**7. Second-Order Channel Statistics.**

The Level-Crossing Problem. Envelope Unit Autocovariance. Classical Spatial Channel Models. Properties of Wideband Channels. Chapter Summary. Approximate Spatial Autocovariance. Classical Envelope Autocovariance. Rician Mean Approximation.

**8. Diversity.**

Diversity Concept. Combining Techniques. BER and Capacity. Chapter Summary.

**9. Mimo Channels.**

Conventional Multiple Antenna Systems. Separating Channels in Multipath. Practical MIMO Signaling. Space-Time Block Coding. Chapter Summary.

**10. Array Design In Multipath.**

Rules of Spatial Decorrelation. Modeling Double Spatial Dependencies. Example System. Peer-to-Peer Space-Time Measurements. Chapter Summary. Description of Measured Parameters.

**Appendix A. Special Functions.**

Singularity Functions. Sinc Function. Gamma Function. Bessel Functions. Complete Elliptic Integral Functions. Q-function.

**Appendix B. Fourier Analysis.**

Basic Fourier Transform Definitions. Time-Doppler Transforms. Frequency-Delay Transforms. Space-Wavenumber Transforms. Trigonometric Relationships.

**Appendix C. Random Process Theory.**

Definitions. Probability Density Functions. Functions of Random Variables.

**Appendix D. Glossary.**

Mathematical Symbols and Conventions. Acronym List.

**Bibliography.**

**Index.**