Optimal Combining and Detection
Statistical Signal Processing for Communications

With signal combining and detection methods now representing a key application of signal processing in communication systems, this book provides a range of key techniques for receiver design when multiple received signals are available. Various optimal and suboptimal signal combining and detection techniques are explained in the context of multiple-input multiple-output (MIMO) systems, including successive interference cancellation (SIC) based detection and lattice reduction (LR) aided detection. The techniques are then analyzed using performance analysis tools. The fundamentals of statistical signal processing are also covered, with two chapters dedicated to important background material. With a carefully balanced blend of theoretical elements and applications, this book is ideal for both graduate students and practising engineers in wireless communications.

1. Introduction; 2. Fundamentals of detection theory; 3. Fundamentals of estimation theory; 4. Optimal combining: single-signal; 5. Array signal processing and smart antenna; 6. Optimal combining: multiple-signal; 7. Multiple signal detection in vector space – MIMO detection; 8. MIMO detection with successive interference cancellation; 9. Lattice-reduction aided MIMO detection; 10. Analysis of LR based MIMO detection; Appendix 1. Review of signals and systems; Appendix 2. A brief review of entropy, mutual information, and channel capacity; Appendix 3. Important properties of matrices and vectors; Appendix 4. Lattice theory.