ENEL 673

CMDA and Narrowband Multiuser Detection

with Antenna Arrays

Jim Cavers

Part I: Fading Channel Communications

Description

Propagation phenomena, modulation and detection techniques for mobile channels. Topics include: path loss, shadowing and fading; modulation methods; analysis of detectors using Gaussian quadratic forms; diversity reception.

Topics

1. THE MOBILE COMMUNICATIONS PROBLEM (pdf)

2. REVIEW OF SIGNAL THEORY

2.1 Representation of bandpass signals (pdf)

2.2 Second order statistics of bandpass signals (pdf)

2.3 Detection of signals in white noise (pdf)

3. MOBILE PROPAGATION PHENOMENA (shown as section 9 on notes – please correct it)

3.1 Propagation Phenomena (pdf)

3.2 Scattering and Fading (pdf)

3.3 Effect of Fading on Detection (pdf)

3.4 Improvement by Diversity (pdf)

3.5 Code Division Multiple Access (CDMA) (pdf)

3.6 Back to Fading – Second Order Statistics (pdf)

4. SINGLE-USER DETECTION IN FADING CONDITIONS

4.1 Gaussian Quadratic Forms in Detection Problems (pdf) (please correct page #s yourself)

4.2 Diversity Reception – Single User (pdf) (please correct page #s)

4.3 Imperfect Channel Estimates in Fading and Diversity (pdf) (please correct page #s)

4.4 Summary of Solution Approaches (pdf)

4.5 Channel Estimation From Training Sequences (pdf) (readings)

4.6 Interference (pdf)

APPENDICES

B: COMPLEX ENVELOPE NOTATION (being adapted, still pretty scruffy)

B1. The Complex Envelope (pdf)

B2. Bandpass Random Processes (pdf)

B3. Bandpass Sampling (pdf)

B4. Complex Gaussian Vectors (pdf)

E: ELEMENTARY DETECTION THEORY (from course notes, ENSC 428)

E1. Signal Space (pdf)

E2. Orthogonal, Nonorthogonal and Complete Bases (pdf-a, pdf-b)

E3. Detection in White Noise (pdf)

F: SUFFICIENT STATISTICS (from course notes, ENSC 810) (pdf)

G: RAYLEIGH, RICE AND CHI-SQUARED STATISTICS (pdf)

H. MAXIMAL RATIO COMBINING (pdf)

J. ZERO FORCING GIVES MAXIMAL RATIO OF LOWER DEGREE (pdf)

K. DERIVATIVES AND GRADIENTS WITH RESPECT TO COMPLEX VARIABLES (pdf)

L. EXAMPLES OF DETECTORS DESCRIBABLE BY GAUSSIAN QUADRATIC FORMS (pdf)

M. CHARACTERISTIC FUNCTION OF A GAUSSIAN QUADRATIC FORM (pdf)

N. THE TWO-SIDED LAPLACE TRANSFORM (pdf)

P. GRAM-SCHMIDT ORTHOGONALIZATION (pdf)

R. MAXIMUM LIKELIHOOD DETECTION IS UNAFFECTED BY INVERTIBLE TRANSFORMATIONS (pdf)

Reference Books

M.D. Yacoub, Foundations of Mobile Radio Engineering, CRC Press, 1993.

R. Steele, Mobile Radio Communications, Pentech/IEEE Press, 1992.

J.G. Proakis, Digital Communications, 3rd ed., McGraw-Hill, 1995.