Wireless Signal Processing (UMAP)

Author: Haftu Abreha, Tsegazeab Hailu, Haile Weleslassie, Andrew Betts, Patrick Krage, and Paul A. Isihara

This Module introduces mathematical analysis of problems in wireless signal processing, including signal recovery, power loss and fading channels, modulation and filtering, and cellular system design.

1. INTRODUCTION

2. BANDWIDTH AND SIGNAL RECOVERY VIA PROJECTIONS ONTO CONVEX SETS
2.1 Review of Convex Sets and Projections
2.2 Fourier Transforms and Signal Bandwidth
2.3 Analog Signal Recovery
2.4 Digital Signal Recovery

3. SIGNAL POWER-LOSS AND FADING CHANNELS
3.1 Power Loss in a Single-Path Channel
3.2 Power Loss in Narrow-Band Signals in a Multi-Path Channel
3.3 Power Loss inWide-band Signals in a Multi-Path Channel
3.4 Local Movements and Doppler Shifts for Narrow-Band Signals
3.5 Statistical Description of Fading Channels

4. SIGNAL MODULATION AND FILTERING
4.1 Linear Time-Invariant Filters
4.2 Pulse Shaping
4.3 Encoding
4.4 Modulation and Demodulation
4.5 Probability of Symbol Error under BPSK Modulation
4.6 Equalization
4.7 Matched Filtering

5. CELLULAR SYSTEM DESIGN
5.1 Frequency Reuse
5.2 T-coloring of Graphs
5.3 Co-channel Interference
5.4 Hand-offs
5.5 Dropped Calls

6. FURTHER DIRECTIONS

7. SOLUTIONS TO THE EXERCISES

8. APPENDIX OF MATHEMATICAL FORMULAS

REFERENCES
ACKNOWLEDGMENTS
ABOUT THE AUTHORS