Course Description
A graduate level introduction to fundamentals of
digital communications. Complex random signals.
Digital modulations and optimal receiver principles.
Baseband and passband transmissions and processing.
Interference channels and equalization techniques.
Performance analysis including bit error rate
calculation and bounds, cutoff rate and
channel capacity. Applications in wireless
and digital subscriber loops (DSL).
Prerequisites: ECE 310, ECE 467/468 or consent from the instructor.
- Introduction
Course overview. Building blocks of digital communication systems.
Real and complex random vectors. Baseband and passband random processes.
Nyquist sampling and Nyquist pulses. Elements of detection and estimation.
- Digital Transmission over AWGN Channels
Signal space theory. Minimum error probability detection.
Waveform channels. Linear and nonlinear modulations.
Coherent and non-coherent detection of waveforms.
Practical modulation schemes: QAM, FSK, and CPM.
Performance comparison of different modulations.
- Channel Capacity and Coding
Achievable rate and capacity. Coding theorems. Error exponent and Cutoff rates.
Gap analysis. Elements of error control. Trellis coded modulation.
- Digital Transmission over Interference Channels
Band-limited channels. Maximum likelihood sequence estimation.
Linear and nonlinear equalizations: zero-forcing, MMSE, and decision feedback
equalizers. Multicarrier transmission and receivers.
References:
- Proakis, Digital Communications, McGraw Hill, 2001.
- Wozencraft and Jacobs, Principles of Communication
Engineering, Waveland Press, 1990.
- Gallager, Information Theory and Reliable Communication,
John Wiley and Sons, Inc., 1968.
- Viterbi and Omura, Principles of Digital Communications, McGraw-Hill, New York, 1979.
- Benedetto and Biglieri, Principles of Digital Transmission: With Wireless Applications, Kluwer Academic/Plenum Publishers, 1999.
- Lee and Messerschmitt, Digital Communications, 2nd Ed. KAP, 1994.