EEC165 - Statistical And Digital Communication

4 units - Winter Quarter

Lecture: 3 hours

Project: 3 hours

Prerequisite: Courses 160, 161

Grading: Letter

Catalog Description: Introduction to random process models of modulated signals and noise, and analysis of receiver performance. Analog and digitally modulated signals. Signal-to-noise ratio, probability of error, matched filters. Intersymbol interface, pulse shaping and equalization. Carrier and clock synchronizations.

Relationship to Outcomes:
Students who have successfully completed this course should have achieved:

Course Outcomes ABET Outcomes
An ability to apply knowledge of mathematics, science, and engineering A
An ability to design and conduct experiments, as well as to analyze and interpret data B
An ability to design a system, component, or process to meet desired needs within realistic constraints such as economic, environmental, social, political, ethical, health and safety, manufacturability, and sustainability C
An ability to identify, formulate, and solve engineering problems E
An ability to use the techniques, skills, and modern engineering tools necessary for engineering practice. K

Expanded Course Description

  1. Random Process Models for Signals and Noise
    1. Stationarity and ergodicity
    2. Correlation functions
    3. Spectral density functions
    4. Representation of bandpass signals
    5. Wiener filtering
  2. Signal-to-Noise Ratio Performance for Analog Carrier Modulation
    1. Baseband systems
    2. Amplitude modulation (DSB-SC, SSB, AM)
    3. Corner phase estimation with a phase-locked loop, effect of noise on phase estimation
    4. Phase and frequency modulation
  3. Receivers and Probability of Error Performance for Digital Modulation
    1. Optimum threshold receivers and matched filtering
    2. ASK, PSK, FSK and spread spectrum systems
    3. M-ary communications, M-PSK and QAM
  4. Optimal Signal Detection
    1. Orthogonal representation of signals, signal space
    2. Optimum receiver and probability of error
  5. Intersymbol Interference and Equalization
    1. Bandlimited channels and intersymbol interference (ISI) pulse shaping for zero or controlled ISI
    2. Zero-forcing and minimum mean-square linear equalizers
    3. Adaptive equalizers
Computer Use: MATLAB

Laboratory Projects: Students will work in groups of two. The first project will be a comprehensive design project lasting 4 weeks and requiring a detailed report. The other two projects will last 2 weeks.

  1. Design of a phase lock loop for phase or frequency recovery. Effect of noise.
  2. Design of binary receiver. Monte Carlo simulation of the probability of error and comparison to its theortical value.
  3. Simulation of an intersymbol interference channel. Sensitivity of the eye diagram to timing errors. Design of a simple equalizer.

Engineering Design Statement: The computer laboratory projects will consist of designing, simulating and evaluating the performance of components of analog and digital communications receivers operating in noise.


  1. B. Lathi and Z. Ding, Modern and Digital Analog Communication Systems, Oxford University Press.
  2. J. Proakis and M. Salehi, Contemporary Communication Systems Using MATLAB, Brooks/Cole Publ.

Professional Component: Engineering Depth, Laboratory, Project
Engineering Science: 2 units
Engineering Design: 2 units