ECE 5520 Digital Communication Systems (Spring 2020)

Course Notes

Chapters 1-4 Introductions and Backgroud

Lecture 1 (01/07/2020) (Syllabus, Slides)

1. Syllabus

2. Chapter 1

   1. The Big Picture

   2. History of Modems

   3. Signal Processing in Modems

Lecture 2 (01/09/2020) (lecture Notes, Lecture Slides)

1. Chapter 2: Continuous-Time Signals and Systems

   1. Fourier Series (FS)

   2. Continuous-Time Fourier Transform (CTFT)

   3. Linear Time-Invariant (LTI) Systems

• Homework 1: Chapter 2, Problems 1(20 points), 3(20 points), 6(10 points), 10(20 points), 11(30 points).

• Homework 1 solutions: here.

Lecture 3 (01/14/2020) (Lecutre Notes, Lecture Slides)

1. Chapter 2:

   1. Energy and Power Spectral Density

2. Homework 1

3. Chapter 3: Discrete Signals and Systems.

   1. Sampling Theorem

Lecture 4 (01/16/2020) (Lecture Notes, Lecture Slides)

1. Chapter 3:

   1. Sampling Theorem

   2. Discrete Fourier Transform (DFT)

   3. Discrete-Time Signals and Systems

• Homework 2: Chapter 2, Problem 12 (10 points), Chapter 3, Problems 1(50 points), 2(10 points), 3(15 points), 4(10 points), 5(15 points)

• Homework 2 solutions: Problem 12, Matlabe Code

Lecture 5 (01/21/2020) (Lecture Notes, Lecture Slides)

1. Homework 2

2. Chapter 4:

   1. Some Useful Random Variables

Lecture 6 (01/23/2020) (Lecture Notes, Lecture Slides)

1. Chapter 4:

   1. Some Useful Random Variables

   2. The Central Limit Theorem

   3. Significance of Various Random Variables in Digital Communications

   4. Signal-to-Noise Ratio and dB Scale

• Homework 3:Chapter 4: Problems 1 (10 points), 2(8 points), 3(8 points), 4(20 points), 5(8 points), 6(8 points), 7(8 points), 8(8 points), 9(8 points), 10(14 points).

• Homework 3 solutions: here.

• Midterm 1 Exercise Exam: here, solutions.

Lecture 7 (01/28/2020) (Lecture Notes, Lecutre Slides)

1. Chapter 4:

   1. Autocorrelation Function and Power Spectral Density of Contintuous-time Random Processes

   2. Autocorrelation Function and Power Spectral Density of Discrete-time Random Processes

   3. White Noise

Lecture 8 (01/30/2020) (Lecture Notes)

1. Homework 3

2. Exercise Exam 1

Lecture 9 (02/04/2020) (Lecture Notes, Lecture Slides)

1. Chapter 5:

   1. Pulse Amplitude Modulation

   2. Pulse-Shape Designs for Band-Limited Communications

• Homework 4: Chapter 5, Problems 1(20 points), 2(10 points), 3(10 points), 4(20 points), 5(10 points), 6(10 points), 7(20 points).

• Homework 4 solutions: here.

Lecture 10 (02/11/2020) (Lecture Notes, Lecture Slides)

1. Chapter 5:

   1. Pulse-Shape Designs for Band-Limited Communications

   2. Timing Phase

   3. Modulation Techniques: AM

• Matlab Code: here.

Lecture 11 (02/13/2020) (Lecture Notes, Lecture Slides)

1. Chapter 5:

   1. Modulation Techniques: QAM

   2. Homework 4

Lecture 12 (02/18/2020) (Lecture Notes, Lecture Slides)

1. Chapter 5:

   1. Modulation Techniques

      1. SSB, VSB

      2. QAM basd complex signals

      3. PSK

      4. QAM Matlab code

      5. Power efficient QAM constellation

      6. PAPR

• Homework 5: Chapter 5, Problems 8(20 points), 9(10 points), 10(20 points), 11(20 points), 13(10 points), 16(10 points), 17(10 points).

• Homework 5 solutions: here.

Lecture 13 (02/20/2020) (Lecture Notes, Lecture Slides)

1. Homework 5

2. Chapter 5:

   1. Modulation Techniques

      1. Power efficient QAM constellation

      2. PAPR

   2. Vestigial Side-Band (VSB) Modulation

Lecture 14 (02/25/2020) (Lecture Notes, Lecture Slides)

1. Chapter 5:

   1. Vestigial Side-Band (VSB) Modulation

   2. Staggered QAM

   3. Relationship Between VSB and SQAM

• Homework 6: Chapter 5, Problems 18(20 points), 19(20 points), 23(20 points), 24(20 points), 25(20 points).

• Homweork 6 Matlab codes: here.

• Homework 6 solutions: here.

Lecture 15 (02/27/2020) (Lecture Notes, Lecture Slides)

1. Chapter 5:

   1. Differential Encoding and Decoding

   2. Baseband Equivalent of a Passband Channel

   3. Channel Impact and Equalization

• Midterm 2 Exercise Exam: here, solutions.

Lecture 16 (03/03/2020) (Lecture Notes)

1. Homework 6

Lecture 17 (03/05/2020) (Lecture Notes)

1. Exercise Midterm 2

2. Chapter 5 Questions (here)

Lecture 18 (03/24/2020) (Lecture Notes, Lecture Slides)

1. Chapter 6

   1. Motivations

   2. Nyquist Criterion for ISI Free Data Transmission (revisited)

   3. Extension of Nyquist Criterion to Time-Frequency Plane

   4. Multicarrier Technique: the general concepts

   5. Filtered Multitone (FMT) and Filter Bank Multicarrier (FBMC)

• Homework 7: Chapter 6, Problems 1(10 points), 2(10 points), 3(10 points), 4(10 points), 5(30 points), 6(10 points), 7(20 points).

Lecture 19 (03/26/2020) (Lecture Notes, Lecture Slides)

1. Chapter 6

   1. Orthongonal Frequency Division Multiplexing (OFDM)

• OFDM Project: here.

Lecture 20 (03/31/2020) (Lecture Notes)

1. Chapter 6

   1. OFDM in Practice

   2. Homework 7

   3. OFDM Project

Lecture 21 (04/02/2020) (Lecture Notes, Lecture Slides)

1. Chapter 7

   1. System Model

   2. BER Performance of ASK Systems

   3. BER Performance of QAM Systems

• Homework 8: Chapter 7, Problems 17(40 points), 18(10 points), 19(20 points), 20(10 points), and 21(20 points).

Lecture 22 (04/07/2020) (Lecture Notes, Lecture Slides)

1. Chapter 7

   1. 7.4 BER Performance of PSK Systems

   2. 7.5 BER Performance of Differentially Encoded PSK Systems

   3. 7.6 Channel Capacity

Lecture 23 (04/09/2020) (Lecture Notes, Lecture Slides)

1. Chapter 7

   1. 7.6 Channel Capacity

   2. Homework 8

Lecture 24 (04/14/2020) (Lecture Notes. Lecture Slides)

1. Chapter 10

   1. The Measure of Information

   2. The Source Coding Theorem

   3. Huffman Coding

• Homework 9: Chapter 10, Problems 9(50 points) and 10(50 points)

Lecture 25 (04/16/2020) (Lecture Notes, Lecutre Slides)

1. Chapter 10

   1. Huffman Coding

   2. Speech Coding (Linear Predictive Coding)

Exercise Final Exam: here

Lecture 26 (04/21/2020) (Lecture Notes)

1. Chapter 10

   1. Speech Coding (Waveform Coding)

   2. Homework 9

   3. Exercise Final Exam (Solutions)

• OFDM Project Solutions: here.

• Homework 9 solutions: here.