ECE 3500 Fundamentals of Signals and Systems (Fall 2020)

Part I: Language of Signals and Systems

Lecture 1 (08/25/2020) (Syllabus, Slides)

1. Syllabus

2. Motivations and Basic Concepts

   1. What are the signals and systems?

   2. Application of signals and systems?

   3. What we will learn in ECE 3500?

   4. What follows this class?

• Lecture video: Dropbox: here; Youtube: here.

Lecture 2 (08/27/2020) (lecture note, Lecture Review Slides)

1. Types of Signals

2. Energy and Power of Signals

• References:

  • Lathi's book: Ch. 1.1-1.2, 1.5, 8.1, 8.4

  • Mitra's book: Ch. 1.1-1.2, 1.4-1.5, 3.1, 7.1-7.2

• Lecture video: Dropbox: here; Youtube: here.

• Homework 1: here, solutions.

• Lab 1: Instruction, Dropbox video link: here, Youtube video link: here.

Monday Interactive Session (08/31/2020)

• Video: Dropbox: here; Youtube: here.

Lecture 3 (09/01/2020) (lecture note, Lecture Review Slides)

1. Energy and Power of Signals

2. Basic Signal Operations

3. Introduction to Periodic Signals

• References:

  • Lathi's book: Ch. 1.1-1.3, 1.5, 8.1, 8.4

  • Mitra's book: Ch. 3.1-3.4, 7.1-7.4

• Lecture video: Dropbox: here; Youtube: here.

• Examples of Signal Types and Properties: here.

Lecture 4 (09/03/2020) (Lecture Notes, Lecture Review Slides)

1. Periodic Signals

• References:

  • Lathi's book: Ch. 1.2, 1.4, 8.2, B.1

  • Mitra's book: Ch. 3.1-3.4, 7.1-7.4

• Lecture video: Dropbox: here; Youtube: here.

• Homework 2: here, solutions.

Lecture 5 (09/08/2020) (Lecture Notes, Lecture Review Slides)

1. Complex Numbers

2. Specific Signals

   1. Complex Exponentials

• References:

  • Lathi's book: Ch. B.1, 1.4, 8.2

  • Mitra's book: Ch. 2.1-2.5, 3.2, 7.3

• Lecture video: Dropbox: here; Youtube: here.

• Quiz 1: here, solutions.

Lecture 6 (09/10/2020) (Lecture Notes, Lecture Review Slides)

1. Specific Signals

   1. Unit Impluse Signals

   2. Unit Step Signals

• References:

  • Lathi's book: Ch. 1.4, 8.2

  • Mitra's book: Ch. 3.2, 7.3

• Lecture video: Dropbox: here; Youtube: here.

• Examples of Periodic Signals: here.

• Homework 3: here, solutions.

Monday Interactive Session (09/14/2020)

• Video: Dropbox: here; Youtube: here.

• Quiz 1 solutions: here

• Homework 2: hint

Lecture 7 (09/15/2020) (Lecture Notes, Lecture Review Slides)

1. System Properties

• Refrences:

  • Lathi's book: Ch. 1.6-1.7, 2.6

  • Mitra's book: Ch. 4.1-4.3, 8.1-8.4

• Lecture video: Dropbox: here; Youtube: here.

Lecture 8 (09/17/2020) (Lecture Notes, Lecture Review Slides)

1. System Properties Cont.

2. Convolution Integral/Sum

• References:

  • Lathi's book: Ch. 1.6-1.7, 2.6, 2.1-2.5, 9.1-9.5

  • Mitra's book: Ch. 4.1-4.3, 8.1-8.4

• Lecture video: Dropbox: here; Youtube: here.

• Quiz 2: here, solutions.

• Lab 2: Instruction, Dropbox video link: here, Youtube video link: here.

Monday Interactive Session (09/21/2020)

• Video: Dropbox: here; Youtube: here.

• Quiz 2 solutions: here.

• Homework 3 note: here.

Lecture 9 (09/22/2020) (Lecture Notes, Lecture Review Slides)

1. Convolution Examples (Continuous-time)

• References:

  • Lathi's book: Ch. 2.1-2.5, 9.1-9.5

  • Mitra's book: Ch. 4.1-4.3, 8.1-8.4

• Lecture video: Dropbox: here; Youtube: here.

• Homework 4: here, solutions.

• Examples:

  • Systems Examples 1: here.

  • Systems Examples 2 (LTI continuous): here.

  • Systems Examples 3 (LTI discrete): here.

Lecture 10 (09/24/2020) (Lecture Notes, Lecture Review Slides, Lecture 10 review for Part I of the course)

1. Convolution Examples (Discrete-time)

2. Convolution Properties

3. Properties of LTI systems using unit impulse response

• References:

  • Lathi's book: Ch. 2.1-2.5, 9.1-9.5

  • Mitra's book: Ch. 4.1-4.3, 8.1-8.4

• Video: Dropbox: here; Youtube: here.

• Video of the review of Part I of the course: Dropbox: here; Youtube: here.

Monday Interactive Session (09/28/2020)

• Video: Dropbox: here; Youtube: here.

• Notes: here.

Part II: Continous-time Signals and Systems

Lecture 11 (09/29/2020) (Lecture Notes, Lecture Review Slides)

1. Frequency Basis and Fourier Series (FS)

   1. Cosine and Sine Fourier Series

• References:

  • Lathi's book: Ch. 3.1-3.5

  • Mitra's book: Ch. 5.1

• Video: Dropbox: here; Youtube: here.

Lecture 12 (10/01/2020) (Lecture Notes, Lecture Review Slides)

1. Complex Exponential Fourier Series

• References:

  • Lathi's book: Ch. 3.4-3.7

  • Mitra's book: Ch. 5.1

• Video: Dropbox: here; Youtube: here.

• Quiz 3: here, solutions.

• Lab 3: Material, Dropbox video link: here, Youtube video link: here.

Monday Interactive Session (10/05/2020)

• Video: Dropbox:here; Youtube: here.

• Notes: here.

Lecture 13 (10/06/2020) (Lecture Notes, Lecture Review Slides)

1. Examples of Complex Exponential Fourier Series

2. Drichlet Conditions

• References:

  • Lathi's book: Ch. 3.4-3.7

  • Mitra's book: Ch. 5.1

• Video: Dropbox: here; Youtube: here.

• Examples

  • Fourier Series Examples 1

  • Fourier Series Examples 2

• Homework 5: here, solutions.

Lecture 14 (10/08/2020) (Lecture Notes,Lecture Review Slides)

1. Properties of Fourier Series

• References:

  • Lathi's book: Ch. 3.4-3.7

  • Mitra's book: Ch. 5.1

• Video: Dropbox: here; Youtube: here.

• Continuous-time Transform Tables: here.

Monday Interactive Session (10/12/2020)

• Video: Dropbox:here; Youtube: here.

• Notes: here.

Lecture 15 (10/13/2020) (Lecture Notes, Lecture Review Slides)

1. Continuous-time Fourier Transform

• References:

  • Lathi's book: Ch. 4.1-4.3

  • Mitra's book: Ch. 5.3

• Video: Dropbox: here; Youtube: here.

• Homework 6: here, solutions.

Lecture 16 (10/15/2020) (Lecture Notes, Lecture Review Slides)

1. Magnitude and Phase of CTFT

2. Uniform Convergence Conditions (Dirichlet Conditions)

• References:

  • Lathi's book: Ch. 4.1-4.3

  • Mitra's book: Ch. 5.3

• Video: Dropbox: here; Youtube: here.

• Examples

  • Fourier Transform Examples 1

  • Fourier Transform Examples 2.

Monday Interactive Session (10/19/2020)

• Video: Dropbox:here; Youtube: here.

• Notes: here.

Lecture 17 (10/20/2020) (Lecture Notes, Lecture Slides)

1. Uniform Convergence Conditions (examples)

2. Properties of CTFT

• References:

  • Lathi's book: Ch. 4.3-4.7

  • Mitra's book: Ch. 5.3-5.5

• Video: Dropbox: here; Youtube: here.

• Homework 7: here, solutions.

• Quiz 4: here, solutions.

• Exercise Midterm: here.

Lecture 18 (10/22/2020) (Lecture Notes, Lecture Review Slides)

1. Properties of CTFT

2. Applications: Amplitude Modulations (AM)

• References:

  • Lathi's book: Ch. 4.3-4.7

  • Mitra's book: Ch. 5.3-5.5

• Video: Dropbox: here; Youtube: here.

Monday Interactive Session (10/26/2020)

• Video for the review of Part II of the course: Dropbox: here; Youtube: here.

• Slides for the review of Part II: here.

• Video for exercise midterm: Dropbox:here; Youtube: here.

• Solutions of the exercise midterm: here.

• Video for Homework 7: Dropbox: here; Youtube: here.

• Notes for Homework 7: here.

Midterm Exam (10/27/2020)

• Midterm Exam: here.

Lecture 19 (10/29/2020) (Lecture Notes, Lecture Review Slides)

1. Laplace Transform

• References:

  • Lathi's book: Ch. 6.1-6.4

  • Mitra's book: Ch. 5.6

• Video: Dropbox: here; Youtube: here.

Monday Interactive Session (11/02/2020)

• Lab 4: Material, Dropbox video link: here, Youtube video link: here.

Lecture 20 (11/03/20) (Lecture Notes, Lecture Review Slides)

1. Inverse Laplace Transform

2. Applications of Laplace Transform: Determine System Properties (causal and BIBO stable), Analog Filter Design

• References:

  • Lathi's book: Ch. 6.7, 7.1-7.2

  • Mitra's book: Ch. 5.7-5.9, 6.1-6.4

• Video: Dropbox: here; Youtube: here.

• Homework 8: here, solutions.

• Laplace Transform Example: here.

Part III: Discrete-time Signals and Systems

Lecture 21 (11/05/2020) (Lecture Notes, Lecture Review Slides)

1. Sampling

• References:

  • Lathi's book: Ch. 5.1-5.2, 8.3

  • Mitra's book: Ch.7.1, 7.5

• Video: Dropbox: here; Youtube: here.

Monday Interactive Session (11/09/2020)

• Video for Homework 8: Dropbox: here; Youtube: here.

• Note for Homework 8: here.

• Video for Quiz 5: Dropbox: here; Youtube: here.

• Quiz 5: here, solutions.

Lecture 22 (11/10/2020) (Lecture Notes, Lecture Review Slides)

1. Sampling

2. Nyquest Sampling Theorem and Aliasing

3. Anti-Aliasing Filter

• References:

  • Lathi's book: Ch. 5.1-5.2, 8.3

  • Mitra's book: Ch.7.1, 7.5

• Video: Dropbox: here; Youtube: here.

• Sampling Examples: here.

• Homework 9: here.

Lecture 23 (11/12/2020) (Lecture Notes, Lecture Review Slides)

1. Discrete-Time Fourier Transform (DTFT)

• References:

  • Lathi's book: Ch. 10.1-10.4

  • Mitra's book: Ch.9.2

• Video: Dropbox: here; Youtube: here.

• Discrete Transform Tables: here.

Monday Interactive Session (11/16/2020)

• Video for Homework 9: Dropbox: here; Youtube: here.

• Note for Homework 9: here.

Lecture 24 (11/17/2020) (Lecture Notes, Lecture Review Slides, Circular_Convolution_slides)

1. DTFT Properties

2. DTFT Applications

3. DTFT Existence Conditions

• References:

  • Lathi's book: Ch. 10.1-10.4, 11.1-11.3

  • Mitra's book: Ch.9.2-9.3, 9.8

• DTFT Examples:

  • DTFT Example 1, DTFT Example 2.

• Homework 10: here, solutions.

Lecture 25 (11/19/2020) (Lecture Notes, Lecture Review Slides)

1. Z-Transform Examples

2. Inverse Z-Transform

3. Applications of Z-Transform

• References:

  • Lathi's book: Ch. 11.1-11.3

  • Mitra's book: Ch. 9.8-9.10

• Video: Dropbox: here; Youtube: here.

• Examples:

  • z-Transform Example.

Monday Interactive Session (11/23/2020)

• Video for Homework 10: Dropbox: here; Youtube: here.

• Note for Homework 10: here.

Lecture 26 (11/24/2020) (Lecture Notes, Lecture Review Slides)

1. Resampling (Downsampling, Upsampling)

• References:

  • Lathi's book: 8.4, 10.4

  • Mitra's book: N/A.

• Video: Dropbox: here; Youtube: here.

• Examples:

  • Resampling Example.

• Quiz 6: here.

• Quiz 7: here.

• Homework 11: here.

• Exercise Final Exam: here.

Monday Interactive Session (11/30/2020)

• Video: Dropbox: here; Youtube: here.

• Quiz 6 solutions: here.

• Quiz 7 solutions: here.

Lecture 27 (12/01/2020) (Lecture Notes, Lecture Review Slides)

• Video for Review of Part III: Dropbox: here; Youtube: here.

• Videos for Homework 11: Dropbox: here; Youtube: here.

Lecture 28 (12/03/2020)

• video: Dropbox: here; Youtube: here.

• Exercise Exam Soltuions: here.