## ECE 3500 Fundamentals of Signals and Systems (Fall 2021)## Part I: Language of Signals and Systems## Lecture 1 (08/24/2021) (Syllabus, Slides)Syllabus Motivations and Basic Concepts What are the signals and systems? Application of signals and systems? What we will learn in ECE 3500? What follows this class?
## Lecture 2 (08/26/2021) (lecture note, Lecture Review Slides)Types of Signals 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
Lab 1: Instruction, Dropbox video link: here, Youtube video link: here.
## Lecture 3 (08/31/2021) (lecture note, Lecture Review Slides)Energy and Power of Signals Basic Signal Operations 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
Examples of Signal Types and Properties: here.
## Lecture 4 (09/02/2021) (Lecture Notes, Lecture Review Slides)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
Examples of Periodic Signals: here. Homework 2 Hint Video: Dropbox: here (second half); Youtube: here (second half).
## Lecture 5 (09/07/2021) (Lecture Notes, Lecture Review Slides)Complex Numbers Specific Signals 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 6 (09/09/2021) (Lecture Notes, Lecture Review Slides)Specific Signals Unit Impluse Signals Unit Step Signals
References: Lathi's book: Ch. 1.4, 8.2 Mitra's book: Ch. 3.2, 7.3
## Lecture 7 (09/14/2021) (Lecture Notes, Lecture Review Slides)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 8 (09/16/2021) (Lecture Notes, Lecture Review Slides)System Properties Cont. 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
Lab 2: Instruction, Dropbox video link: here, Youtube video link: here.
## Lecture 9 (09/21/2021) (Lecture Notes, Lecture Review Slides)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
Examples:
## Lecture 10 (09/23/2021) (Lecture Notes, Lecture Review Slides, Lecture 10 review for Part I of the course)Convolution Examples (Discrete-time) Convolution Properties 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
## Part II: Continous-time Signals and Systems## Lecture 11 (09/28/2021) (Lecture Notes, Lecture Review Slides)Frequency Basis and Fourier Series (FS) Cosine and Sine Fourier Series
References: Lathi's book: Ch. 3.1-3.5 Mitra's book: Ch. 5.1
## Lecture 12 (09/30/2021) (Lecture Notes, Lecture Review Slides)Complex Exponential Fourier Series
References: Lathi's book: Ch. 3.4-3.7 Mitra's book: Ch. 5.1
## Lecture 13 (10/05/2021) (Lecture Notes, Lecture Review Slides)Examples of Complex Exponential Fourier Series Drichlet Conditions
References: Lathi's book: Ch. 3.4-3.7 Mitra's book: Ch. 5.1
## Lecture 14 (10/07/2021) (Lecture Notes,Lecture Review Slides)Properties of Fourier Series
References: Lathi's book: Ch. 3.4-3.7 Mitra's book: Ch. 5.1
Continuous-time Transform Tables: here.
## Lecture 15 (10/19/2021) (Lecture Notes, Lecture Review Slides)Continuous-time Fourier Transform
References: Lathi's book: Ch. 4.1-4.3 Mitra's book: Ch. 5.3
## Lecture 16 (10/21/2021) (Lecture Notes, Lecture Review Slides)Magnitude and Phase of CTFT Uniform Convergence Conditions (Dirichlet Conditions)
References: Lathi's book: Ch. 4.1-4.3 Mitra's book: Ch. 5.3
## Lecture 17 (10/26/2021) (Lecture Notes, Lecture Review Slides)Uniform Convergence Conditions (examples) Properties of CTFT
References: Lathi's book: Ch. 4.3-4.7 Mitra's book: Ch. 5.3-5.5
## Lecture 18 (10/28/2021) (Lecture Notes, Lecture Review Slides)Properties of CTFT Applications: Amplitude Modulations (AM)
References: Lathi's book: Ch. 4.3-4.7 Mitra's book: Ch. 5.3-5.5
Video for the review of Part II of the course: Dropbox: here; Youtube: here. Slides for the review of Part II: here.
## Lecture 19 (11/04/2021) (Lecture Notes, Lecture Review Slides)Laplace Transform
References: Lathi's book: Ch. 6.1-6.4 Mitra's book: Ch. 5.6
## Lecture 20 (11/09/21) (Lecture Notes, Lecture Review Slides)Inverse Laplace Transform 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
Laplace Transform Example: here.
## Part III: Discrete-time Signals and Systems## Lecture 21 (11/11/2021) (Lecture Notes, Lecture Review Slides)Sampling
References: Lathi's book: Ch. 5.1-5.2, 8.3 Mitra's book: Ch.7.1, 7.5
## Lecture 22 (11/16/2021) (Lecture Notes, Lecture Review Slides)Sampling Nyquist Sampling Theorem and Aliasing Anti-Aliasing Filter
References: Lathi's book: Ch. 5.1-5.2, 8.3 Mitra's book: Ch.7.1, 7.5
Sampling Examples: here.
## Lecture 23 (11/18/2021) (Lecture Notes, Lecture Review Slides)Discrete-Time Fourier Transform (DTFT)
References: Lathi's book: Ch. 10.1-10.4 Mitra's book: Ch.9.2
## Lecture 24 (11/23/2021) (Lecture Notes, Lecture Review Slides, Circular_Convolution_slides)DTFT Properties DTFT Applications 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:
## Lecture 25 (11/30/2021) (Lecture Notes, Lecture Review Slides)Z-Transform Examples Inverse Z-Transform Applications of Z-Transform
References: Lathi's book: Ch. 11.1-11.3 Mitra's book: Ch. 9.8-9.10
Examples:
## Lecture 26 (12/02/2021) (Lecture Notes, Lecture Review Slides)Resampling (Downsampling, Upsampling)
References: Lathi's book: 8.4, 10.4 Mitra's book: N/A.
Examples:
## Lecture 27 (12/07/2021) (Lecture Notes, Lecture Review Slides)## Lecture 28 (12/09/2021) |