Unlocking Circuit Analysis: Fourier, Laplace and LTI Systems

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Dr. Simen Li

2:13:53

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1. Course Overview

1. Welcome.html

2. Overview.mp4

02:37

2. Euler Formula

1. Euler.mp4

04:31

2. Eulers Formula.mp4

06:13

3. Fourier Series

1. Fourier.mp4

07:52

2. Frourier Series.mp4

06:02

3. Sine-Cosine Form.mp4

02:18

4. Amplitude-Phase Form.mp4

01:45

5. Complex-Exponential Form.mp4

07:38

6. Examine Frequency Contents.mp4

06:08

7. When Period Approaches Infinity.mp4

02:45

4. Fourier Transform and Laplace Transform

1. Fourier Transform and Inverse Fourier Transform.mp4

05:54

2. Amplitude Spectrum and Phase Spectrum.mp4

04:27

3. The Problem of Fourier Transform.mp4

01:46

4. Make It Converge.mp4

03:40

5. Definition of Laplace Transform.mp4

01:55

6. Laplace.mp4

03:52

5. Signals and Systems

1. Signals and Systems.mp4

08:04

2. Use Transfer Functions to Describe Systems.mp4

05:18

3. Time-Invariant Systems.mp4

03:12

4. Linear Time-Invariant Systems.mp4

04:12

5. Convolution.mp4

03:08

6. Impulse Response and Transfer Function.mp4

03:05

6. Fundamentals of Simulation

1. Transient Simulation.mp4

09:39

2. AC Simulation.mp4

09:31

7. More on Fourier Transform

1. What exactly has it transformed.mp4

04:55

2. Essence.mp4

05:35

3. Applications.mp4

03:24

8. Conclusion

1. Summary.mp4

04:27

2. Bonus.html

Description

Your comprehensive guide to signals and systems: Learn Fourier Analysis and Laplace Transform with ease.

What You'll Learn?

Signal representations.
The basics and relationships of Fourier series, Fourier transform, and Laplace transform.
The concept of amplitude and phase spectra.
The concept of signals and systems and their mathematical models, as well as the properties of LTI systems.
The essentials about Transient and AC simulations.

Who is this for?

Students studying E.E. who want to gain a strong foundations of Fourier analysis, Laplace transform, and signals and systems. This is for you!

Engineers who want to deepen their knowledge of frequency-domain analysis. This course will provide you with useful insights. This is for you!

Educators seeking a comprehensive resource to teach related topics to their students. This course provides an in-depth understanding of the subject matter and is packed with engaging content. This is for you!

Examination candidates seeking a way to gain the knowledge necessary to succeed. This is for you!

What You Need to Know?

Basic understanding of phasors is helpful, but not a neccessity.

More details

Description
A strong foundation in the fundamentals lies at the core of every great engineer.
Are you struggling to grasp the fundamentals of signals and systems?
Do you often find yourself struggling to understand Fourier and Laplace Transforms?
Look no further than "Unlocking Circuit Analysis: Fourier, Laplace and LTI Systems" - The second course in The Tao of Phasor Series.

This course is more than just a math lesson:
Our high-quality content, insightful lessons, and engaging storytelling will guide you through this complex subject matter, and you'll find them so easy to understand.
Our focus is on the WHY, not just the HOW, and we'll explore the evolution of these concepts.
We'll explain the fundamental principles behind signals and systems, providing you with a solid foundation for your electrical engineering journey.
You'll see that signals and systems are not just abstract concepts, but a KEY to unlock the secrets of electrical engineering.

By the end of this course:
You'll have a comprehensive understanding of signals and systems, from Fourier series to Laplace transforms.
You'll have the knowledge and skills to apply these concepts in real-world scenarios.
You'll be equipped with a solid foundation that will make you a well-rounded engineer.

Join us on this journey and unlock the secrets of signals and systems!

Course Highlights:
Euler & Euler's Formula
Fourier & Frourier Series
Sine-Cosine Form, Amplitude-Phase Form, Complex-Exponential Form
Examine Frequency Contents
Fourier Transform and Inverse Fourier Transform
Amplitude Spectrum and Phase Spectrum
The Problem of Fourier Transform
Definition of Laplace Transform
Laplace
Signals and Systems
Use Transfer Functions to Describe Systems
Time-Invariant Systems
Linear Time-Invariant Systems and Convolution
Impulse Response and Transfer Function
Transient Simulation
AC Simulation
What exactly has it transformed?
Essence
Applications
Who this course is for:
Students studying E.E. who want to gain a strong foundations of Fourier analysis, Laplace transform, and signals and systems. This is for you!
Engineers who want to deepen their knowledge of frequency-domain analysis. This course will provide you with useful insights. This is for you!
Educators seeking a comprehensive resource to teach related topics to their students. This course provides an in-depth understanding of the subject matter and is packed with engaging content. This is for you!
Examination candidates seeking a way to gain the knowledge necessary to succeed. This is for you!

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Electrical Engineering

Electrical Circuits

Dr. Simen Li

Instructor's Courses

． As an electrical engineering expert and educator with over 15 years of experience, I have worked on a variety of projects that have honed my expertise in the field.． I was an RF system engineer at MediaTek Inc. and an assistant professor at the Department of Electronics, National Taipei University of Technology, a professional lecturer with Agilent (now Keysight), Civil Aeronautics Administration (Taiwan), Tze-Chiang Foundation of Science & Technology, and Metro Taipei. I'm currently running a company to solve communication problems in construction. Now I'm excited to bring my expertise to Udemy learners.． I am passionate about teaching the fundamental principles of electrical engineering in an accessible, engaging, and easy-to-understand way.． With my extensive knowledge of phasor and circuit analysis, I have developed the "The Tao of Phasor (TOP)" series to help students master the core concepts of electrical engineering quickly and efficiently.． As a co-author or translator of several technical books, I have demonstrated my ability to communicate complex information in a way that is both engaging and understandable.． My experience as both an engineer and a teacher has allowed me to develop a teaching style that is both approachable and effective. I look forward to sharing my knowledge with you and helping you succeed in your electrical engineering journey.

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