Unlocking Circuit Analysis: Fourier, Laplace and LTI Systems
Your comprehensive guide to signals and systems: Learn Fourier Analysis and Laplace Transform with ease.
Teaching and Academics ,Engineering,Electrical Engineering
Lectures -27
Duration -2 hours
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Course 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!
Goals
- 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.

Curriculum
Check out the detailed breakdown of what’s inside the course
Course Overview
1 Lectures
-
Overview 02:37 02:37
Euler Formula
2 Lectures

Fourier Series
7 Lectures

Fourier Transform and Laplace Transform
6 Lectures

Signals and Systems
6 Lectures

Fundamentals of Simulation
2 Lectures

More on Fourier Transform
2 Lectures

Conclusions
1 Lectures

Instructor Details

Dr. Simen Li
- 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 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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