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Unlocking Circuit Analysis: Fourier, Laplace and LTI Systems

person icon Dr. Simen Li

4.5

Unlocking Circuit Analysis: Fourier, Laplace and LTI Systems

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

updated on icon Updated on Mar, 2024

language icon Language - English

person icon Dr. Simen Li

English [CC]

category icon Teaching & Academics,Engineering,Electrical Engineering

Lectures -27

Duration -2 hours

4.5

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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

What will you learn in this course:

  • 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.
Unlocking Circuit Analysis: Fourier, Laplace and LTI Systems

Curriculum

Check out the detailed breakdown of what’s inside the course

Course Overview
1 Lectures
  • play icon Overview 02:37 02:37
Euler Formula
2 Lectures
Tutorialspoint
Fourier Series
7 Lectures
Tutorialspoint
Fourier Transform and Laplace Transform
6 Lectures
Tutorialspoint
Signals and Systems
6 Lectures
Tutorialspoint
Fundamentals of Simulation
2 Lectures
Tutorialspoint
More on Fourier Transform
2 Lectures
Tutorialspoint
Conclusions
1 Lectures
Tutorialspoint

Instructor Details

Dr. Simen Li

Dr. Simen Li

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