Unlocking Circuit Analysis: Fourier, Laplace And Lti Systems

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.

Requirements

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

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!

Overview

Section 1: Course Overview

Lecture 1 Welcome

Lecture 2 Overview

Section 2: Euler Formula

Lecture 3 Euler

Lecture 4 Euler's Formula

Section 3: Fourier Series

Lecture 5 Fourier

Lecture 6 Frourier Series

Lecture 7 Sine-Cosine Form

Lecture 8 Amplitude-Phase Form

Lecture 9 Complex-Exponential Form

Lecture 10 Examine Frequency Contents

Lecture 11 When Period Approaches Infinity

Section 4: Fourier Transform and Laplace Transform

Lecture 12 Fourier Transform and Inverse Fourier Transform

Lecture 13 Amplitude Spectrum and Phase Spectrum

Lecture 14 The Problem of Fourier Transform

Lecture 15 Make It Converge

Lecture 16 Definition of Laplace Transform

Lecture 17 Laplace

Section 5: Signals and Systems

Lecture 18 Signals and Systems

Lecture 19 Use Transfer Functions to Describe Systems

Lecture 20 Time-Invariant Systems

Lecture 21 Linear Time-Invariant Systems

Lecture 22 Convolution

Lecture 23 Impulse Response and Transfer Function

Section 6: Fundamentals of Simulation

Lecture 24 Transient Simulation

Lecture 25 AC Simulation

Section 7: More on Fourier Transform

Lecture 26 What exactly has it transformed

Lecture 27 Essence

Lecture 28 Applications

Section 8: Conclusion

Lecture 29 Summary

Lecture 30 Bonus

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!