Unlocking Circuit Analysis: Fourier, Laplace and LTI Systems

Name: Unlocking Circuit Analysis: Fourier, Laplace and LTI Systems
Rating: 4.8 (32 reviews)

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

Last updated 2/2026

English

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.

8 sections • 31 lectures • 2h 15m total length

Fourier7:52
Explore Joseph Fourier's discovery that temperature distributions and any periodic signal can be expressed as sums of sine curves, laying the foundation for Fourier series and heat propagation analysis.
Frourier Series6:02
Sine-Cosine Form2:18
Amplitude-Phase Form1:45
Complex-Exponential Form7:38
Examine Frequency Contents6:08
Identify the frequency contents of a periodic signal by extracting Fourier series coefficients and using orthogonality to reveal Xn at nω1, with An, Bn, and Cn derived.
When Period Approaches Infinity2:45

Transient Simulation9:39
Master transient simulation basics with sine waves using finite data points and time steps. Analyze a common-emitter amplifier gain and frequency response via transient and AC methods.
AC Simulation9:31
Ac simulation uses phasor analysis to quickly determine a circuit's frequency response with a single data point per frequency, enabling gain computation from input to output phasors.

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:

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!