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Module 1: Overview

This module introduces the core ideas we'll explore:

  • Differential Equations
  • Phasors
  • The Fourier Series
  • The Laplace Transform
  • The Fourier Transform

We'll add a video and proper content here later.

Module 1: Time-domain Signals – Overview

Learning goals

By the end of this lesson, you should be able to:

  • Describe common time-domain signals (steps, impulses, exponentials, sinusoids)
  • Explain time shifting and scaling
  • Interpret simple signal plots

Lesson video

Key ideas from the video

  • Signals are functions of time: \(x : \mathbb{R} \to \mathbb{R}\) (or \(\mathbb{C}\))
  • Time shift: \(x(t - t_0)\) moves the signal to the right by \(t_0\)
  • Time scaling: \(x(a t)\) compresses/stretches the time axis

Notation

In this course we'll write continuous-time signals as \(x(t)\) and discrete-time signals as \(x[k]\).

What to do next