Defining the Fourier Transform with Complex Numbers

Explore the elegant definition of the Fourier transform using complex numbers in this 45-minute tutorial. Delve into complex Fourier transform coefficients and gain a visual interpretation of the complex definition. Learn about the inverse Fourier transform and its visual representation. Access accompanying slides and code for hands-on learning. Covers topics including formulas, intuition, mathematical equations, visual representations, exponentials, custom signals, complex planes, and complex integrals. Join a community of audio signal processing enthusiasts and connect with the instructor for further learning opportunities.

Introduction
Formulas
Intuition
Mathematical Equations
Visual Representation
Complex Fourier Transform
Exponential
Custom signal
Plot Fourier Transform
Complex Plane
Complex Integral
Inverse Fourier Transform
Visualizing the Fourier Transform
Fourier Transform Formulas