The Four Fourier Representations

Blog post: Fourier Methods: Why So Prominent?

Fourier analysis is a cornerstone concept in signal processing. In this lesson you will learn about the four variations on Fourier representations for signals. All of the Fourier representations express an arbitrary signal as a weighted combination (sum or integral) of sinusoids having different frequencies. Four variations on this same idea are used based on whether the signal is continuous or discrete time and whether it is periodic or non-periodic. The big picture perspective you will gain in this lesson provides important context for your future encounters with Fourier representations.

Prerequisites

• Introduction to Linear, Time-Invariant Systems

Key Concepts and Screenshots

Concepts and Screenshots for The Four Fourier Representations