6. Fourier Analysis

Fourier analysis is a vast field that warrants its own dedicated course. Given the time constraints for this course, we cannot conduct a detailed investigation of the subject. Instead, we will focus on the fundamentals, prioritizing qualitative understanding and practical implementation of the discrete Fourier transfrom (DFT).

A point is worth stating at the outset: Fourier analysis, and specifically its efficient implementation via the fast Fourier transform (FFT), is ubiquitous, as modern signal processing would be non-existent without these methods. When you develop an understanding of Fourier analysis, you will see it’s use everywhere. You should have some understanding of how important it is.