Fourier Series | Introduction, Types, and Orthogonal Basis | 5.2

Signals and systems fourier series lecture. This video provides a comprehensive overview of Fourier series using some graphical visuals, defines why Fourier series fails to converge at discontinuities using example of square wave, a comparison is drawn with triangular wave. Later the three types of Fourier series are discussed, namely Trigonometric Fourier series, compact trigonometric Fourier series, and exponential Fourier series. Lastly, the concept of orthogonality of signals and basis is elaborated with examples.

00:00 Introduction to Fourier Series
02:15 Graphical Explanation of Fourier Series
09:10 Aspect of discontinuities is Fourier series
10:01 Trigonometric Fourier Series
13:30 Compact Trigonometric Fourier Series
15:34 Exponential Fourier Series
22:01 Concept of Orthogonal basis in Fourier Series