Rudiments of Fourier Series Part II: Application on Real Signals using Python

1. Very brief mathematical foundation is demonstrated, but the viewers may jump that section with no big loss in understanding the idea.

2. Python program is presented to construct various time varying signals and to extract the frequency components composing those time-signals.

3. The program is explained to help viewers to write their own one.

4. Square waves generated from both the Python and LTspice are analysed using Python and the extracted frequency components were compared for illustrative purpose.

5. At the end, my voice from the last video, the "Rudiments of Fourier Series Part-I" is analysied and the components extracted using the Python are compared with those extracted using Audacity.

6. Further, a song from the movie "Silsila" sang by the Indian Nightingale, Lata Mangeshkar, is also analysied and illustrated the frequency components as well.

Chapters:
1. 0:00:10 Introduction.
2. 0:03:14 Very Brief Mathematical Foundation.
3. 0:14:16 Python Program to construct time-signals and for FFT.
4. 0:23:39 Generation of single-frequency signal and FFT of it.
5. 0:27:40 Generation of 2kHz square wave with 20 (10 effectively) components.
6. 0:28:43 Square wave with higher sampling rate (480 kHz).
7. 0:30:49 Generation of 2kHz square wave using LTspice.
8. 0:37:37 Comparison of the square wave generated from Python and LTspice.
9. 0:39:16 FFT of the 2 kHz square wave generated from LTspice
10. 0:40:45 FFT of low and high pitch of my voice.
11. 0:49:36 FFT of a song sang by Lata Mangeshkar from the film "Silsila".