Exponential Fourier Series Explained | Concept of Negative Frequency Explained

In this video, the Exponential Fourier Series is explained and the relation between the co-efficient of Trigonometric and Exponential Fourier Series is derived. At the end of the video, the concept of negative frequency is also explained.
By watching this video, you will learn the following topics:
0:00 Introduction to Exponential Fourier Series
1:20 Quick Recap of the previous video (Concept of Orthogonality)
2:50 Complex Exponentials are Orthogonal Signals (Proof)
6:38 Coefficients of the Complex exponential in Fourier Series
10:10 Relation between the coefficients of Exponential and Trigonometric Fourier Series
15:14 Concept of negative Frequency
Exponential Fourier Series:
Using the Exponential Fourier series, any periodic signal can be represented as a linear combination of the complex exponentials which are harmonically related to each other.
In this video, the relation between the coefficient of the exponential and trigonometric Fourier Series has been derived and at the end of the video, the concept of negative frequency is explained.
The link for the other useful videos:
1) Fourier Series:
kzbin.info/www/bejne/iHeyeH14aptngc0
2) What is Modulation? Types of Modulation
kzbin.info/www/bejne/o3nZh5KKq517erM
3) Classification of Signals
kzbin.info/www/bejne/e2WoYnqcqbV3Z68
This video will be helpful to all the students of science and engineering in understanding the Exponential Fourier Series.
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#ExponentialFourierSeries
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[@ALLABOUTELECTRONICS]

The timestamps for the different topics covered in the video: 0:00 Introduction to Exponential Fourier Series 1:20 Quick Recap of the previous video (Concept of Orthogonality) 2:50 Complex Exponentials are Orthogonal Signals (Proof) 6:38 Coefficients of the Complex exponential in Fourier Series 10:10 Relation between the coefficients of Exponential and Trigonometric Fourier Series 15:14 Concept of negative Frequency

[@poojashah6183]

Waiting for this video thank you 😀👌🏻👌🏻👍🏻

[@umidusmanov4507]

Perfect explanation! Great job!

[@sanjayshah9838]

Very well explained

[@gopisanjayshahshah4556]

Very nice explanation

[@Alberto-sv1ou]

Im doing this right now nice timing

[@madmax453]

Thank you sir🎉

[@rakibpatwary3134]

Why we use conjugate of the signal?

[@shernawaz4210]

Hi there You frequently mentioned real signal! What is real signal?

[@ALLABOUTELECTRONICS]

The real signal is the one which doesn't contain any imaginary part. All the signals which we are seeing in our day to day life are the example of real signal.

[@mnada72]

1:45 What do you mean by complex signal vs real signal

[@ALLABOUTELECTRONICS]

Complex exponential e^(jwt) is the example of the complex signal. On the other end, all the signals which encounter in real life are real signals.

[@mnada72]

@@ALLABOUTELECTRONICS Thanks, when it's better to use one form over the other ?

[@ALLABOUTELECTRONICS]

According to the conviniency any of the form can be used. But exponential Fourier series is directly relatable to the Fourier Transform. But for academic purpose, Trigonometric is more easy for solving the examples. ( Particularly when there is a symmetry in the signal)

[@mnada72]

@@ALLABOUTELECTRONICS Many thanks