1. Signals & Systems (CNET - 221) Chapter-4
Mr. ASIF ALI KHAN
Department of Computer Networks
Faculty of CS&IS
Jazan University

2. Chapter Objective Following are the objectives of Chapter-III
Continuous and Discrete LTI Systems
Representation of signal in terms of impulses
Unit Impulse Signal response & Convolution
LTI System Properties
PAGE : 192
Examples : 3.2, 3.3, 3.4, 3.5

3. Course Description-Chapter-4
Fourier Series
4.1 Introduction Fourier Series Representation Of Continuous- Time Signals
4.2 Fourier Series Representation of Continuous -Time Periodic Signals
4.2.1 Linear Combination of Harmonically related complex Exponentials
4.2.2 Determination of the Fourier Series Representation of a Continuous-Time
Periodic Signal
4.3 Convergence of the Fourier Series
4.4 Properties of Continuous-Time Fourier Series
Linearity, Time Shifting , Time Reversal , Time Scaling , Multiplication ,
Conjugation and Conjugate Symmetry, Parseval's Relation
4.5 Fourier Series Representation of Discrete-Time Periodic Signals
4.5.1 Linear Combination of harmonically related complex exponentials
4.5.2 Determination of the Fourier Series Representation of a Periodic Signal

4. Fourier Series
Fourier series is just a means to represent a periodic signal as an infinite sum of sine wave components. 

5. Fourier Series-Decomposition

6. Example (Square Wave)  2 3 4 5 -
-2
-3
-4
-5
-6
f(t) 1

7. Harmonics

8. Harmonics…….Continued

9. Harmonics…….Continued

10. Complex Exponentials

11. Complex Form of the Fourier Series

12. Complex Form of the Fourier Series

13. Complex Form of the Fourier Series

14. Complex Form of the Fourier Series

15. Complex Frequency Spectra

16. Example t
f(t) A

17. Example A/5 40 80 120 -40 -120 -80 50 100 150 -50 -100
-120
-80
A/5
50
100
150
-50
-100
-150

18. Example A/10 40 80 120 -40 -120 -80 100 200 300 -100 -200
-120
-80
A/10
100
200
300
-100
-200
-300

19. Convergence of the CTFS

20. Convergence of the CTFS

21. Convergence of the CTFS

22. CTFS Properties

23. CTFS Properties………Continued

24. CTFS Properties………Continued

25. CTFS Properties………Continued

26. CTFS Properties………Continued

27. CTFS Properties………Continued

28. CTFS Properties………Continued

29. CTFS Properties………Continued

30. CTFS Properties………Continued

31. CTFS Properties………Continued

32. CTFS Properties………Continued

33. CTFS Properties………Continued

34. Some Common CTFS Pairs

35. Parseval’s Theorem Let x(t) be a periodic signal with period T
The average power P of the signal is defined as
Expressing the signal as
it is also

36. Videos
2. Signals & Systems Tutorial