Signals Systems CNET 221 Chapter4 Mr ASIF ALI
- Slides: 36
Signals & Systems (CNET - 221) Chapter-4 Mr. ASIF ALI KHAN Department of Computer Networks Faculty of CS&IS Jazan University
Chapter Objective Following are the objectives of Chapter-III Ø Ø 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
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
Fourier Series Fourier series is just a means to represent a periodic signal as an infinite sum of sine wave components.
Fourier Series-Decomposition
Example (Square Wave) f(t) 1 -6 -5 -4 -3 -2 - 2 3 4 5
Harmonics
Harmonics……. Continued
Harmonics……. Continued
Complex Exponentials
Complex Form of the Fourier Series
Complex Form of the Fourier Series
Complex Form of the Fourier Series
Complex Form of the Fourier Series
Complex Frequency Spectra
Example f(t) A t
Example A/5 -120 -15 0 -80 -10 0 -40 -5 0 0 40 5 0 80 10 0 120 15 0
Example A/10 -120 -80 -40 -30 0 -20 0 -10 0 0 40 80 120 10 0 20 0 30 0
Convergence of the CTFS
Convergence of the CTFS
Convergence of the CTFS
CTFS Properties
CTFS Properties………Continued
CTFS Properties………Continued
CTFS Properties………Continued
CTFS Properties………Continued
CTFS Properties………Continued
CTFS Properties………Continued
CTFS Properties………Continued
CTFS Properties………Continued
CTFS Properties………Continued
CTFS Properties………Continued
CTFS Properties………Continued
Some Common CTFS Pairs
Parseval’s Theorem Ø Let x(t) be a periodic signal with period T Ø The average power P of the signal is defined as Ø Expressing the signal as it is also
Videos 1. https: //www. youtube. com/watch? v=7 Z 3 LE 5 u. M 6 Y&list=PLb. MVog. Vj 5 n. JQQZbah 2 u. RZIRZ_9 kfoq. Zyx 2. Signals & Systems Tutorial https: //www. youtube. com/watch? v=y. Lez. P 5 ziz 0 U&list=PL 56 ED 47 DCECCD 69 B 2
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