S&S_Unit - II PPT Fourier Series and Fourier Transforms

S&S_Unit - II PPT

1. SIDDHARTHA INSTITUTE OF TECHNOLOGY & SCIENCES
(UGC – AUTONOMOUS)
(Approved by AICTE, New Delhi & Affiliated to JNTUH, Hyderabad)
Accredited by *NBA, NAAC with ‘A+’ Grade and ISO Certified Institution
Narapally, Korremula Road, Ghatkesar, Medchal-Malkajgiri (Dist)-500 088

2. Signals and Systems
UNIT – II: Part-A: Fourier Series
Presented By
Dr. SRINIVAS BACHU
Professor in ECE & Dean IQAC
SITS (UGC-Autonomous)

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Properties of Fourier Series
Dr. Srinvas Bachu @ Dept. of ECE 3
S&S: UNIT-II
1. Linearity Property

4. | 4
Properties of Fourier Series
Dr. Srinvas Bachu @ Dept. of ECE 4
S&S: UNIT-II
2. Time Shifting Property
3. Frequency Shifting Property

5. | 5
Properties of Fourier Series
Dr. Srinvas Bachu @ Dept. of ECE 5
S&S: UNIT-II
4. Time Scaling Property
If α<1, then the signal will be expanded version.
If α>1, then the signal will be compressed version.

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Properties of Fourier Series
Dr. Srinvas Bachu @ Dept. of ECE 6
S&S: UNIT-II
5. Time - Differentiation
6. Time - Convolution

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Properties of Fourier Series
Dr. Srinvas Bachu @ Dept. of ECE 7
S&S: UNIT-II
7. Multiplication and Frequency - Convolution
8. Symmetry

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XYZ
Dr. Srinvas Bachu @ Dept. of ECE 8
S&S: UNIT-II

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XYZ
Dr. Srinvas Bachu @ Dept. of ECE 9
S&S: UNIT-II

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XYZ
Dr. Srinvas Bachu @ Dept. of ECE 10
S&S: UNIT-II

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XYZ
Dr. Srinvas Bachu @ Dept. of ECE 11
S&S: UNIT-II

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XYZ
Dr. Srinvas Bachu @ Dept. of ECE 12
S&S: UNIT-II

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Dr. Srinvas Bachu @ Dept. of ECE 13
S&S: UNIT-II