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Introduction to Electric Circuits Chapter 15 Fourier Series and Fourier Transform Part 2

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Page 1: Chapter 15 Fourier Series and Fourier Transform Part 2ccrs.hanyang.ac.kr/webpage_limdj/circuit2/Chapter15_2.pdf · 2019-12-02 · Z Ex IS S I. m — Exponential Fourier Series - square

Introduction to Electric Circuits

Chapter 15 Fourier Series andFourier Transform

Part 2

Page 2: Chapter 15 Fourier Series and Fourier Transform Part 2ccrs.hanyang.ac.kr/webpage_limdj/circuit2/Chapter15_2.pdf · 2019-12-02 · Z Ex IS S I. m — Exponential Fourier Series - square

Exponential Form of Fourier Series

Page 3: Chapter 15 Fourier Series and Fourier Transform Part 2ccrs.hanyang.ac.kr/webpage_limdj/circuit2/Chapter15_2.pdf · 2019-12-02 · Z Ex IS S I. m — Exponential Fourier Series - square
Page 4: Chapter 15 Fourier Series and Fourier Transform Part 2ccrs.hanyang.ac.kr/webpage_limdj/circuit2/Chapter15_2.pdf · 2019-12-02 · Z Ex IS S I. m — Exponential Fourier Series - square
Page 5: Chapter 15 Fourier Series and Fourier Transform Part 2ccrs.hanyang.ac.kr/webpage_limdj/circuit2/Chapter15_2.pdf · 2019-12-02 · Z Ex IS S I. m — Exponential Fourier Series - square
Page 6: Chapter 15 Fourier Series and Fourier Transform Part 2ccrs.hanyang.ac.kr/webpage_limdj/circuit2/Chapter15_2.pdf · 2019-12-02 · Z Ex IS S I. m — Exponential Fourier Series - square
Page 7: Chapter 15 Fourier Series and Fourier Transform Part 2ccrs.hanyang.ac.kr/webpage_limdj/circuit2/Chapter15_2.pdf · 2019-12-02 · Z Ex IS S I. m — Exponential Fourier Series - square
Page 8: Chapter 15 Fourier Series and Fourier Transform Part 2ccrs.hanyang.ac.kr/webpage_limdj/circuit2/Chapter15_2.pdf · 2019-12-02 · Z Ex IS S I. m — Exponential Fourier Series - square

N=20

Page 9: Chapter 15 Fourier Series and Fourier Transform Part 2ccrs.hanyang.ac.kr/webpage_limdj/circuit2/Chapter15_2.pdf · 2019-12-02 · Z Ex IS S I. m — Exponential Fourier Series - square

N=200

Page 10: Chapter 15 Fourier Series and Fourier Transform Part 2ccrs.hanyang.ac.kr/webpage_limdj/circuit2/Chapter15_2.pdf · 2019-12-02 · Z Ex IS S I. m — Exponential Fourier Series - square

N=2000

Page 11: Chapter 15 Fourier Series and Fourier Transform Part 2ccrs.hanyang.ac.kr/webpage_limdj/circuit2/Chapter15_2.pdf · 2019-12-02 · Z Ex IS S I. m — Exponential Fourier Series - square

Fig_15-5-4

Page 12: Chapter 15 Fourier Series and Fourier Transform Part 2ccrs.hanyang.ac.kr/webpage_limdj/circuit2/Chapter15_2.pdf · 2019-12-02 · Z Ex IS S I. m — Exponential Fourier Series - square

Fig_15-5-5

Page 13: Chapter 15 Fourier Series and Fourier Transform Part 2ccrs.hanyang.ac.kr/webpage_limdj/circuit2/Chapter15_2.pdf · 2019-12-02 · Z Ex IS S I. m — Exponential Fourier Series - square

Fig_15-5-6

Page 14: Chapter 15 Fourier Series and Fourier Transform Part 2ccrs.hanyang.ac.kr/webpage_limdj/circuit2/Chapter15_2.pdf · 2019-12-02 · Z Ex IS S I. m — Exponential Fourier Series - square

N=256

Page 15: Chapter 15 Fourier Series and Fourier Transform Part 2ccrs.hanyang.ac.kr/webpage_limdj/circuit2/Chapter15_2.pdf · 2019-12-02 · Z Ex IS S I. m — Exponential Fourier Series - square

Fig_15-5-7

Page 16: Chapter 15 Fourier Series and Fourier Transform Part 2ccrs.hanyang.ac.kr/webpage_limdj/circuit2/Chapter15_2.pdf · 2019-12-02 · Z Ex IS S I. m — Exponential Fourier Series - square

Fig_15-5-8

Page 17: Chapter 15 Fourier Series and Fourier Transform Part 2ccrs.hanyang.ac.kr/webpage_limdj/circuit2/Chapter15_2.pdf · 2019-12-02 · Z Ex IS S I. m — Exponential Fourier Series - square

N=2

Page 18: Chapter 15 Fourier Series and Fourier Transform Part 2ccrs.hanyang.ac.kr/webpage_limdj/circuit2/Chapter15_2.pdf · 2019-12-02 · Z Ex IS S I. m — Exponential Fourier Series - square

N=25

Page 19: Chapter 15 Fourier Series and Fourier Transform Part 2ccrs.hanyang.ac.kr/webpage_limdj/circuit2/Chapter15_2.pdf · 2019-12-02 · Z Ex IS S I. m — Exponential Fourier Series - square

N=256

Page 20: Chapter 15 Fourier Series and Fourier Transform Part 2ccrs.hanyang.ac.kr/webpage_limdj/circuit2/Chapter15_2.pdf · 2019-12-02 · Z Ex IS S I. m — Exponential Fourier Series - square

The Fourier Spectrum

Page 21: Chapter 15 Fourier Series and Fourier Transform Part 2ccrs.hanyang.ac.kr/webpage_limdj/circuit2/Chapter15_2.pdf · 2019-12-02 · Z Ex IS S I. m — Exponential Fourier Series - square
Page 22: Chapter 15 Fourier Series and Fourier Transform Part 2ccrs.hanyang.ac.kr/webpage_limdj/circuit2/Chapter15_2.pdf · 2019-12-02 · Z Ex IS S I. m — Exponential Fourier Series - square
Page 23: Chapter 15 Fourier Series and Fourier Transform Part 2ccrs.hanyang.ac.kr/webpage_limdj/circuit2/Chapter15_2.pdf · 2019-12-02 · Z Ex IS S I. m — Exponential Fourier Series - square
Page 24: Chapter 15 Fourier Series and Fourier Transform Part 2ccrs.hanyang.ac.kr/webpage_limdj/circuit2/Chapter15_2.pdf · 2019-12-02 · Z Ex IS S I. m — Exponential Fourier Series - square

Fig_15-6-2

Page 25: Chapter 15 Fourier Series and Fourier Transform Part 2ccrs.hanyang.ac.kr/webpage_limdj/circuit2/Chapter15_2.pdf · 2019-12-02 · Z Ex IS S I. m — Exponential Fourier Series - square

Fig_15-6-3

Page 26: Chapter 15 Fourier Series and Fourier Transform Part 2ccrs.hanyang.ac.kr/webpage_limdj/circuit2/Chapter15_2.pdf · 2019-12-02 · Z Ex IS S I. m — Exponential Fourier Series - square

Fig_15-6-4

Page 27: Chapter 15 Fourier Series and Fourier Transform Part 2ccrs.hanyang.ac.kr/webpage_limdj/circuit2/Chapter15_2.pdf · 2019-12-02 · Z Ex IS S I. m — Exponential Fourier Series - square

Fig_15-6-5

Page 28: Chapter 15 Fourier Series and Fourier Transform Part 2ccrs.hanyang.ac.kr/webpage_limdj/circuit2/Chapter15_2.pdf · 2019-12-02 · Z Ex IS S I. m — Exponential Fourier Series - square
Page 29: Chapter 15 Fourier Series and Fourier Transform Part 2ccrs.hanyang.ac.kr/webpage_limdj/circuit2/Chapter15_2.pdf · 2019-12-02 · Z Ex IS S I. m — Exponential Fourier Series - square

Circuits and Fourier Series

Page 30: Chapter 15 Fourier Series and Fourier Transform Part 2ccrs.hanyang.ac.kr/webpage_limdj/circuit2/Chapter15_2.pdf · 2019-12-02 · Z Ex IS S I. m — Exponential Fourier Series - square
Page 31: Chapter 15 Fourier Series and Fourier Transform Part 2ccrs.hanyang.ac.kr/webpage_limdj/circuit2/Chapter15_2.pdf · 2019-12-02 · Z Ex IS S I. m — Exponential Fourier Series - square
Page 32: Chapter 15 Fourier Series and Fourier Transform Part 2ccrs.hanyang.ac.kr/webpage_limdj/circuit2/Chapter15_2.pdf · 2019-12-02 · Z Ex IS S I. m — Exponential Fourier Series - square

Fourier Transform

T

Page 33: Chapter 15 Fourier Series and Fourier Transform Part 2ccrs.hanyang.ac.kr/webpage_limdj/circuit2/Chapter15_2.pdf · 2019-12-02 · Z Ex IS S I. m — Exponential Fourier Series - square

Fourier Transform

Page 34: Chapter 15 Fourier Series and Fourier Transform Part 2ccrs.hanyang.ac.kr/webpage_limdj/circuit2/Chapter15_2.pdf · 2019-12-02 · Z Ex IS S I. m — Exponential Fourier Series - square
Page 35: Chapter 15 Fourier Series and Fourier Transform Part 2ccrs.hanyang.ac.kr/webpage_limdj/circuit2/Chapter15_2.pdf · 2019-12-02 · Z Ex IS S I. m — Exponential Fourier Series - square
Page 36: Chapter 15 Fourier Series and Fourier Transform Part 2ccrs.hanyang.ac.kr/webpage_limdj/circuit2/Chapter15_2.pdf · 2019-12-02 · Z Ex IS S I. m — Exponential Fourier Series - square

Fourier Transform Properties

Page 37: Chapter 15 Fourier Series and Fourier Transform Part 2ccrs.hanyang.ac.kr/webpage_limdj/circuit2/Chapter15_2.pdf · 2019-12-02 · Z Ex IS S I. m — Exponential Fourier Series - square

Linearity

Page 38: Chapter 15 Fourier Series and Fourier Transform Part 2ccrs.hanyang.ac.kr/webpage_limdj/circuit2/Chapter15_2.pdf · 2019-12-02 · Z Ex IS S I. m — Exponential Fourier Series - square
Page 39: Chapter 15 Fourier Series and Fourier Transform Part 2ccrs.hanyang.ac.kr/webpage_limdj/circuit2/Chapter15_2.pdf · 2019-12-02 · Z Ex IS S I. m — Exponential Fourier Series - square
Page 40: Chapter 15 Fourier Series and Fourier Transform Part 2ccrs.hanyang.ac.kr/webpage_limdj/circuit2/Chapter15_2.pdf · 2019-12-02 · Z Ex IS S I. m — Exponential Fourier Series - square
Page 41: Chapter 15 Fourier Series and Fourier Transform Part 2ccrs.hanyang.ac.kr/webpage_limdj/circuit2/Chapter15_2.pdf · 2019-12-02 · Z Ex IS S I. m — Exponential Fourier Series - square
Page 42: Chapter 15 Fourier Series and Fourier Transform Part 2ccrs.hanyang.ac.kr/webpage_limdj/circuit2/Chapter15_2.pdf · 2019-12-02 · Z Ex IS S I. m — Exponential Fourier Series - square
Page 43: Chapter 15 Fourier Series and Fourier Transform Part 2ccrs.hanyang.ac.kr/webpage_limdj/circuit2/Chapter15_2.pdf · 2019-12-02 · Z Ex IS S I. m — Exponential Fourier Series - square