푸리에 급수와 푸리에 변환 분석 실험 보고서 (Fourier Series & Transform Analysis)
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- 2022.06.23
- 최종 저작일
- 2020.11
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소개글
MATLAB을 이용해 신호와 파동에 따른 푸리에 급수와 변환을 분석한 실험 보고서 입니다. 자료는 영어로 되어있고 MATLAB 코드도 보고서에 자세히 첨부되어 있습니다. 높은 점수를 받았던 과제이므로 비슷한 실험이나 과제를 하시는 분들이 참고하시면 도움이 될거 같아서 올립니다!
목차
1. Fourier Synthesiser
2. Discrete Fourier Transform
3. References
본문내용
From the above figures, we can see the behaviour of the partial sum when N is increased. As N increases, the plotted graphs will be similar to the original function x(t). For the triangular waveform, the convergence of the Fourier series is unvaried. Thus, it is difficult to check the difference between the original signal x(t) and the partial sums after few steps. On the other hand, we can clearly observe the difference between the partial sum of square waveform and the original signal. Although it converges closer to the middle point, we can observe a finite overshoot around the jump.
참고 자료
“Convergence of Fourier series,” Manchester: University of Manchester [Online]. Available: https://oer.physics.manchester.ac.uk/PDEs/Notes/jsmath/Notesse16.html
L. Illing, FOURIER ANALYSIS. Reed: Reed College, 2008. Available: https://www.reed.edu/physics/courses/Physics331.f08/pdf/Fourier.pdf
(2011, Sep.). Gibbs’ Phenomenon [Online]. Available: https://ocw.mit.edu/courses/mathematics/18-03sc-differential-equations-fall-2011/unit-iii-fourier-series-and-laplace-transform/operations-on-fourier-series/MIT18_03SCF11_s22_7text.pdf
“The Fourier Series,” Pennsylvania: Swarthmore College [Online]. Available: https://lpsa.swarthmore.edu/Fourier/Series/WhyFS.html
