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COMM 401: SIGNALS & SYSTEMS Lecture 09: Discrete Time Fourier Series

COMM 401: SIGNALS & SYSTEMS Lecture 09: Discrete Time Fourier Series. Dr.-Ing. Khaled Shawky Hassan Faculty of Information Engineering and Technology khaled.shawky@guc.edu.eg. Fourier series coefficient. clear; N=10; % fundamental period w0= 2*pi/N; % fundamental frequency

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COMM 401: SIGNALS & SYSTEMS Lecture 09: Discrete Time Fourier Series

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  1. COMM 401: SIGNALS & SYSTEMSLecture 09: Discrete Time Fourier Series Dr.-Ing. Khaled Shawky Hassan Faculty of Information Engineering and Technology khaled.shawky@guc.edu.eg

  2. Fourier series coefficient clear; N=10; % fundamental period w0= 2*pi/N; % fundamental frequency n = 1:1:N; % discrete time (one period) % different signals: x=[1 1 0 0 0 0 0 1 1 1]; % x=sin(w0*n); % x=cos(w0*n); % x=exp(j*2*w0*n); % x=[1 1 1 1 1 1 1 0 0 1]; % x=[4 3 2 1 0 1 2 3 4 5]; for ik=1:N, a(ik) = 1/N*sum(x.*exp(-j*ik*w0*n)); end Dr.-Ing. Khaled Shawky Hassan Electronics and Electrical Engineering Department

  3. signal Dr.-Ing. Khaled Shawky Hassan Electronics and Electrical Engineering Department

  4. frequency spectrum Dr.-Ing. Khaled Shawky Hassan Electronics and Electrical Engineering Department

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