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موضوع	Sampling Theory
رشته	مخابرات سیستم
توضیحات	Digital Communications (LAB) Computer Experiment I: Sampling Theory Objectives: In this experiment you will investigate Sampling Theorem. A-Prelab Assignment: Given signal x(t) = sinc(t): 1.Find out the Fourier transform of x(t), X (f ), sketch them. 2.Find out the Nyquist sampling frequency of x(t). 3.Given sampling rate fs, write down the expression of the Fourier transform of xs(t), Xs(f ) in terms of X (f ). 4.Let sampling frequency fs = 1Hz. Sketch the sampled signal xs(t)= x(kTs) and the Fourier transform of xs(t), Xs(f ). 5.Let sampling frequency fs = 2Hz. Repeat 4. 6.Let sampling frequency fs = 0.5Hz. Repeat 4. 7.Let sampling frequency fs = 1.5Hz. Repeat 4. 8.Let sampling frequency fs = 2/3Hz. Repeat 4. 9.Design a Matlab function to calculate the Fourier transform of a sampled signal xs(t), This is necessary in your experiments. http://uupload.ir/files/bw6r_12-14-2015_11-53-59_am.jpg NOTE: In Matlab and this experiment, sinc(t) is defined as sinc(t) = sin(πt)/(πt). Under this definition: sinc(2Wt) → 1/(2W ) rect(f/2W ). B. Procedure: 1. Design Matlab programs to illustrate items 4-8 in Prelab. You need to plot all the graphs. 2. Compare your results with your sketches in your Prelab assignment and explain them.
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