sampling

# sampling - Sampling and different methods of reconstruction...

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Sampling and different methods of reconstruction --- a MATLAB experiment for Purdue ECE 301, by Prof. Chih-Chun Wang. Preparation (different from the previous MATLAB experiments) 1. Download the different wav files x1.wav (Save it as “x1.wav”.) 2. Download the following m files: ece301conv.m , ece301_sampler.m , ece301_ZOH.m , ece301_Lin.m , ece301_Opt.m . 3. Open MATLAB and change the directory to where you have saved the previous files. 4. Enter the following commands duration=8; f_sample=44100; t=(((0-4)*f_sample+0.5):((duration-4)*f_sample-0.5))/f_sample; Basic operations: 1. If you want to construct a sin wave with frequency 440Hz, use the following commands: f=440; s=sin(2*pi*f*t); If you want to construct a sinc function sinc(t), use the command: sc=sin(pi*t)./(pi*t); Note: every time you do vector multiplication or division, you need to add a period “.” before the “*” and “/” operator. 2. The convolution of two signals x1 and x2 can be achieved by the following command y=ece301conv(x1,x2); 3. If you would like to sample a continuous-time signal x with sampling period 0.02 sec, then use the following command. x=sin(t); T=0.2;

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[xn, sampling_index, sampling_locations]=ece301_sampler(x,T); If you would like to plot the new discrete time signal x[n], use the following command stem(sampling_index, xn); xlabel('n'); ylabel('x[n]'); If you would like to place the sampled values in their corresponding positions, use the following command plot(sampling_locations, xn, 'o'); xlabel('t (sec)'); ylabel('x(nT)'); Remark: Notice the change of the time-axis. You can also compare the continuous-time signal and the sampled values by plot(t, x, sampling_locations, xn, 'ro'); xlabel('t (sec)'); legend('x(t)', 'x(nT)'); Requirement: You are asked to plot several figures. Print all the figures for each objective. Your HW
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sampling - Sampling and different methods of reconstruction...

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