Plot the signals y(t)=sin(8πt) and g(t)=sin(18πt). Then sample both with a sampling period of 1/13s. Sketch the discrete signals. What do you observe?

Question

Joshua12 2016-7-20

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https://ww2.mathworks.cn/matlabcentral/answers/296548-plot-the-signals-y-t-sin-8-t-and-g-t-sin-18-t-then-sample-both-with-a-sampling-period-of-1-13s

回答： Azzi Abdelmalek 2016-7-20

I was given this problem and so far, this is what I've done

t = [0:0.1:13]
y = sin(8*pi*t);
g = sin(18*pi*t)
plot(t,y,'color','r'); hold on;
plot(t,g,'color','b');

What I'm really confused on is the sampling period and sketching the discrete signals. Did I implement the sampling time correctly in t? Is there a way to create a discrete signal?

Thank you.

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Answer 1

J. Webster 2016-7-20

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编辑：J. Webster 2016-7-20

在 MATLAB Online 中打开

Since t is an array, and you want y and g to be arrays, you need to use the . notation for operations...

so for example, replace

18*pi*t 
with
18.*pi.*t

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Answer 2

Star Strider 2016-7-20

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在 MATLAB Online 中打开

The ‘1/13s’ I believe should be the step in your ‘t’ vector.

This is how I interpret the problem:

tlim = 1;
tc = linspace(0, tlim, 250);
t = [0:(1/13):tlim];
y = @(t) sin(8*pi*t);
g = @(t) sin(18*pi*t);
figure(1)
subplot(2,1,1)
plot(tc,y(tc),'-r',  tc,g(tc),'-b'); 
grid
subplot(2,1,2)
plot(t,y(t),'-r',  t,g(t),'-b');
grid