Plot time continous singal by using a sum of time invariant signals

Question

Jenny Sundström 2022-5-20

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此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/1723765-plot-time-continous-singal-by-using-a-sum-of-time-invariant-signals

回答： Chandra 2022-5-23

I want to make a plot of the following:

Where the input x(t) is given as:

and x[n] is the sampled signal of x(t). Below is the code of how I tried to solve it:

f_s = 2,1; Ts = 1/f_s;

t = -5:Ts:5; x = @(t)((3/2) + (3/10) sin(2pit) + sin(2pit/3) - sin(2pit/10)).sinc(t);

syms n

x_t = @(t) symsum(x(n/f_s)sinc((t-nTs)/Ts), n, -5, 5);

x_0 = x_t(t);

plot(x_0, t)

But I can't seem to make it work nor do I understand why. Below are error messages:

Error using symengin Division by zero.

Error in sym/symsum (line 70) rSym = mupadmex('symobj::map',fsym.s,'symobj::symsum',x.s,a.s,b.s);

Error in matlabasklol>@(t)symsum(x(n/f_s)sinc((t-nTs)/Ts),n,-5,5) (line 7) x_t = @(t) symsum(x(n/f_s)sinc((t-nTs)/Ts), n, -5, 5);

Error in matlabasklol (line 8) x_0 = x_t(t);

Would be very grateful for some help or pointers here, many thanks.

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Answer 1

Chandra 2022-5-23

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https://ww2.mathworks.cn/matlabcentral/answers/1723765-plot-time-continous-singal-by-using-a-sum-of-time-invariant-signals#answer_969590

在 MATLAB Online 中打开

Hi,

Replace the “symsum” function with “for” loop and plot the signal

f_s = 2;  
Ts = 1/f_s;  
t = -5:Ts:5; % change the the interval of signal like -10:Ts/5:10 
x = @(t)((3/2) + (3/10)*sin(2*pi*t) + sin(2*(pi)*t/3) - sin(2*pi*t/10)).*sinc(t); 
x_0 = zeros(1,length(t)); 
for j = 1:length(t) 
    for i = -6:6 
        a = x(i)*sinc((j-i*Ts)/Ts); 
        x_0(j) = a + x_0(j); 
    end 
end 
plot(t,x_0) 