Problem declaring a signal.

2021 8 10
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更新时间：2021 8 15
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I am a beginner in MATLAB and I'm studying for a test in Signal Processing and don't know how to tackle this some parts of this problem: "Using Matlab, convolve the two discrete-time signals: x1=(1/3)*(δ[n−1]+δ[n]+δ[n+1]) and x2 given by signal2.mat. Store the convolution (x1∗x2) in the variable x."
signal2.mat only contain the variable n which is an interval from -10 to 10 with a step of 1 and x2 which contain 21 random values.
I don't know what delta represents in x1 and how to implement/declare it in MATLAB. Any help is appreciated! I know what to do after I've declared x1, so further help than that is not needed!

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Star Strider
Star Strider 2021-8-10
The reference to is most likely the Dirac delta function, described in the Symbolic Math Toolbox dirac function.
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Sahil Jain
Sahil Jain 2021-8-13

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The "δ[n]" generally refers to the Dirac delta function. The following code will help you generate the required signal.
n=-10:1:10;
x1=(1/3)*(dirac(n-1)+dirac(n)+dirac(n+1));
More information about the Dirac delta function can be found on its documentation page.

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Mattias Eek
Mattias Eek 2021-8-15

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For anyone wondering how I solved this, here's my solution:
load = 'signal2.mat';
L = 21;
f = zeros(1,L);
mid = ceil(L/2);
for i=mid-1:mid+1
f(i)=1/3;
end
x1=f;
x = conv(x1,x2);
You can probably solve it using dirac, like @Sahil Jain mentioned above, but this worked for me.

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