How can i create a convolution using toeplitz matrix?

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Gn Gnk
Gn Gnk 2019-11-5
评论： Gn Gnk 2019-11-6
Hello ,
i want to create a convolution between two signals but i need to make this happen using the teoplitz command that creates a toeplitz matrix .The problem here is that my first signal (h) is 1x5 matrix and the other signal (a) is 1x21 matrix .The process should be y=toeplitz(h or a) .* transpose(h or a) .How can i create the convolution using the toeplitz command in matlab?
thank you.

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Matt J
Matt J 2019-11-5
编辑：Matt J 2019-11-5
Consider
>> x=1:5, y=rand(1,5),
x =
1 2 3 4 5
y =
0.2899 0.4714 0.8782 0.6555 0.3184
and notice,
>> v1=(tril(toeplitz(x))*y(:)).'
v1 =
0.0306 0.6362 2.2098 4.2551 6.6630
>> v2=conv(x,y); v2=v2(1:numel(v1))
v2 =
0.0306 0.6362 2.2098 4.2551 6.6630
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