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I am stumped on this...
Given a discrete function, and transform pair: x(n) \leftrightarrow \hat x (e^{j\omega})
What is the transform of:
x_3(n) = (n-1)^2 x(n)
I really don't know how to do this. I have a table proprety for nx(n) [/tex], but nothing with n^2 x(n). The only thing I can think of is expanding it as: x_3(n) = (n-1)^2x(n) = n^2x(n) - 2nx(n) +x(n)... but I'm stuck on the n^2 part. My intuition says that it has something to do with the differentiation property, but I'm really stuck, and can't figure this out. Any help would be awesome. thanks :)
Given a discrete function, and transform pair: x(n) \leftrightarrow \hat x (e^{j\omega})
What is the transform of:
x_3(n) = (n-1)^2 x(n)
I really don't know how to do this. I have a table proprety for nx(n) [/tex], but nothing with n^2 x(n). The only thing I can think of is expanding it as: x_3(n) = (n-1)^2x(n) = n^2x(n) - 2nx(n) +x(n)... but I'm stuck on the n^2 part. My intuition says that it has something to do with the differentiation property, but I'm really stuck, and can't figure this out. Any help would be awesome. thanks :)