Finding the Convolution of Two Discrete Signals

hussainee1988
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Homework Statement



x(n)=u(n);
h(n)=(0.5)^n;
y(n)=x(n)*h(n);
find y(n)

Homework Equations





The Attempt at a Solution


thank you
 
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the * referred to convolution
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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