This problem is in the context of discrete systems and signals.
My goal is to find an equation for y(n) without the summation.
\(y(n)=\sum_k k(n-k)u(k-4)u(k+2-n)\)
where \(u(k)\) is the unit step function, k is from -inf to inf, and n=0,1,2,3...
So I need to eliminate the unit step functions from the equation by changing the limits of summation:
if \(k-4\geq 0\) then \(u(k-4)=1\). And so it's eliminated from my summation above.
if \(k+2-n\geq 0\) then \(u(k+2-n)=1\). And it's also eliminated.
So my limits of summation are \(k\geq 4\) and \(k\geq n-2\). But the limits don't define a finite range! Can anyone help?
My goal is to find an equation for y(n) without the summation.
\(y(n)=\sum_k k(n-k)u(k-4)u(k+2-n)\)
where \(u(k)\) is the unit step function, k is from -inf to inf, and n=0,1,2,3...
So I need to eliminate the unit step functions from the equation by changing the limits of summation:
if \(k-4\geq 0\) then \(u(k-4)=1\). And so it's eliminated from my summation above.
if \(k+2-n\geq 0\) then \(u(k+2-n)=1\). And it's also eliminated.
So my limits of summation are \(k\geq 4\) and \(k\geq n-2\). But the limits don't define a finite range! Can anyone help?
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