Very challenging Digital signal processing.

AI Thread Summary
The discussion focuses on calculating the energy of the signal x(n) = (1/sqrt(n)) * u(n) and determining if this energy is finite or infinite. The energy is defined by the equation sum|x(n)|^2, which leads to testing the convergence of the series with the term 1/n as n approaches infinity. Participants are seeking assistance with the calculations and convergence tests to ascertain the finiteness of the energy. Clarification is also requested regarding the unit step function u(n) and its role in the signal. Understanding these concepts is crucial for solving the problem effectively.
cleopatra
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Homework Statement



Signal x(n)= (1/sqrt(n)) * u(n)
1.Find the energy of the signal.
2.Is the energy finite or infinite?


Homework Equations



sum|x(n)|^2 = energy

The Attempt at a Solution

 
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You are basically being asked to test the convergence of the series with term 1/n, n ranging from 1 to infinite.
 
I know, I just can´t calculate it out.
Can you please helpe me?

And how do I know if it´s finite or not?
 
It would be helpful if you could show your working

Also, does u(n) = unit step function with n as the parameter ?
 
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