Very challenging Digital signal processing.

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Discussion Overview

The discussion revolves around the energy of the discrete signal x(n) = (1/sqrt(n)) * u(n), focusing on whether the energy is finite or infinite. Participants are exploring the convergence of the series related to the signal's energy calculation.

Discussion Character

  • Homework-related

Main Points Raised

  • One participant states that the problem involves testing the convergence of the series with terms of 1/n, where n ranges from 1 to infinity.
  • Another participant expresses difficulty in calculating the energy and seeks assistance in determining its finiteness.
  • A different participant provides a link to a resource that may assist in understanding convergence tests, suggesting it contains the answer.
  • One participant requests to see the working steps of the calculations and seeks clarification on whether u(n) refers to the unit step function.

Areas of Agreement / Disagreement

The discussion remains unresolved, with participants expressing different levels of understanding and seeking clarification on the calculations and definitions involved.

Contextual Notes

There are limitations regarding the assumptions made about the convergence of the series and the definitions of the functions involved, which have not been fully explored or resolved.

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 ?
 
Last edited:

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