Very challenging Digital signal processing.

Click For Summary
SUMMARY

The discussion centers on the energy calculation of the discrete signal x(n) = (1/sqrt(n)) * u(n), where u(n) represents the unit step function. Participants are tasked with determining the energy of the signal using the formula sum|x(n)|^2 = energy and assessing whether the energy is finite or infinite. The convergence of the series with terms of 1/n is crucial for this evaluation, and resources such as convergence tests are recommended for further understanding.

PREREQUISITES
  • Understanding of discrete signals and systems
  • Familiarity with the unit step function, u(n)
  • Knowledge of series convergence tests
  • Basic principles of energy calculation in signals
NEXT STEPS
  • Study convergence tests for series, focusing on the harmonic series
  • Learn about energy calculations in discrete-time signals
  • Explore the properties of the unit step function, u(n)
  • Review the implications of finite vs. infinite energy in signal processing
USEFUL FOR

Students and professionals in electrical engineering, particularly those focusing on signal processing, as well as anyone involved in analyzing discrete-time signals and their energy properties.

cleopatra
Messages
45
Reaction score
0

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

 
Physics news on Phys.org
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:

Similar threads

  • · Replies 2 ·
Replies
2
Views
3K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 6 ·
Replies
6
Views
5K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 9 ·
Replies
9
Views
2K
  • · Replies 7 ·
Replies
7
Views
3K
  • · Replies 3 ·
Replies
3
Views
4K
  • · Replies 2 ·
Replies
2
Views
2K