Understanding Convolution Sum: Solving a Signal Equation

  • Thread starter Thread starter Angello90
  • Start date Start date
  • Tags Tags
    Signals Systems
AI Thread Summary
The discussion revolves around evaluating the signal x[n] = 2u[n+2] - 3u[n-2] + u[n-4] and determining the validity of specific values for x[n]. The user initially believes the values x[-2]=2, x[2]=-1, and x[4]=0 are false due to inconsistencies found when substituting into the equation. Other participants suggest that the user should first graph the function and apply the unit step function u[n] correctly to resolve the confusion. Ultimately, the user finds success in visualizing the signal through convolution sum techniques. Understanding the proper application of unit step functions is crucial for accurate signal analysis.
Angello90
Messages
65
Reaction score
0
Hi there,

This is a different question I tried.

The signal is given as x[n] = 2u[n+2] - 3u[n-2] +u[n-4], and it has values x[-2]=2, x[2]=-1 and x[4]=0. True or false?

I think it's false cause If I plug in all the x in each case ie, -2, 2 and 4, into the signal, than I get 3 different values for u.

For x[-2]; u = 1/3
For x[ 2]; u = -1/6
For x[ 4]; u = 0

Is that correct way to do this question?
Help guys!

Thanks
 
Physics news on Phys.org
This is not homework!
 
Angello90 said:
This is not homework!

The Homework Help forums are the right place for this type of question, since it is schoolwork. Please see this thread for a discussion about the PF Rules on schoolwork:

https://www.physicsforums.com/showthread.php?t=373889

.
 
you have to draw x(n) first. Then apply what they gave you. All are true
 
Ok so today I did something called Convolution Sum, and my lecture showed me how to draw graphs with u[n], and for the question above I was able to come up with a graph.

Is this correct?

attachment.php?attachmentid=29447&d=1288203219.jpg
 

Attachments

  • graph.jpg
    graph.jpg
    14.6 KB · Views: 416
Back
Top