HELP unit-pulse response for the discrete time system problem

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SUMMARY

The discussion focuses on computing the unit-pulse response for two discrete-time system problems. The first equation, y[n + 2] + 1/2 y[n+1] + 1/4 y[n] = x[n+1] - x[n], presents options a. 0, -1, 2; b. 0, -1, 1/2; c. 0, 1, -3/2; and d. 0, 1, 2. The second equation, y[n + 2] + 1/4 y[n+1] - 3/8 y[n+2] = 2x[n+2] - 3x[n], offers options a. 0, -1, 4; b. 2, -1/4, 1/2; c. 0, -1, -3/2; and d. 2, -1/2, -17/8. The thread emphasizes the importance of showing work for assistance in homework forums.

PREREQUISITES
  • Understanding of discrete-time systems
  • Familiarity with unit-pulse response concepts
  • Knowledge of difference equations
  • Basic skills in signal processing
NEXT STEPS
  • Study the method for solving difference equations in discrete-time systems
  • Learn about the Z-transform and its application in analyzing discrete systems
  • Explore the concept of impulse response in signal processing
  • Review examples of unit-pulse response calculations for various systems
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Students and professionals in electrical engineering, particularly those focusing on signal processing and control systems, will benefit from this discussion.

Raihan
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HELP!unit-pulse response for the discrete time system problem

Please help me solve these problems. Thank you so much for all your help.

Compute the unit-pulse response for the discrete time system

1) y[n + 2] + 1/2 y[n+1]+1/4y[n] = x[n+1]-x[n] (for n = 0, 1, 2)
For number 1) the options for right answers are:
a. 0, -1, 2
b. 0, -1, 1/2
c. 0, 1, -3/2
d. 0, 1, 2

2) y[n + 2] + 1/4 y[n+1]-3/8y[n+2] = 2x[n+2]-3x[n](for n = 0, 1, 2)
For number 2) the options for right answers are:
a. 0, -1, 4
b. 2, -1/4, 1/2
c. 0, -1, -3/2
d. 2, -1/2, -17/8

I am completely stuck if you could at least give me the right answer still it will be helpful.
 
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Do not double-post, Raihan. The other thread you started with the same question is in the EE forum:

https://www.physicsforums.com/showthread.php?t=138742

This thread is now locked. Any responses you receive will need to be in the other thread. And remember that you need to show your own work in order to get help her in the PF homework forums. We can be a big help if you are willing to do some work. We are not a source of answers to your homework problems.
 

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