Power/Energy Signal Homework: u[n] - u[n-4]

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SUMMARY

The discussion centers on determining whether the signal u[n] - u[n-4] is classified as a power signal or an energy signal. Participants conclude that u[n] - u[n-4] equals 1 for n = 0, 1, 2, 3, and 0 elsewhere, leading to an energy value of Ex = 4. This definitive calculation confirms that u[n] - u[n-4] is classified as an energy signal. The reasoning emphasizes the importance of the finite duration of the signal in establishing its classification.

PREREQUISITES
  • Understanding of discrete-time signals
  • Familiarity with the definitions of power signals and energy signals
  • Knowledge of the unit step function, u[n]
  • Basic mathematical skills for signal analysis
NEXT STEPS
  • Study the properties of the unit step function, u[n]
  • Learn about the mathematical definitions and formulas for energy and power signals
  • Explore examples of signal classification in discrete-time systems
  • Investigate the implications of signal duration on energy calculations
USEFUL FOR

Students in electrical engineering, signal processing enthusiasts, and anyone studying discrete-time signal classification will benefit from this discussion.

smart_worker
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Homework Statement


Determine whether u[n] - u[n-4] is a power or energy signal.

Homework Equations


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The Attempt at a Solution


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I am stuck here. I don't know how to simply further. Please help.
 
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You could tell by inspection based on the definitions of "energy signal" and "power signal". If you want to use that formula, what can you say about the equivalence of u[n] - u[n-4] and |u[n] - u[n-4]|2 ?
 
lewando said:
You could tell by inspection based on the definitions of "energy signal" and "power signal". If you want to use that formula, what can you say about the equivalence of u[n] - u[n-4] and |u[n] - u[n-4]|2 ?

I think u[n] - u[n-4] = 1 for n=0,1,2,3 and 0 elsewhere.
So, Ex becomes 4. So, it's an Energy Signal. Am I right?
 
smart_worker said:
I think u[n] - u[n-4] = 1 for n=0,1,2,3 and 0 elsewhere.
So, Ex becomes 4.
That is exactly right.
So, it's an Energy Signal.
You might want to indicate (for others who might want to follow your logic) what is so special about "4" that leads you to classify the signal as you have. What if the result was "5"?
 

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