Ques 4: Can we use time shifting to simplify signal operations?

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SUMMARY

The discussion focuses on signal operations involving time shifting, specifically addressing the transformations of the signal x[n]. The participants analyze the correctness of the transformations x[4-n] and x[2n], with differing opinions on the outcomes. Additionally, the calculation of x[n]u[2-n] is examined, where the unit step signal is manipulated to determine its effect on the original signal. The conversation highlights the importance of understanding signal transformations in discrete-time signal processing.

PREREQUISITES
  • Understanding of discrete-time signals and systems
  • Familiarity with time shifting and scaling in signal processing
  • Knowledge of unit step functions and their properties
  • Basic skills in manipulating mathematical expressions related to signals
NEXT STEPS
  • Study the properties of time-shifting in discrete-time signals
  • Learn about the effects of scaling on signals, specifically x[2n]
  • Explore the concept of unit step functions and their applications in signal processing
  • Investigate common pitfalls in signal transformations and how to avoid them
USEFUL FOR

Students and professionals in electrical engineering, signal processing, and anyone involved in analyzing or designing discrete-time systems will benefit from this discussion.

coolrp
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Kindly see the question above.

First signal is x[n]

Ques 1: we are required to find x[4-n]

The way I did, the answer should be (a) but one of the solution says (b).

Which is the correct one?Ques 2: What are we to do while finding x[2n]? Consider only 0, 1 and 2 as twice of those gives 0, 2 and 4 which is what we have from x[n]? or does the whole signal redistribute at -2, 0, 2,4, 6, 8?

Ques 3: How do we calculate x[n]u[2-n]?
I took unit step signal, flipped it at 0 to get u[-n] and then shifted it by 2 which makes the new step signal from -2 to - infinity. Multiplying this with x[n] gives zero. Is it correct?
 
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@salzrah Why did you remove the answer? is it wrong or what?
 

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