Help me find the inverse Z transform. Thanks

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SUMMARY

The discussion centers on finding the inverse Z transform of a given signal. Participants suggest starting with the original function F(z) and applying the transformation z → z/3. Additionally, they recommend examining the Z transform for the sequence f[n] = [n^2] and recognizing the relationship z-1F(z) ↔ f[n-1]u[n-1]. These steps provide a clear pathway to solving the inverse Z transform problem.

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  • Understanding of Z transforms and their properties
  • Familiarity with the concept of sequences in signal processing
  • Knowledge of the unit step function u[n]
  • Basic skills in manipulating mathematical functions and transformations
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  • Study the properties of the Z transform in detail
  • Learn about the relationship between Z transforms and discrete-time signals
  • Explore examples of inverse Z transforms for various sequences
  • Investigate the application of the unit step function in signal processing
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Students and professionals in signal processing, electrical engineering, and applied mathematics who are looking to deepen their understanding of Z transforms and their applications in analyzing discrete-time systems.

MiZZiTDK
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Hi guys! I am having a problem in finding the inverse z transform of the given signal. Can anyone help me? I'd appreciate it. Thanks!

Here is basically what I did:
FegEiNi.png


However, I don't know what to do next. What is the next thing to do? Thanks!
 
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MiZZiTDK said:
Hi guys! I am having a problem in finding the inverse z transform of the given signal. Can anyone help me? I'd appreciate it. Thanks!

Here is basically what I did:
FegEiNi.png


However, I don't know what to do next. What is the next thing to do? Thanks!
Been a while for me, but might look at:
starting with the original F(z), consider
z → z /3
Then look at the z transform for f[n] = [n2]
and finally realize z-1F(z) ↔ f[n-1]u[n-1].
 
Last edited:

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