Z-Transform, Cant find this transform

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SUMMARY

The discussion centers on performing z-transformation on the terms 1/(z-3) and 1/(z-5). Participants clarify that these terms are already in z-transform form and suggest using long division to expand the z transfer functions into a series. The inverse transforms can then be derived directly from these expansions. The conversation emphasizes the importance of recognizing existing z-transforms and the method for obtaining their inverse forms.

PREREQUISITES
  • Understanding of z-transformation and its applications
  • Familiarity with inverse z-transforms
  • Knowledge of series expansion techniques
  • Proficiency in long division for polynomial expressions
NEXT STEPS
  • Study the method of long division for z-transform expansions
  • Learn about inverse z-transforms and their derivation
  • Explore standard z-transform tables for common functions
  • Investigate applications of z-transforms in control systems
USEFUL FOR

Students and professionals in engineering, particularly those studying control systems and signal processing, will benefit from this discussion on z-transformation techniques.

the_d
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Homework Statement


I am attempting to perform a z-transformation on the terms 1/(z-3) and 1/(z-5) but I cannot find a sequence which fits this form in any of my tables. Is there a transform for these terms or do you just leave them as they are?


Homework Equations





The Attempt at a Solution



I just left them as they were but I am not sure if that's the correct form
 
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Question is unclear. They're already z transforms. Are you looking for the inverse transforms?
 
rude man said:
Question is unclear. They're already z transforms. Are you looking for the inverse transforms?

Assuming you want to expand your z tranfer functions, use the standard method of long division to come up with a series:

1/(z-3) = 1Ʃanz-n etc.

Then the inverse transform is of course immediately at hand.
 
Last edited:

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