From a transfer function to a difference equation

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SUMMARY

The discussion centers on converting a transfer function into a difference equation for a digital system. Seán presents his work and receives feedback highlighting a typo in the sixth equation's third term on the right-hand side (RHS). After correcting the error, Seán confirms the accuracy of his derivation, indicating a successful understanding of the conversion process.

PREREQUISITES
  • Understanding of transfer functions in digital systems
  • Familiarity with difference equations
  • Basic knowledge of signal processing concepts
  • Proficiency in mathematical notation and derivation techniques
NEXT STEPS
  • Study the process of converting transfer functions to difference equations
  • Learn about common errors in mathematical derivations
  • Explore digital signal processing tools for system analysis
  • Review examples of transfer function applications in control systems
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Students and professionals in electrical engineering, control systems engineers, and anyone involved in digital signal processing who seeks to understand the conversion between transfer functions and difference equations.

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Hello.

I have been given a transfer function for a digital system, and I need to find the difference equation for that system.

I have attached a pdf with my work. I would be grateful if someone could take a look at it, and see if I am along the right lines.

Thanks in advance, and happy new year to you all.

Seán
 

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I thought I had responded to this before.

You have a typo in your 6th equation, 3rd term on RHS.

Otherwise, I see nothing wrong with your derivation of the differencce equation.
 
Hello,

Thank you very much for the reply!

Yea, I spotted that one a bit after I posted.

Thanks for the feedback! :)

Seán
 

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