Engineering Finding Impulse Response of Difference Equation

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SUMMARY

This discussion centers on finding the impulse response of difference equations, specifically in the context of discrete convolution. Participants emphasize the necessity of demonstrating prior effort before receiving guidance. Key resources provided include a PDF on signal processing and a chapter from a DSP book, which offer foundational knowledge on convolution and impulse response. The conversation also touches on the notation used in difference equations, such as Y(n) and Y(z), and encourages experimentation with tools like Excel to visualize impulse responses.

PREREQUISITES
  • Understanding of discrete convolution in signal processing
  • Familiarity with difference equations and their notation
  • Basic knowledge of impulse response concepts
  • Proficiency in using Excel for data visualization
NEXT STEPS
  • Study the definition and properties of discrete convolution
  • Explore impulse response calculations using MATLAB or Python
  • Learn about the Z-transform and its applications in difference equations
  • Review the provided resources on signal processing and DSP techniques
USEFUL FOR

Students and professionals in signal processing, engineers working with digital systems, and anyone seeking to understand the mathematical foundations of difference equations and impulse responses.

Nickpga
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Poster has been reminded to show their work on schoolwork problems
Homework Statement
Part of a lab, but basically I need to find the impulse response from this difference equation

y[n] = x[n] + 0.7x[n - 64]
Relevant Equations
y(n) = x(n) convoluted with h(n)
Y(n)/X(n) = H(n)
And really that's all I know how to do myself. If someone can explain/lead me through this, that will be very helpful. Thanks
 
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No, you really have shown no work, so we can't "lead" you through it. As you know, you are required to show some effort here before we can offer tutorial help on schoolwork.

What is the definition of convolution for discrete equations? Have you tried doing this in Excel at least, to see what the impulse response looks like?

http://www.astro.rug.nl/~vdhulst/SignalProcessing/Hoorcolleges/college03.pdf
 
Do they write it as Y(n)? I thought they might use Y(z) instead. Is it possible to write x[n-64] in a way that might be helpful for you to start with and are there any transforms you can try with your equation?
 

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