Finding Impulse Response of Difference Equation

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Discussion Overview

The discussion revolves around finding the impulse response of a difference equation, focusing on the methods and resources available for understanding convolution in discrete systems. Participants explore various approaches and tools that may assist in this process.

Discussion Character

  • Homework-related, Technical explanation

Main Points Raised

  • One participant expresses a need for guidance in understanding the impulse response and requests help.
  • Another participant emphasizes the importance of showing prior effort before receiving tutorial assistance, suggesting that the original poster has not demonstrated sufficient work.
  • A question is raised regarding the definition of convolution for discrete equations, prompting a suggestion to experiment with Excel to visualize the impulse response.
  • Additional resources are shared to aid in understanding the topic, including links to relevant technical documentation.
  • A participant queries the notation used for output (Y(n) vs. Y(z)) and suggests exploring different representations of the input signal, specifically x[n-64], to facilitate the analysis.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the best approach to finding the impulse response, and multiple viewpoints regarding the necessary prior effort and resources remain evident.

Contextual Notes

The discussion highlights a lack of clarity on the specific definitions and transformations applicable to the difference equation, as well as the need for further exploration of notation and methods.

Who May Find This Useful

This discussion may be useful for students or individuals seeking assistance with difference equations, impulse response analysis, or convolution in discrete systems.

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
 
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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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