Determine impulse response given input and output signals

[jsg94]

Homework Statement

Hello everyone,

In the following problem I have to find the unknown impulse response g1(t) given the input and output signals, as shown below:
(the answer is already there, at the moment I am trying to understand how to get there).

Homework Equations

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I have attempted to use the following convolution shortcut for two rectangular signals, but can't really figure out how they obtained the answer from above.

The Attempt at a Solution

I understand how they did the convolution shortcut above, but I am having a hard time trying to apply it to the given problem. I do not know if there is a different method I would be able to use. I find it a little difficult to do the regular convolution method if you are given the output signal, and not the signal you're convoluting your input with.

This might be simpler than I thought and I am just over complicating things, who knows.

Thank you in advance for your assistance :) I really appreciate it

 

[scottdave]

I haven't worked it out yet, but I have a question about terminology. It seems that the question is inferring that Impulse Response is the same as Step Response. Is that the way you are reading it?

 

[jsg94]

I haven't worked it out yet, but I have a question about terminology. It seems that the question is inferring that Impulse Response is the same as Step Response. Is that the way you are reading it?

Hello, I think that would be a typo. Sorry, I know it's misleading that they're asking for the impulse response and then on the figure label it says step response.

 

[rude man]

Just came across this today. Any remanent interest in this?