How Do You Calculate Convolution with the Sign Function?

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Homework Help Overview

The discussion revolves around calculating the convolution involving the sign function, specifically addressing the challenges faced by the original poster in their attempt to solve the problem.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the need to analyze the convolution for different cases based on the value of t and suggest alternative approaches to simplify the integral.

Discussion Status

Some participants have offered suggestions for re-evaluating the approach, indicating a productive direction in the discussion. However, there is no explicit consensus on the correctness of the attempts made so far.

Contextual Notes

The original poster's inquiry includes a reference to a visual aid, which may contain additional context or information relevant to the problem but is not detailed in the discussion.

PhysicsGirl90
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Hello all,

I am having some trouble calculating a convolution. For the question, and my attempt at a solution, please take a look at the pic. Can someone please point me in the right direction?
 

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I didn't check your work closely. If it's correct, you probably want to now look at two cases separately: t<0 and t>0.

The other suggestion I'd have is to try using ##\tau-t## as the argument of sgn instead of the exponential. It might make the integral easier to analyze.
 
Ok, I will try it and see what i get
 
Tried it that way, got 2exp(-t) -1 :rolleyes:
 

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