Expressing signal as a sum of functions

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Discussion Overview

The discussion revolves around expressing the function V(t) = [2t - 4] u(t) u(4 - t) as a sum of step and ramp functions. Participants explore the meaning of the unit step function and its implications in the context of the given problem.

Discussion Character

  • Homework-related, Conceptual clarification

Main Points Raised

  • One participant seeks to express V(t) as a sum of step and ramp functions but indicates a lack of understanding on how to proceed.
  • Another participant questions the meaning of the term u(t-4), suggesting it refers to a unit step function displaced by four units in time.
  • A subsequent reply confirms the interpretation of u(t-4) as a unit step function displaced by four units, but also expresses uncertainty about the original problem.
  • Another participant requests a verbal explanation of the features an observer would see in the function V(t) = 2t, specifying a need for a detailed response.

Areas of Agreement / Disagreement

Participants generally express uncertainty regarding the problem and the interpretation of the unit step function, with no consensus reached on how to express V(t) as required.

Contextual Notes

Participants have not provided specific definitions or assumptions regarding the functions involved, and there are unresolved steps in the mathematical approach to the problem.

Who May Find This Useful

Students or individuals interested in signal processing, particularly those learning about step and ramp functions in the context of mathematical modeling.

abcdefhij
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Homework Statement



V(t) = [2t - 4] u(t) u(4 - t)

I need to express this a sum of step and ramp functions.



Homework Equations





The Attempt at a Solution


I have absolutely no idea how to proceed
 
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What is the meaning of this: u(t-4) ?
 
unit step displaced by four units in time, I believe?
 
FOIWATER said:
unit step displaced by four units in time, I believe?
Are you also abcdefhij?
 
No I am not, sorry
 
Sorry

Sorry I have been really busy and unfortunately I was not able to reply to your comments soon
enough. Yes, it is unit step time, and I have no idea how to do the question
 
abcdefhij said:
Sorry I have been really busy and unfortunately I was not able to reply to your comments soon
enough. Yes, it is unit step time, and I have no idea how to do the question

Can you explain in words what features an observer would see in this function: V(t) = 2t

I would need at least 50 words, you may need a few more than that.
 

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