What does the symbol ‹[·]› mean in signal and communication systems?

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Discussion Overview

The discussion revolves around the meaning of the symbol ‹[·]› in the context of signal and communication systems. Participants are exploring its potential interpretations and applications within mathematical operations related to signals.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant notes that the symbol resembles a Fourier transform of some unspecified element.
  • Another participant suggests that the dot may indicate a placeholder for an operation, similar to how inner products are represented, but expresses uncertainty about the brackets.
  • A different perspective introduces the average value of a function as a mathematical operation, proposing a specific integral form but does not directly connect it to the symbol in question.

Areas of Agreement / Disagreement

Participants do not appear to reach a consensus on the meaning of the symbol ‹[·]›, with multiple interpretations and uncertainties expressed throughout the discussion.

Contextual Notes

There are limitations in the discussion, including missing definitions and assumptions regarding the symbol's usage, as well as unresolved connections between the proposed interpretations.

j_penac13
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Hello there! I am in a class of signal and communication systems and found this symbol:
‹[·]› But I can't figure what it means, teacher told us to research it. Been reading books like crazy and can't find anything. Hope you can help me.

I put a picture of how he used it, if that helps you.
 

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looks kind of like a Fourier transform of [.]
 
Well, the problem isn't the whole operation, because it is kinda Fourier transform. Thing is what does [.] mean?!
 
Sometimes authors will use a dot to denote where the thing to be operated is supposed to go. For example, the inner product is linear in the first term can be written as:
< . ,u> is linear for any fixed u. Maybe something similar to that? Not sure about the brackets
 
the average value of a function f is usually written as [tex]\frac{1}{b-a} \int_{a}^{b}{f(x)dx}[/tex]

so set a = -T/2 & b = T/2 & then T--> infinity... that's more like it
 

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