Calculating Signal Energy for Given Functions

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Discussion Overview

The discussion revolves around calculating the signal energy for a given function, specifically x(t) = rect(t) sin(2*pi*t). Participants explore different methods and interpretations related to the calculation of signal energy, including voltage and current relationships, integrals, and assumptions about the context of the signal.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested, Mathematical reasoning

Main Points Raised

  • One participant questions how to find the signal energy for the function x(t) = rect(t) sin(2*pi*t).
  • Another participant suggests that to calculate energy, voltage and current relationships over time are needed, asking for the context of the question.
  • A different reply proposes that if X(t) is assumed to be a voltage across a resistor, the energy can be computed using the time integral of 1/2 x^2(t) / R.
  • One participant claims that the energy is simply 0.5, without further elaboration.
  • Another participant challenges the previous statements, asserting that to find the signal's energy, one must take the limit as t approaches infinity of the integral of the square of the function over its period.

Areas of Agreement / Disagreement

Participants express differing views on how to calculate signal energy, with no consensus reached on the correct method or interpretation of the problem.

Contextual Notes

There are varying assumptions about the context in which the function is applied, such as whether it represents a voltage across a resistor or another scenario. The mathematical steps and definitions involved in calculating energy are not fully resolved.

mathrocks
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I have a question about finding the signal energy of a signal? What exactly are you suppose to do when you are given a certain function like
x(t)=rect(t) sin(2*pi*t)?
 
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To calculate energy, you will need the voltage and current relationships over time, or else the voltage over time and the impedance that the voltage is across. What's the context of the question?
 
mathrocks said:
I have a question about finding the signal energy of a signal? What exactly are you suppose to do when you are given a certain function like
x(t)=rect(t) sin(2*pi*t)?


You would assume that X(t) is a voltage on a resistor and compute the
time integral of [tex]1/2 x^2(t) /R[/tex].
 
0.5 is the energy
 
What the Hell are you all talking about ?
to find the signals energy you need to find
the limit when t tends to infinity of the the integration of the square of the given function over it's period
 

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