Calculating Signal Energy for Given Functions

In summary, To find the signal energy of a signal, you need to compute the time integral of 1/2 x^2(t) /R, assuming X(t) is a voltage on a resistor. To do this, you will need to find the limit when t tends to infinity of the integration of the square of the given function over its period.
  • #1
mathrocks
106
0
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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  • #2
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?
 
  • #3
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].
 
  • #4
0.5 is the energy
 
  • #5
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
 

What is a signal?

A signal is any physical quantity that varies over time or space. It can be represented by a mathematical function or graph, and can convey information or carry energy.

What is a system?

A system is any physical or mathematical entity that processes a signal or set of signals to produce an output. It can be a physical device, a software program, or even a mathematical model.

What is the difference between continuous-time and discrete-time signals?

Continuous-time signals are functions that are defined for all values of time within a certain interval, while discrete-time signals are only defined at specific points in time. Continuous-time signals are represented by continuous functions, while discrete-time signals are represented by sequences of numbers.

What are the different types of systems?

The three main types of systems are linear, time-invariant (LTI) systems, time-varying systems, and nonlinear systems. Linear systems have the property of superposition, meaning that their output is directly proportional to their input. LTI systems have the additional property of shift-invariance, meaning that their output is not affected by a time delay in the input. Time-varying systems have output that changes over time, while nonlinear systems do not follow the principles of superposition or shift-invariance.

How are signals and systems used in real life?

Signals and systems are used in a wide variety of applications, including communication systems, control systems, image and video processing, audio and speech processing, and biomedical signal processing. They are essential in modern technology and play a crucial role in our daily lives.

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