Results 1 to 2 of 2

Math Help - why do i need to transform, integral transforms?

  1. #1
    Newbie
    Joined
    Sep 2010
    Posts
    1

    Lightbulb why do i need to transform, integral transforms?

    Basically the integral transforms used to transfer the function from the time domain to frequency domain and vice versa. For example for those transform techniques, Laplcae Transform, Fourier transform, Z-transform, Poisson Transform, ...etc. However, why do i need to change back and forth from Time domain to Frequency domain and how can i judge the necessity for conversion??
    Note:- I'm more concern about this topic from Electrical engineering perspective.

    Looking Forward

    Thank you in advance
    Last edited by mr fantastic; September 12th 2010 at 08:07 PM. Reason: Title
    Follow Math Help Forum on Facebook and Google+

  2. #2
    A Plied Mathematician
    Joined
    Jun 2010
    From
    CT, USA
    Posts
    6,318
    Thanks
    4
    Awards
    2
    You never technically need to work in a frequency domain. However, doing so can render certain types of differential/difference equations much easier to solve. Especially straight-forward to solve using these techniques are linear non-homogeneous initial value problems. The Laplace Transform can make mincemeat of many such problems, and ends up being much easier to use than many other techniques. In addition, the frequency information of, say, a particular RLC circuit can give you valuable information as to what the circuit does to a particular signal. For example, you may want to construct a low-pass filter, so you'd need to know that the poles of the transfer function of the circuit (in the frequency domain) are in a certain location. Thus, you're going to have to work in the frequency domain to solve a lot of design problems like that.

    Experience will let you know what problems you can solve using transform techniques and what problems you can't. Generally, nonlinear problems do not succumb to transform techniques (some exceptions are certain nonlinear PDE's that you can solve using the Inverse Scattering Transform method, but that's not likely something you'll encounter unless you get into nonlinear fiber optics and solitons).
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 5
    Last Post: March 22nd 2014, 04:53 PM
  2. Replies: 2
    Last Post: November 7th 2011, 03:04 AM
  3. Laplace transform integral problem
    Posted in the Calculus Forum
    Replies: 0
    Last Post: November 29th 2009, 01:21 PM
  4. Laplace Transform of Integral
    Posted in the Differential Equations Forum
    Replies: 2
    Last Post: October 7th 2009, 07:08 PM
  5. Double integral coordinate transform
    Posted in the Calculus Forum
    Replies: 0
    Last Post: August 1st 2007, 11:38 AM

Search Tags


/mathhelpforum @mathhelpforum