Transfroms Why are there So many of them

Jeffrey Arulraj

Jeffrey Arulraj

@jeffrey-xA7lUP • Oct 25, 2024
Why in the world are we having so many transforms to map a signal in time domain into frequency domain

We have Fourier series, the Laplace transform, The fourier transform for the continuous signals alone and the Z transform and DFT for the Discrete signals

And not to forget series expansions in many names as well

WHy are we having so many of them any advantage of one over the other
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  • Kaustubh Katdare

    Kaustubh Katdare

    @thebigk • Aug 5, 2013

    😨
    0
  • Jeffrey Arulraj

    Jeffrey Arulraj

    @jeffrey-xA7lUP • Aug 5, 2013

    Kaustubh Katdare
    😨
    Well strange expression sir this is not chillax Why is so many transform there in signal processing ?
    0
  • Anil Jain

    Anil Jain

    @CrazyBoy • Aug 5, 2013

    Conqueror
    Well strange expression sir this is not chillax Why is so many transform there in signal processing ?

    Probably he is as confuse as I am.
    Just a suggestion,

    After typing your post, you should read it once just to make sure that others will be able to understand what do you want to convey, right?

    -CB
    0
  • Ahsanul haque

    Ahsanul haque

    @ahsanul-haque-2o7iUb • Aug 5, 2013

    We are Ideal Follower of them...
    0
  • Anand Tamariya

    Anand Tamariya

    @anand-tamariya-DnfjEX • Aug 5, 2013

    Beauty of these Mathematical expressions is that they convert complex problems into simpler ones which can be solved easily. e.g. Fourier transform converts a time domain problem to frequency domain problem.

    Now as much as we can understand the term continuous, for any practical application we need to break it down to discrete values which can be handled by computing machines. e.g. integral is a sum of series of discrete values with number of terms tending to infinity. Similarly, DFT/FFT is for Fourier transform and Z-transform is for Laplace transform.
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  • Halil Alper ONAY

    Halil Alper ONAY

    @halil-alper-onay-zwLtYk • Sep 2, 2013

    I agree with Anand. As an example, if you want to multiply two signal in time domain,it is too difficult. However, if you do that in laplace domain it is much more easier. At the end, transforms exist for easiness.
    0
  • Jeffrey Arulraj

    Jeffrey Arulraj

    @jeffrey-xA7lUP • Sep 5, 2013

    Laplace transform converted the signal to s domain mate and not laplace domain A really nice way to emphasis though

    Multiplication in time domain will result in convolution in frequency domain right

    Halil Alper ONAY
    I agree with Anand. As an example, if you want to multiply two signal in time domain,it is too difficult. However, if you do that in laplace domain it is much more easier. At the end, transforms exist for easiness.
    0