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    laplace from frequency dependant expression

    Hi, i have this expression representing a frequency dependant power loss:
    a=0.6265
    b=2.24
    c=1.41
    Bpk=0.3 Kgauss
    f=frequency

    Ploss=a*Bpk^b*f^c

    is it possible to obtain a laplace transform of Ploss (transfer function of s)?

    Let me know

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    Re: laplace from frequency dependant expression

    Laplace transforms are for linear functions. Your exponential function is not linear.

    Ratch
    Hopelessly Pedantic



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    Re: laplace from frequency dependant expression

    As long as your function meets Dirichlet conditions and is majorized by an exponential function, it has a Laplace transform.

    However, usually we are transforming time-domain functions to s-domain (which is a generalization of frequency to a complex surface), so frankly speaking I don't understand why you would like to transform frequency-dependent function into s-domain. Especially, while supposing the time domain primary function has a right-sided complex Fourier representation, and this representation is in fact your function, the s-domain representation would be the same with s instead of f.



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    Re: Laplace from a frequency dependent expression

    What would be the physical meaning of Laplace transform of frequency-dependent power loss function?



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    Re: Laplace from a frequency dependent expression

    You didn't observe the hint by Ratch. The magnitude term B^c is nonlinear and has no inverse Laplace transformation, except for the trivial case c=1. Even then I don't see a particular physical meaning.



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