Differentiating Signum function with Fourier

Discussion in 'Math' started by Simon25176, Dec 10, 2008.

  1. Simon25176

    Thread Starter New Member

    Dec 10, 2008
    1
    0
    Hi Guys,

    I know that d/dx (sgn(t)) = 2*d(t)

    But how can you use Fourier transforms and its' properties to get this answer?

    If anyone can point me in the right direction it would be appreciated!

    Thanks,

    Simon
     
  2. mik3

    Senior Member

    Feb 4, 2008
    4,846
    63
    Convert d/dx (sgn(t)) into fourier, make the appropriate simplifications and convert it back to time domain by making the inverse fourier transform (it is easier by manipulate the fourier terms into partial fractions and then get tge inverse fourier transform easily).
     
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