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Deconvolution

Able · 2009-10-02 14:54:43

Hi I have a covolution of two functions, say f*g, and I want to recover f. By the convolution theorem F(f*g)= const F(f)F(g) where F denotes fourier transform. Is there anything fundamentally wrong with applying an inverse fourier transform and writing f=invF[constF(f*g)/F(g)]?? Thanks Willing and

02-10-2009 2:54pm

#1

Able

Closed Accounts Posts: 12 ✭

Join Date: June 2007

Posts: 9

Hi

I have a covolution of two functions, say f*g, and I want to recover f. By the convolution theorem F(f*g)= const F(f)F(g) where F denotes fourier transform.

Is there anything fundamentally wrong with applying an inverse fourier transform and writing f=invF[constF(f*g)/F(g)]??

Thanks

Willing and

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Comments

#2 07-10-2009 2:45pm

Michael Collins

Moderators, Science, Health & Environment Moderators Posts: 1,852 Mod ✭✭✭✭

Join Date: July 2001

Posts: 1736

Looks good up to a constant factor at least.

f = invF[F(f*g)/(const.F(g))]

should be the original function f exactly.

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