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 Posted: Fri Jan 16, 2009 12:35 am |
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Guest
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I have been trying to solve fourier transform of cos(f(t)^n)...where f
(t) is any random function.I require an answer in terms of fourier
transform of f(t)... Thanks. |
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| G. A. Edgar... |
| Posted: Fri Jan 16, 2009 8:44 am |
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Guest
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In article
<971f3727-0a3d-4236-a459-30a4b0976d04 at (no spam) z28g2000prd.googlegroups.com>,
<gaurav.save04 at (no spam) gmail.com> wrote:
[quote:bd67284641]I have been trying to solve fourier transform of cos(f(t)^n)...where f
(t) is any random function.I require an answer in terms of fourier
transform of f(t)... Thanks.
[/quote:bd67284641]
Let F be Fourier transform, and G the inverse Fourier transform.
Your answer is F(cos(G(g)^n)) , where g=F(f) ... since this is
nonlinear, you will probably find nothing better than this.
--
G. A. Edgar http://www.math.ohio-state.edu/~edgar/ |
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| Posted: Sat Jan 24, 2009 3:47 am |
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Guest
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On Jan 16, 5:44 pm, "G. A. Edgar" <ed... at (no spam) math.ohio-state.edu.invalid>
wrote:
[quote:ae20c8bdd2]In article
971f3727-0a3d-4236-a459-30a4b0976... at (no spam) z28g2000prd.googlegroups.com>,
gaurav.sav... at (no spam) gmail.com> wrote:
I have been trying to solve fourier transform of cos(f(t)^n)...where f
(t) is any random function.I require an answer in terms of fourier
transform of f(t)... Thanks.
Let F be Fourier transform, and G the inverse Fourier transform.
Your answer is F(cos(G(g)^n)) , where g=F(f) ... since this is
nonlinear, you will probably find nothing better than this.
--
G. A. Edgar http://www.math.ohio-state.edu/~edgar/
[/quote:ae20c8bdd2]
Thank you sir. Can you tell me the fourier transform of f(t)^n. (F(f(t)
^n)) in terms of F(f(t)). where f(t) is any random function. |
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