ASN6c fixing: Difference between revisions

Revision as of 22:31, 13 December 2009

This Fourier Transform property says $s(0)$ transforms to $\int _{-\infty }^{\infty }S(f)df$

$s(0)=S(f)|_{f=0}=[\int _{-\infty }^{\infty }s(t)e^{-j2\pi ft}dt]|_{f=0}=\int _{-\infty }^{\infty }s(t)dt$

And $\int _{-\infty }^{\infty }s(t)dt$ in time transforms in frequency to $\int _{-\infty }^{\infty }S(f)df$

The result is $s(0)\!$ transforms to $\int _{-\infty }^{\infty }S(f)df$

Revision as of 22:31, 13 December 2009 (view source) Jodi.Hodge (talk \| contribs) No edit summary ← Older edit		Revision as of 22:31, 13 December 2009 (view source) Jodi.Hodge (talk \| contribs) No edit summary Newer edit →
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	And <math> \int_{-\infty}^{\infty} s(t) dt</math> in time transforms in frequency to <math>\int_{-\infty}^{\infty} S(f) df</math>		And <math> \int_{-\infty}^{\infty} s(t) dt</math> in time transforms in frequency to <math>\int_{-\infty}^{\infty} S(f) df</math>

	The result is <math>s(0)</math> transforms to <math>\int_{-\infty}^{\infty} S(f) df</math>		The result is <math>s(0)\!</math> transforms to <math>\int_{-\infty}^{\infty} S(f) df</math>