Example: biology
Fourier Transform Theorems Addition Theorem Shift Theorem ...

Fourier Transform Theorems Addition Theorem Shift Theorem ...

Back to document page

Shift Theorem F {f(t −t0)}(s) =e−j2πst0F(s) Proof: F {f(t −t0)}(s) = Z ∞ −∞ f(t −t0)e−j2πstdt Multiplying the r.h.s. by ej2πst0e−j2πst0 =1 yields: F {f(t −t0)}(s) Z ∞ −∞ f(t −t0)e−j2πstej2πst0e−j2πst0dt = e−j2πst0 Z ∞ −∞ f(t −t0)e−j2πs(t−t0)dt. Substituting u =t −t0 and du =dt yields: F {f(t −t0)}(s) = e−j2πst0 Z ∞

Download Fourier Transform Theorems Addition Theorem Shift Theorem ...


Information

Domain:

Source:

Link to this page:

Please notify us if you found a problem with this document:

Other abuse

Advertisement

Related search queries