fix Flw eiw dw fixyucl18/241fall2019/notes/241... · 2019-12-09 · Ut KUxx U CX 07 fix It K Ciw uh...
Transcript of fix Flw eiw dw fixyucl18/241fall2019/notes/241... · 2019-12-09 · Ut KUxx U CX 07 fix It K Ciw uh...
![Page 1: fix Flw eiw dw fixyucl18/241fall2019/notes/241... · 2019-12-09 · Ut KUxx U CX 07 fix It K Ciw uh I e Kwtccw t o un few aw _few a e kit few ulx.tl fix IFT of e Kt ht fix Fife Ect](https://reader034.fdocuments.us/reader034/viewer/2022042300/5ecba10d9f9a2d783f193642/html5/thumbnails/1.jpg)
Fourier Transform fix
Flw fix e dw
fix ft Flw eiw dw
fix Flw
f ex iwftws
fig f f
f g f ftp.gix x ldx
f'T fix E
glxydxfixkedkflh yf.ae WYK
Ftpe 141 e su
![Page 2: fix Flw eiw dw fixyucl18/241fall2019/notes/241... · 2019-12-09 · Ut KUxx U CX 07 fix It K Ciw uh I e Kwtccw t o un few aw _few a e kit few ulx.tl fix IFT of e Kt ht fix Fife Ect](https://reader034.fdocuments.us/reader034/viewer/2022042300/5ecba10d9f9a2d783f193642/html5/thumbnails/2.jpg)
Ut KUxx U CX 07 fix
It K Ciw uh
I e Kwtccw
t o un few aw _fewa e kit fewulx.tl fix IFT of
e Kt ht
fix FifeEct
I Fifa.i I
![Page 3: fix Flw eiw dw fixyucl18/241fall2019/notes/241... · 2019-12-09 · Ut KUxx U CX 07 fix It K Ciw uh I e Kwtccw t o un few aw _few a e kit few ulx.tl fix IFT of e Kt ht fix Fife Ect](https://reader034.fdocuments.us/reader034/viewer/2022042300/5ecba10d9f9a2d783f193642/html5/thumbnails/3.jpg)
Wave equation
UH EUxxU IX o fixUH x 01 0
It H iw d du un
I b'Kurt Afw
1 sin cut 131W
I 1W o Flw Acw fewVfw o O Btw o
Uix t f IFTfSkip this part
i iriiTim
L
![Page 4: fix Flw eiw dw fixyucl18/241fall2019/notes/241... · 2019-12-09 · Ut KUxx U CX 07 fix It K Ciw uh I e Kwtccw t o un few aw _few a e kit few ulx.tl fix IFT of e Kt ht fix Fife Ect](https://reader034.fdocuments.us/reader034/viewer/2022042300/5ecba10d9f9a2d783f193642/html5/thumbnails/4.jpg)
fi
ii
U UN't flu assert
ei wi
d w
ft Fay te t
ei
aw
If Fay e 4xtatdue
If few e witaw
![Page 5: fix Flw eiw dw fixyucl18/241fall2019/notes/241... · 2019-12-09 · Ut KUxx U CX 07 fix It K Ciw uh I e Kwtccw t o un few aw _few a e kit few ulx.tl fix IFT of e Kt ht fix Fife Ect](https://reader034.fdocuments.us/reader034/viewer/2022042300/5ecba10d9f9a2d783f193642/html5/thumbnails/5.jpg)
x 14 7 t fix it
when there this IFT of us sin
Try to apply direct formula
Ex
Ut CUx
UH o fix
It tiew un
u eiet few
UH.tt ft ftp.e icwt.e iwxdw
ft ftp.e iwtxtctsdw
fix 14
![Page 6: fix Flw eiw dw fixyucl18/241fall2019/notes/241... · 2019-12-09 · Ut KUxx U CX 07 fix It K Ciw uh I e Kwtccw t o un few aw _few a e kit few ulx.tl fix IFT of e Kt ht fix Fife Ect](https://reader034.fdocuments.us/reader034/viewer/2022042300/5ecba10d9f9a2d783f193642/html5/thumbnails/6.jpg)
Laplace equation
Oh o
ucx.es fixlimU ix y
O
4
IV g I jungle'm'd
liwiutuyy o.uyy w.cit
U Alu e'T 1,31W e WY
Acute if woo
1 CW 0 if Wco
![Page 7: fix Flw eiw dw fixyucl18/241fall2019/notes/241... · 2019-12-09 · Ut KUxx U CX 07 fix It K Ciw uh I e Kwtccw t o un few aw _few a e kit few ulx.tl fix IFT of e Kt ht fix Fife Ect](https://reader034.fdocuments.us/reader034/viewer/2022042300/5ecba10d9f9a2d783f193642/html5/thumbnails/7.jpg)
I Any e MY
I fax e MyTl
UN y fix IFT of e MY
JI eMY e
indw
J'T ehey
ein
a w
f ewte
du
Fix fix 5uix.gl I t T
y di
![Page 8: fix Flw eiw dw fixyucl18/241fall2019/notes/241... · 2019-12-09 · Ut KUxx U CX 07 fix It K Ciw uh I e Kwtccw t o un few aw _few a e kit few ulx.tl fix IFT of e Kt ht fix Fife Ect](https://reader034.fdocuments.us/reader034/viewer/2022042300/5ecba10d9f9a2d783f193642/html5/thumbnails/8.jpg)
Convolution Theorem
Ww flw Jew
Then hix
III fusein
an
f'T fix ein di gin eindu
f fix lgaxe iwx.eduat
ta f fx 7 gl sd
f g
![Page 9: fix Flw eiw dw fixyucl18/241fall2019/notes/241... · 2019-12-09 · Ut KUxx U CX 07 fix It K Ciw uh I e Kwtccw t o un few aw _few a e kit few ulx.tl fix IFT of e Kt ht fix Fife Ect](https://reader034.fdocuments.us/reader034/viewer/2022042300/5ecba10d9f9a2d783f193642/html5/thumbnails/9.jpg)
Fourier transform of Gaussian
pmgun e
glx J e N ewdw
doth I e iw e Me Haw
f nideTw 2pm e In
II fd e I e im.nu
zip I e me ix
e iwxdw
Ip e hi e ixw
x
Jp 9 t
![Page 10: fix Flw eiw dw fixyucl18/241fall2019/notes/241... · 2019-12-09 · Ut KUxx U CX 07 fix It K Ciw uh I e Kwtccw t o un few aw _few a e kit few ulx.tl fix IFT of e Kt ht fix Fife Ect](https://reader034.fdocuments.us/reader034/viewer/2022042300/5ecba10d9f9a2d783f193642/html5/thumbnails/10.jpg)
se guk e 1 c
guk c f e Mdws rew
tr f e as
FTTe
se g x ftp.e E