fourier transformation, Lecture notes of Engineering

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MITTE 15

ouin thames{dim T ea

FLcz] = czdx

-Ql e

k T -X

FL4cx

e ar etrz ea F e

Ca +i T di t e

-Ca - )x d

FLAc]

atat^ )^

+C)x -1 e ati

CO-L)X

-C)k

a-CK

a-cx)

F[4cij- o-0 - (^) +O-O

o + (a-)

(a-i)a

NNITTE

DUCATOH TRUBT Ca)

(a-ix) Cai

(a-)

(at

Jouu' CO6tme^ oime

el cx) be^

a umch'^ tme^ d

,

COSch Owu' thCmsen o

lamo le^ cl^ as

dufimad

14 F4Cx=Fe Cx) Cmy ens Johu'n COScne

htns d a Fx) CO6xx d

FouLhun w^ thams4dim ° ) o

FL4C

=FaCx)

NNITTEtDUCATION TRUST 18

Obtawm Jounien^ Codin^

donitnousghm

FeCHc

coGrdi t(-T)c06<^ c^

da+o

-7) 6inex

Si o + COS CO^ S00- Sing -

COs +COS ,

CO t2COS{- F[A

FCx

C oT C)^ Sinq da

Sin di +^ (-2) Sn«x^ dz

Fpr)aSinXx 19

• ( -COs«*

Co6 o+m.-0+0+ CO

Sn 3 +Sin

Falt)

Sin -Sina Fs)

ax

Fimd COsime^ t^

ml tnams^ {ölam o

|FL4) 4* cooe

coo

COS da

Cw to: ' a

Fe Ltri)=^

e (^) Cos (^) dr

-Sin) Z dx

a7 a sin«x-&COSSA

a

• )-E(o-«)

TE 21 Jouue costme bhomsfin q CAION TRUST

4Fcmd

O4IL

H-DC O

FeLtc] 4ca) Cos«*dz

L4 cos^ 4edz^ +^ 4-) (^) Cos«crd ind -"(--COS (^) + (4-) Si« - (-)(- L (^) 6ind-o (^) HCoS (^4) CosO (^) O (^3) Sind - Cos (^4) COS 6in 5C0S

• Co

npen (^) y. (^) F.[z4ca) -Fs (^) L4ca) FoFs^ Czfa) -d (^) FeL (^) 4ca