






Study with the several resources on Docsity
Earn points by helping other students or get them with a premium plan
Prepare for your exams
Study with the several resources on Docsity
Earn points to download
Earn points by helping other students or get them with a premium plan
Community
Ask the community for help and clear up your study doubts
Discover the best universities in your country according to Docsity users
Free resources
Download our free guides on studying techniques, anxiety management strategies, and thesis advice from Docsity tutors
This document delves into the mathematical analysis of periodic signals using fourier series. it presents formulas and equations related to fourier coefficients and their applications in signal processing. while it offers a glimpse into signal decomposition, the lack of context and practical examples limits its educational value.
Typology: Lecture notes
1 / 10
This page cannot be seen from the preview
Don't miss anything!
UNTT Impulse gusponse^ of^ tem^ (ihea^ 42me^ -
fon Same Syotem
K=
thiehic^ Es^ called^ npul^ se^ e^ ponse.
on voluitog sum:
vaiant system
Ealn) *hcn)
JEven Eopetnput acn)
Ún) ard co) both ae CauSal
Oebesue Coouoludion Gf Sum of he -folla
nCn) *h)
Note
(^333) 2 2
YCo) 2cn) *hcn)
( 6
n’No. of
2 2
3 2
y (s4u), (a4h43), +$t942), (u+ 6+)
, (^) , (^) I1, (^20) ,t6, (^) 7,2)
Samples befene Sample value at (^) no (^) -fn (^) gEven (^) stgnal (^) aen)
h (^) no. of (^) sampleg (^) before (^) sample af (^) n=o (^) fen (^) geen (^) eqnal (^) hen).
Sample vaue
n=tO |) Co) , I7, 20,'
W 2
Psrobler, hd the toino rome f Fous es Cesle, fn 4he the
i: angulaav tsequeny
Ohese
-U-
bn a 2
Fiqune' Thiqnome4n e (^) Fcen es (^) sees (^) eapressedn of
2
At)
gavern (^) slqgnal (^) Ct) (^) Can be (^) expre (^) ssed (^) as )= (^) ,t & (^) (an (^) CotoÐ+bn (^) sio(no)
T-usec
(act) s (^) Cneo) dt
T
the 2T
an 2
feven sgna^ Tu^ sec 2
3
tad Sec
as t^ -o)+^ (-g-c)+Cur3)] t1t-2t1]
act). Ct (nut) tt a). Cos^ Chut)^ dt
3
3
3
3
an
bn bn
bn
bh
bn
n 32nT)-2 sân(
3T Soa alNettues even
(-2-
nTT4fo^ h=l,^ S,^ 4,^ 13,
2
values of n'
3x3T
n3, 7,^ y^ 1S,
) sin^ Cnot)^ dt
nw
sâo Cnot) dot
act) sên^ Crot)^ +^ a)^ sin^ Crcot)
sn Cnat)+)sên^ Cnat) C) sio Cmot)
bn bn
b
2n
b
b
for n 2
2n
2
2
2
2 2 30
bo o^ fn^ al^ values^ of^ n'
2
2
2
Noker f (^) hyany^ sgnal^ act)^ Sgmmetle^ about
Cbn) ett be Come Ze9o.
Note
Erame,
|tEme aÃs hen foues Co-effictents a,' an oI be come 2e A0.