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Basics of digital signal processing.

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In this document I have shared the most basics and fundamental theory for digital signal processing . topics - basics of discrete time signals ,characterstics of DT signals,properties of DT signals ,mathematical analysis of LTI system ,Z-transfrom.

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  • September 11, 2022
  • 11
  • 2022/2023
  • Class notes
  • Dr.shalini singh
  • All classes
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IDISCRETE -TIME SIGNALS ASY5J
Di's cutu m Sianal Cn) a tum thom o am Undupandent
vwubl thot i




tuwo 8vtcesive sampe
Cnstamts b/w
) n) is not desned at
thou a n
estd, h abovz 9P0-pura nepnesenkuhon
Myen elu'sout - ' m S nal
oth

for n
)Funh onal epntsenkahon, fer m 2
else heye


2)Tabuwlar uptesertation , n 2 o 2 3

n 2




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zln) = --.. O,o, 1, 4, , 0,0 s
(n=o)Tnn Sequnu

ln) ,i 3, s,6
n-o (A' Seqwne)


Elementary Disoute
Tme Snds
It i denoted y SCn) and is defnid a
) Unt+ Samp Sea unu -
Stn) 1 for neo
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a
denoted by uln) and dekind
)Onit Step Signal- Tt i

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On amp ánal:- It denoted 6q uylh) and defthud as


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tor no

, h f om
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Signal; T sequun I a
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os Gn + jsinOn)
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L
sin
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it mplitudk
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xin)
Power Signals The energy E ota signal
Enegy and
s deptrud as


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Compltx vaud nal s J.


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that have tnexgy hawL n r e NUe pau)
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and 4 i c a l tulated a

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finte i'nterval N s n<N
we dekna xLn) ovt
fhem
E ktn)| 2
n=-


Av. po wey im1 xEN

Clear y, t ¬ is k fpo].On h 0they han E
dh powey PP 6e ethtv nee o

i'n ( t Ton-wvo) th nal i tolled Power S no

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