231-Ολοκληρωτικά υπόλοιπα κλπ
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231-Ολοκληρωτικά υπόλοιπα κλπ
Transcript of 231-Ολοκληρωτικά υπόλοιπα κλπ
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134 3 3
III { : 2 | | }A z z R= < <
. 3.3 R0 0 R , Laurent .
3.5 Z
3.1, z -- . (3.4),
r z R< < R
r (iii) . Laurent X(z) Laurent, , , - .
. (3.4) (z),
R z R< < R (3.7)
R X(z). , r = R, X(z) , - . 3.2, . 3.2 , -.
, x(nT) X(z) - Laurent X(z) . 3.4. - Laurent . (3.6),
11( ) ( )2
nx nT X z z dzj
= !
-
135 O O ZZ
- X(z)zn-1. H . (3.6) z.
Fourier, z -
. , . (3.6)
. , z . (3.3) . (3.6) - (. . .7).
(3.8)
1[ ( ) ]i
nz pes X z z
X(z)zn-1
pi. P X(z)zn-1. mi
11 1
1
1( ) lim ( ) ( )
( 1)!
i
i
iii
mmn n
imz pz pi
des X z z z p X z z
m dz
= =
(3.9)
3.4 z.
z
R1R
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136 3 3
1 1( ) lim ( ) ( )i
i
n nz p iz p
es X z z z p X z z = = (3.9)
0! = 1. pi 1 (z pi) X(z)zn1 - pi.
- . 3.8.
3.6
z .
( ) ( )x nT X z=Z 1 1( ) ( )x nT X z=Z 2 2( ) ( )x nT X z=Z
a, b, w -.
z - z . (3.1).
3.3
. 3.5.
3.4 m
