метода цос
.pdf
|
! |
! |
! |
! |
y(n) $ x(n)H (e j3 ) $ Cx e jKx (3) A(3)e jK(3) $ |
||||
! |
! ! |
|
jKy (3) |
(1.68) |
jBKx (3)#K(3)C |
$ C y e |
, |
||
$ Cx A(3)e |
|
|
1+)-': (<$'-$+, .+1 *$:)2"? #: )1,0<$)(#&% >:*,1#".$()"% (">#:< $(+= +19$ )1,0<$)(#&% >:*,1#".$()"% (">#:< +1% 9$ .:(+1+&, .+1 " 81;'$%(+8"$, #1 ( .:(+1+#1-;:8"(",&," :,0<"+-'1%
C y $ Cx A(3)
" C:;1%
K y (3) $ Kx (3) # K(3) .
3101(+:8"8 8&*:9$#"? '<? *$:)2"" (1.68) " 81;'$%(+8"? (1.63), ':- '", 10*$'$<$#"? EPN " LPN.
'<=#%164$"-,&01"1$"/ *&3&51.3%01%5"/ O>/ A(3) 23F$-
(3.=<9 B3<='=239 F3(0<05'<=- '=2'P.209 35@40=7;$ +.3&800 & 35@40=7;. ;0<&+.=2'1' 13+5'20B.<&'1' ('F;.:<=(09 ( 7<=32'(0(- P.5<9 +.%05.:
C y |
|
C |
|
! |
|
! |
|
x |
A(3) |
|
|||
|
$ |
|
|
$ |
A(3) . |
|
Cx |
|
Cx |
||||
|
|
|
|
C&;",&01"1$"/ *&3&51.3%01%5"/ O>/ K(3) 23F$(3.=<9
B3<='=239 F3(0<05'<=- +3F2'<=0 63F +.3&800 0 ;0<&+.=2'1' 13+- 5'20B.<&'1' ('F;.:<=(09 ( 7<=32'(0(P.5<9 +.%05.:
K y (3) ) Kx (3) $ BKx (3) # K(3)C) Kx (3) $ K(3) .
!+9;8 ,&01"1$"/ *&3&51.3%01%5% 0 =.3.4&1",$"/ :6$52%./
3*:8#", 0$*$':+1.#-A C-#)2"A (1.42) ( .:(+1+#1% @:*:)+$*"- (+")1% (1.62), 8;:",1(8?;= )1+1*&@ 1.$8"'#::
|
|
|
|
! |
|
H (z) |
|
z$e |
j3! |
$ H (e j3 ) , |
(1.69) |
|
|||||
|
|
|
|
|
|
|
|
|
|
|
|
+. $. PN H (e j3! ) (180:':$+ ( 4L H (z) , $(<" 1/<:(+= ;#:.$#"% 0$- *$,$##1% z #: )1,0<$)(#1% z-0<1()1(+" 1>*:#".$#: +1.):," #:
$'"#".#1% 1)*-9#1(+" e j3! .
Q+1 01;81<?$+ 0*" ";8$(+#1% 0$*$':+1.#1% C-#)2"" 0-+$, 01'-
(+:#18)" z $ e j3! 3(='53=0B.<&0 01<-.:+= .:(+1+#-A @:*:)+$*"- (+")-, : 1+ ";8$(+#&@ (11+#1O$#"% 8@1'/8&@1' (1.44), (1.45:) 8 z- 1/<:(+":
41
Y (z) $ H (z) X (z) ;
N)1
,bi z )i
Y (z) $ |
i$0 |
|
|
X (z) |
|
|
|||
M )1 |
|
|
|
|
|||||
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 # , ak z )k |
|
|
|
||
|
|
|
|
k $1 |
|
|
|
|
|
:8+1,:+".$()" 0$*$%+" ) (11+8$+(+8-AS", (11+#1O$#"?, 8 B3<- |
|||||||||
='=2': ',43<=0: |
|
! |
|
! |
|
! |
|
|
|
|
|
|
|
|
|
||||
|
Y (e j3 ) $ H (e j3 ) X (e j3 ) ; |
|
|
||||||
|
|
|
|
N )1 |
! |
|
|
|
|
|
! |
|
|
,bi e) ji3 |
|
! |
|
||
Y (e |
j3 |
) $ |
|
i$0 |
|
|
X (e |
j3 |
) , |
|
|
M )1 |
! |
|
|
||||
|
|
1 # , ak e) jk3 |
|
|
|
||||
>'$ |
|
|
|
k $1 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
! |
|
|
|
|
! |
|
|
|
|
X (e j3 ) $ X (e j3T ) ; Y (e j3 ) $ Y (e j3T )
–C-*=$-";1/*:9$#"? 81;'$%(+8"? " *$:)2"" (11+8$+(+8$##1.
J:1(#18:#"" R+1>1 B3<='=27A H3+3&=.+0<=0&7 ,19#1 10*$- '$<"+= ):) 1+#1O$#"$ C-*=$-";1/*:9$#"% *$:)2"" " 81;'$%(+8"? 0*" #-<$8&@ #:.:<=#&@ -(<18"?@, 01'1/#1 0$*$':+1.#1% C-#)2""
(1.45) 0*" 01'(+:#18)$ z $ e j3! :
|
|
|
|
|
|
! |
|
|
! |
Y (z) |
|
|
Y (e |
j3 |
|||
H (e j3 ) $ |
$ |
! ) |
. |
|||||
X (z) z$e j3 |
|
|||||||
|
|
X (e j3 ) |
||||||
|
|
! |
|
|
|
|
||
|
|
|
|
|
|
|
|
1.5.2.%50:-04. 5-:358-< K<58:804T T<7<68.715816
1.PN H (e j3T ) , EPN A(3) " LPN K(3) – 2.@+.+$(2$. C-#)- 2"" .:(+1+& 01 10*$'$<$#"A.
2.PN H (e j3T ) , EPN A(3) " LPN K(3) – @.+0';0B.<&0. C-#)-
2"" .:(+1+& ( 0$*"1'1,, *:8#&, .:(+1+$ '"()*$+";:2""
3' $ 2T2 .
G1):;:+$<=(+81 0$*"1'".#1(+" C-#)2"% (<$'-$+ "; +1>1, .+1 "@ :*>-,$#+ e j3T – 0$*"1'".$():? C-#)2"? .:(+1+& ( 0$*"1'1, 2T2
42
e j3T $ e j(3L |
22k |
)T $ e j3T e j22k . e j3T . |
T |
D;:8"(",1(+" 1+ "(01<=;-$,1% O):<& .:(+1+ 0$*"1' PN, EPN
"LPN *:8$#
f 4 f' ; |
(1.70) |
3 4 3' ; |
(1.71) |
3 4 22 . |
(1.72) |
Z(<" )1RCC"2"$#+& 4L 8$S$(+8$##&$ (: '*->"$ #$ *:((,:+*"- 8:A+(?), +1 EPN /-'$+ B.=2':, : LPN – 2.B.=2': C-#)2"$% .:(+1-
+& [1]:
A(3) $ A()3) ;
K(3) $ )K()3) .
J:01,#",, .+1 B.=2': #:;&8:$+(? +:):? C-#)2"?, )1+1*:? #$ ";,$#?$+ (81$>1 ;#:.$#"? 0*" ";,$#$#"" ;#:): 0$*$,$##1%.
Z(<" 9$ 0*" ";,$#$#"" ;#:): 0$*$,$##1% ";,$#?$+(? ;#:) C-#)2"", : $$ :/(1<A+#1$ ;#:.$#"$ (1@*:#?$+(? #$";,$##&,, +1 +:- ):? C-#)2"? #:;&8:$+(? 2.B.=2':.
J: 0*:)+")$ 0*$'(+:8<?A+ "#+$*$( >*:C")" EPN " LPN 8 '<- 2'(2': 01<1($ .:(+1+ ((,. 0. 1.1.2).
1.5.3. '<5K.8 )VP 1 RVP
41<-.", .:(+1+#-A @:*:)+$*"(+")- H (e j3T ) *$':+1.#1% C-#)2"" H (z) 1/S$>1 8"': (1.46)
|
N )1 |
|
|
|
,bi z )i |
|
|
H (z) $ |
i$0 |
. |
|
M )1 |
|||
|
|
||
|
1 # , ak z )k |
|
|
|
k $1 |
|
D&01<#"8 ;:,$#-
z $ e j3T ,
;:0"O$, .:(+1+#-A @:*:)+$*"(+")- 8 8"'$
|
N )1 |
|
H (e j3T ) $ |
,bi e) j(i3T ) |
|
i$0 |
. |
|
M )1 |
||
|
1 # , ak e) j(k3T ) |
|
|
k $1 |
|
01 ";8$(+#1% 0$-
(1.73)
(1.74)
43
B:()*1$, R)(01#$#+& 01 C1*,-<$ Q%<$*:, #:0*",$*, 8 ;#:,$#:+$<$
e) jk3T $ cos(k3T ) ) j sin(k3T ) , |
(1.75) |
01(<$ .$>1 8&'$<", 8$S$(+8$##&$ " ,#",&$ .:(+" 8 ."(<"+$<$ " ;#:,$#:+$<$ (1.74):
H (e j3T ) $ |
Re. # |
j Im. |
, |
(1.76) |
Re; # |
|
|||
|
j Im; |
|
>'$ "#'$)(& «.» " «;» 1;#:.:A+ ."(<"+$<= " ;#:,$#:+$<=. K0*$'$<", ,1'-<= (EPN) " :*>-,$#+ (LPN) .:(+1+#1% @:*:)-
+$*"(+")" H (e j3T ) |
|
|
|
|
|
|
|
|
|
|
A(3) $ H (e j3T ) $ |
Re.2 # Im.2 |
; |
|
|
|
|||||
|
Re; |
2 # Im; |
2 |
|
|
|
|
|||
|
A |
Im |
> |
|
A |
Im |
> |
|||
K(3) $ argEH (e j3T )F$ arctg? |
|
|
. |
< ) arctg? |
|
; |
< . |
|||
|
|
|
|
|
||||||
|
@? |
Re. =< |
|
@? |
Re; =< |
(1.77)
(1.78)
41<-.$##&$ 8&*:9$#"? "(01<=;-A+(? '<? *:(.$+: EPN " LPN 8 '<2'(2': @'4'<. B3<='=.
1.5.4. '<5K.8 )VP 1 RVP E-.0< 2-H: C:7D/6<
41<=;-?(= 10"(:##1% 8&O$ ,$+1'")1%, 10*$'$<", EPN " LPN ;8$#: 2->1 01*?'): 01 $>1 0$*$':+1.#1% C-#)2"" H (z) (1.49):
|
b |
0 |
# b z )1 |
# b |
2 |
z )2 |
|
|||
H (z) $ |
|
1 |
|
|
|
|
. |
|||
1 # a z )1 |
# a |
|
|
|
||||||
|
2 |
z )2 |
|
|||||||
|
|
|
1 |
|
|
|
|
|
D&01<#"8 ;:,$#- 0$*$,$##&@ (1.73) " "(01<=;-? #1*,"*18:#-
#-A .:(+1+- 3 $ 3T , 01<-.", .:(+1+#-A @:*:)+$*"(+")-
B:()*&8
!
H (e j3 )
|
|
|
|
|
! |
|
|
|
! |
|
|
|
|
|
|
! |
b0 # b1e |
) j3 |
# b2e |
) j23 |
|
|
|||
|
|
H (e j3 ) $ |
! |
! |
. |
(1.79) |
||||||
|
|
|
||||||||||
|
|
|
|
1 # a e) j3 |
# a |
2 |
e) j23 |
|
|
|||
|
|
|
1 |
|
|
|
|
|
|
|
||
R)(01#$#+& 01 C1*,-<$ Q%<$*: (1.75) |
|
|
||||||||||
|
b |
# b Bcos(3) ) j sin(3)C# b |
Bcos(23) ) j sin(23)C |
|||||||||
$ |
0 |
1 |
! |
|
! |
|
2 |
! |
! |
|
||
|
|
|
|
|
||||||||
|
1 # a1Bcos(3) ) j sin(23)C# a2 Bcos(3) ) j sin(23)C |
" 8&'$<"8 8$S$(+8$##&$ " ,#",&$ .:(+" (1><:(#1 (1.76), ;:0"O$,
.:(+1+#-A @:*:)+$*"(+")- 8 8"'$
! |
Bb |
# b cos(3) # b |
cos(23)C) jBb sin(3) # b |
sin(23)C |
. (1.80) |
|||||
H (e j3 ) $ |
0 |
1 |
! |
2 |
! |
1 |
! |
2 |
! |
|
|
B1 # a1 cos(3) |
# a2 cos(23)C) jBa1 sin(3) # a2 sin(23)C |
|
|||||||
44 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
! |
|
|
|
|
|
|
|
|
|
|
|
H1'-<= (EPN) ':##1% H (e j3 ) (1><:(#1 (1.77) *:8$# |
|
|||||||||||||||||||
! |
Bb # b |
! |
|
|
|
! |
|
|
|
|
|
! |
|
|
! |
|
||||
cos(3) # b |
|
cos(23)C2 |
# Bb sin(3) # b |
sin(23)C2 |
|
|||||||||||||||
A(3) $ |
0 |
1 |
|
|
|
2 |
|
|
|
|
|
|
1 |
|
|
2 |
,(1.81) |
|||
B1 # a |
|
! |
|
# a |
|
|
! |
|
|
|
|
|
! |
|
|
! |
||||
|
|
cos(3) |
2 |
cos(23)C2 # Ba |
sin(3) # a |
2 |
sin(23)C2 |
|
||||||||||||
|
1 |
|
|
|
|
|
|
|
|
|
|
1 |
|
|
|
|
||||
:*>-,$#+ (LPN) (1><:(#1 (1.78) *:8$# |
|
|
|
|
|
|
|
|
||||||||||||
|
! |
|
|
|
|
a |
|
sin(3) # a |
|
sin(23) |
|
|
|
|
||||||
|
K(3) |
$ arctg |
|
1 |
|
! |
|
|
2 |
|
|
! |
|
) |
|
|
|
|||
|
|
|
|
|
|
|
|
|
|
|
||||||||||
|
|
|
|
1 # a |
|
cos(3) |
# a |
2 |
cos(23) |
. |
|
|
(1.82) |
|||||||
|
|
|
|
|
|
|
1 |
! |
|
|
|
|
! |
|
|
|
||||
|
|
|
|
|
|
b sin(3) # b |
|
sin(23) |
|
|
|
|
||||||||
|
) arctg |
b0 |
1 |
|
|
! |
2 |
|
|
|
|
! |
|
|
|
|
|
|||
|
|
|
|
|
|
|
|
|
|
|
|
|
||||||||
|
|
|
|
# b1 cos(3) # b2 cos(23) |
|
|
|
|
K(1/$##1(+" *:(.$+: 01 ':##&, C1*,-<:, 1/(-9':A+(? #"9$.
1.5.5.W65C7.55-<0<=1E )VP 1 RVP E-.0< 2-H: C:7D/6<
J:0*:)+")$ .:(+1 +*$/-$+(? 12$#"+= EPN " LPN 0*" ,"#",-- ,$ *:(.$+18. 3 R+1% 2$<=A (+*1?+ 0*"/<"9$##&$ >*:C")" *:((,:+- *"8:$,&@ @:*:)+$*"(+") 01 "@ ;#:.$#"?, 8 #$()1<=)"@ +1.):@, )1- <".$(+81 )1+1*&@ '1<9#1 /&+= ,"#",:<=#1 '1(+:+1.#&,. 7:)1% /&(+*&% (01(1/ 12$#)" .:(+1+#&@ @:*:)+$*"(+") #:;&8:$+(? D&<-
@+.<<-32340F'5.
Q)(0*$((-:#:<"; EPN 0*$'01<:>:$+ ;:*:#$$ ";8$(+#&," 1(1- /$##1(+" :#:<";"*-$,1% C-#)2"": ><:')1(+=, )1<".$(+81 R)(+*$,-- ,18, #-<$% " '*.
4*18$'$, R)(0*$((-:#:<"; EPN " LPN ;8$#: 2->1 01*?'):. H$+1':," ,:+$,:+".$()1>1 :#:<";: ,19#1 01):;:+=, .+1 8 1(-
#18#1% 01<1($ .:(+1+ EPN ;8$#: 2->1 01*?'): (1.81):
-",$$+ R)(+*$,-, <"/1 #-<= 23 1+32083H 1(#18#1% 01<1(&, 0*" R+1, #-<= /-'$+ #:",$#=O", ;#:.$#"$,, #1 #$ ,"#",-,1, EPN;
-,19$+ ",$+= 1'"# ,:)(",-, " 1'"# ,"#",-, <"/1 #-<= (27=- +0 1(#18#1% 01<1(&, 0*" R+1, #-<= /-'$+ #:",$#=O", ;#:.$#"$,, #1 #$ ,"#",-,1, EPN.
4*" 1+(-+(+8"" #-<$% EPN 0*$'(+:8<?$+ (1/1% 143;&7A C-#)- 2"A.
3<$'18:+$<=#1, '<? 12$#)" EPN ;8$#: 2->1 01*?'): '1(+:+1.#1 01(+*1"+= $$ >*:C") 01 @9=0 +1.):,:
-'8-, – #: 1+32083H 1(#18#1% 01<1(&,
-1'#1% (-+1.#?AS$%) – @'<.+.;02. 1(#18#1% 01<1(&,
-'8-, – (27=+0 1(#18#1% 01<1(&, (11+8$+(+8-AS", ,:)(",-- ,- " ,"#",-,- (<"/1 #-<A) EPN.
45
41<:>:?, .+1 0$*$':+1.#:? C-#)2"? H (z) (1.49) ;8$#: 2->1 01-
*?'): ";8$(+#:, 01<-.", C1*,-<& R)(0*$((-:#:<";: EPN " LPN 01 (<$'-AS", @9=0 +1.):,
! |
|
2 |
! ! |
|
3 |
$ 0 ; 2; |
2 |
; 3S; 3# |
, |
|
|
|
|
>'$ 3S – .:(+1+:, #: )1+1*1% EPN ",$$+ 53&<0575 (27=+0 1(#18-
#1% 01<1(& (.:(+1+: ,:)(",-,: EPN);
3# – .:(+1+:, #: )1+1*1% EPN ",$$+ 5020575 "<" *:8#: #-<A
(27=+0 1(#18#1% 01<1(& (.:(+1+: ,"#",-,: "<" #-<? EPN). K0*$'$<", ;#:.$#"? EPN " LPN 8 -):;:##&@ 0?+" +1.):@: 1) 8 +1.)$ 3 $ 0 (*"(. 1.15)
1+)-': |
z $ e j0 |
$ 1; z )1 |
$ 1 , |
|
|
|
|
|||||||||||||
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
A(0) $ |
|
|
|
H (1) |
|
$ |
|
b0 # b1 # b2 |
|
; |
|
(1.83) |
|||||||
|
|
|
|
|
|
|
|
|||||||||||||
|
|
|
|
|||||||||||||||||
|
|
|
|
|
|
|
|
|
||||||||||||
|
|
|
|
|
|
|
|
|
|
|
1 # a # a |
2 |
|
|
|
|
|
|||
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
||||||
|
|
|
|
|
|
|
|
|
|
|
1 |
|
|
|
|
|
|
|||
|
K(0) $ argEH (1)F $ 0 ; |
|
|
|
|
|
(1.84) |
|||||||||||||
|
|
|
|
|
|
|
|
|
|
|
j Im |
|
|
|
|
|
|
|
||
|
|
|
|
|
|
|
|
|
|
|
j |
|
|
|
|
|
|
|
||
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|||
|
)1 |
|
|
|
|
|
1 |
Re |
|
|
|
|
|
|||||||
|
|
|
|
|
|
|
|
|
|
|
|
|
Z |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
) j |
|
|
|
|
|
|
|
||
|
|
|
|
|
|
|
|
|
|
|
|
" z $ 1 |
||||||||
B"(. 1.15. 311+8$+(+8"$ ;#:.$#"% 3 |
$ 0 |
|||||||||||||||||||
2) 8 +1.)$ 3 |
$ 2 (*"(. 1.16) |
|
|
|
|
|
|
|
|
|
|
|
||||||||
1+)-': |
z $ e j2 $ )1 ; z )1 |
$ )1 , |
|
|
||||||||||||||||
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
A(2) $ |
|
H ()1) |
|
|
$ |
|
b0 ) b1 # b2 |
|
; |
(1.85) |
|||||||||
|
|
|
|
|
|
|
||||||||||||||
|
|
|
||||||||||||||||||
|
|
|
|
|
|
|
||||||||||||||
|
|
|
|
|
|
|
|
|
|
|
|
|
1 ) a |
# a |
2 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
||||||
|
|
|
|
|
|
|
|
|
|
|
1 |
|
|
|
|
|
|
|||
|
K(2) $ argEH ()1)F$ 0 ; |
|
|
(1.86) |
46
j Im
|
j |
|
|
)1 |
1 |
Re |
|
Z |
) j |
|
|
|
|
|
|
|
|
$ 2 " z $ )1 |
|
B"(. 1.16. 311+8$+(+8"$ ;#:.$#"% 3 |
!2
3)8 +1.)$ 3 $ 2 (*"(. 1.17)
1+)-':
A |
2 > |
$ |
H ( j) $ |
A? |
< |
||
@ |
2 = |
|
|
z $ e j |
2 |
$ j ; z )1 |
|
|
|
|
|
|
|
|
|
|||
2 |
$ ) j , |
|
|
|
|
|
|
|
||||||
(b |
) b |
2 |
) ) jb |
$ |
(b |
) b |
2 |
)2 |
# b |
2 |
; |
(1.87) |
||
0 |
|
|
1 |
0 |
|
|
|
1 |
|
|||||
(1 ) a2 ) ) ja1 |
|
(1 ) a |
2 |
)2 |
# a 2 |
|
|
|||||||
|
|
|
|
|
|
|
|
|
|
1 |
|
|
|
KA |
2 > |
$ argEH |
( j)F |
$ arg' |
(b0 ) b2 ) ) jb1 |
V |
$ |
||||||||||||
< |
|
|
|
|
U |
||||||||||||||
? |
|
|
|
|
|
& |
(1 ) a2 ) ) |
ja1 |
|
||||||||||
@ |
2 = |
|
|
|
|
|
% |
T |
(1.88) |
||||||||||
|
|
A |
a |
|
> |
A |
b |
|
|
|
> |
|
|||||||
|
|
|
|
|
|
|
|
||||||||||||
|
$ arctg? |
|
1 |
|
|
< ) arctg? |
|
1 |
|
|
|
|
< . |
|
|
||||
|
|
|
|
|
|
) b |
|
|
|
|
|
||||||||
|
|
?1 ) a |
2 |
< |
? b |
2 |
< |
|
|
||||||||||
|
|
@ |
|
|
= |
@ |
0 |
|
|
= |
|
|
|||||||
|
|
|
|
|
|
|
|
j Im |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
j |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Z |
|
|
|
|
|
|
|
|
|
|
|
|
|
)1 |
|
|
|
1 |
|
Re |
|
|
|
|
|
|
|
|
|||
|
|
|
|
|
|
|
|
) j |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
! |
|
2 |
|
|
" z $ j |
|||
B"(. 1.17. 311+8$+(+8"$ ;#:.$#"% 3 |
$ |
|
|
|
|
||||||||||||||
2 |
|
|
|||||||||||||||||
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
||
4) +1.): 3 |
$ 3S 10*$'$<?$+ ,$(+101<19$#"$ 53&<05753 EPN, |
)1+1*&% #:@1'"+(? 0*"/<";"+$<=#1 #: .:(+1+$ KS @'4A<3 [1] zS1,2 $ rSeL jKS ;
47
3S [ KS; |
(1.89) |
;#:.$#"$ EPN 8 R+1% +1.)$ 8&."(<?$+(? 01 1/S$% C1*,-<$ (1.81); |
|
5) +1.): 3 $ 3# 10*$'$<?$+ ,$(+101<19$#"$ 50205753 EPN, |
|
)1+1*&% #:@1'"+(? 0*"/<";"+$<=#1 #: .:(+1+$ K# |
2749 0$*$':+1.- |
#1% C-#)2"" 0*" ;#:.$#"" r# ( 1 [1] |
|
z#1,2 $ r#eL jK# ; |
|
3# [ K# , r# ( 1 ; |
(1.90) |
;#:.$#"$ 50205753 EPN 8 +1.)$ 3# 8&."(<?$+(? 01 1/S$% C1*,--
<$ (1.81);
$(<" 8 +1.)$ K# ;#:.$#"$ r# $1, ",$$, #$ ,"#",-,, : 274- EPN " (11+8$+(+8$##1 ():.1) LPN #: 2 .
3+*1>1 >181*?, #: ,$(+101<19$#"$ ,:)(",-,: EPN 8<"?A+ #$ +1<=)1 01<A(&, #1 " #-<", +:) 9$, ):) #: ,$(+101<19$#"$ ,"#",-- ,: EPN 8<"?A+ #$ +1<=)1 #-<", #1 " 01<A(&. 7$, #$ ,$#$$ '1,"#"- *-AS$$ 8<"?#"$ #: ,$(+101<19$#"$ ,:)(",-,: 1):;&8:A+ 01<A(&, : #: ,$(+101<19$#"$ ,"#",-,: – #-<", .+1 " 1+*:9:$+(? (",81<1, 0*"/<";"+$<=#1>1 *:8$#(+8: 8 (1.89)–(1.90) [1].
1.5.6. )0<=1E )VP C: 6<78. 0?=.3 1 C:=@5:-
M:) -9$ >181*"<1(=, ):*+: #-<$% " 01<A(18 ?8<?$+(? 1'#1% "; 8:9#$%O"@ >*:C".$()"@ @:*:)+$*"(+") !G3. 41,",1 12$#)" -(- +1%."81(+" !G3, 1#: 01;81<?$+ 01 *:(01<19$#"A #-<$% " 01<A(18 ('$<:+= 8&81' 1 ):.$(+8$##1, @:*:)+$*$ EPN.
J"9$ (C1*,-<"*18:#& #:"/1<$$ 1/S"$ ;:)1#1,$*#1(+" ):.$- (+8$##1>1 :#:<";: EPN 01 ):*+$ #-<$% " 01<A(18 8 1(#18#1% 01<1- ($ .:(+1+ '<? ;8$#: 2->1 01*?')::
-0$*$':+1.#:? C-#)2"? ;8$#: 2->1 01*?'): ",$$+ '8: )1,- 0<$)(#1-(10*?9$##&@ "<" '8: 8$S$(+8$##&@ @'4A<3, 8 0$*81, (<--
.:$ ,:)(",-, EPN #:@1'"+(? (27=+0 1(#18#1>1 '":0:;1#:, 81 8+1- *1, – #: $>1 >*:#"2:@ ('8: ,:)(",-,:);
-0$*$':+1.#:? C-#)2"? ;8$#: 2->1 01*?'): ",$$+ '8: )1,- 0<$)(#1-(10*?9$##&@ "<" '8: 8$S$(+8$##&@ #-<?, 8 0$*81, (<-.:$ ,"#",-, "<" #-<= EPN #:@1'"+(? 8#-+*" 1(#18#1% 01<1(& .:(+1+, 81 8+1*1, – #: $>1 >*:#"2:@;
48
-*:(01<19$#"$ 274.:, 2. 4.%3E0H #$ $'"#".#1% 1)*-9#1(+", -):;&8:$+ (0*"/<";"+$<=#1) .:(+1+&, #: )1+1*1% EPN ",$$+ 5020-
575$;
-*:(01<19$#"$ 274.:, 4.%3E0H #: $'"#".#1% 1)*-9#1(+", 10-
*$'$<?A+ .:(+1+&, #: )1+1*&@ !SK +3(23 274A, : QSK 05..= <&3B'&
#: 2 ; #-<= EPN ?8<?$+(? #:",$#=O", ;#:.$#"$,, #1 #$ ,"#",-,1,
EPN;
- :/(1<A+#:? 8$<"."#: 01<A(: 8<"?$+ #: )*-+";#- EPN: ( $$ -8$<".$#"$, )*-+";#: EPN 81;*:(+:$+.
1.6. %$*%,M B%$J'%&*+X $J'!#J!'*MP $P&N
3+*-)+-*#:? (@$,: !G3 1+1/*:9:$+ 341'+0=5 8&."(<$#"? *$- :)2"". D1 8*$,$##1% 1/<:(+" (11+#1O$#"$ 8@1'/8&@1' 0*" ";8$(+- #&@ 0:*:,$+*:@ !G3 10"(&8:$+(? *:;#1(+#&, -*:8#$#"$,, *$O$#"$ )1+1*1>1 ,$+1'1, 0*?,1% 01'(+:#18)" 0*" #-<$8&@ #:.:<=#&@ -(- <18"?@ 10"(&8:$+ :<>1*"+, 8&."(<$#"? *$:)2"" ((,. 0. 1.3.2). D R+1, (,&(<$ (+*-)+-*#:? (@$,: !G3 1+1/*:9:$+ +3F2'<=2'. 7+3(-
2.20..
E<>1*"+, 8&."(<$#"? *$:)2"" 01 *:;#1(+#1,- -*:8#$#"A 1(- #18:# #: 8&01<#$#"" =+.H +"018 10$*:2"% ( 1+(.$+:," (">#:<::
-;:'$*9)" #: 0$*"1' '"()*$+";:2"" T ;
--,#19$#"? #: )1#(+:#+-;
-:<>$/*:".$()1>1 (<19$#"?.
J:(+*-)+-*#1% (@$,$ (*"(. 1.18) ", (11+8$+(+8-A+ +*" 8"': R<$,$#+18:
-R<$,$#+ ;:'$*9)" (:);
--,#19"+$<= (/);
-(-,,:+1* (8).
3@$,:+".$()1$ ";1/*:9$#"$ R<$,$#+: ;:'$*9)" 8&+$):$+ "; (1- 1+8$+(+8"? ,$9'- 10"(:#"?," (">#:<: 81 8*$,$##1% 1/<:(+" " 8 z- 1/<:(+", : ",$##1, $(<"
x(n) 4 X (z) ,
+1
x(n )1) 4 X (z)z )1 .
L";".$()" R<$,$#+ ;:'$*9)" 0*$'(+:8<?$+ (1/1% *$>"(+*, @*:- #?S"% ';02 0F 0*$'O$(+8-AS"@ 1+(.$+18 (">#:<:.
49
B"(. 1.18. Q<$,$#+& (+*-)+-*#1% (@$,& !G3
3+*-)+-*#:? (@$,: !G3 ,19$+ /&+= *$:<";18:#: 3@@3+3=2' "<" @+'1+3552'. D 0$*81, (<-.:$ – 8 8"'$ (0$2":<";"*18:##1>1 2"C*181>1 -(+*1%(+8: #: "#+$>*:<=#&@ <1>".$()"@ R<$,$#+:@, 81 8+1*1, – 8 8"'$ @+'1+355$ #: )1,0=A+$*$ "<" 2"C*181, 0*12$((1- *$ 1/*:/1+)" (">#:<18 (T4K3). B:;8"+"$ +$@#1<1>"" T4K3 ('$<:<1 0*1>*:,,#-A *$:<";:2"A 0*$1/<:':AS$% [5, 6].
J"9$ 0*"81'?+(? 0*",$*& 0*1(+$%O"@ @+95$H (+*-)+-* '<?
#$*$)-*("8#&@ " *$)-*("8#&@ ;8$#=$8 2->1 01*?'):. 41'*1/#:? "#- C1*,:2"? 1 *:;#18"'#1(+?@ (+*-)+-* !G3 ':$+(? 8 [1].
B7D9<D 587?68?7< 0.7.6?751-0:H: E-.0< 2-H: C:7D/6<
B"(. 1.19. 4*?,:? (+*-)+-*: #$*$)-*("8#1>1 ;8$#: 2->1 01*?'):
4*?,:? (+*-)+-*: #$*$)-*("8#1>1 ;8$#: 2->1 01*?'): (*"(. 1.19) 1+1/*:9:$+ $>1 *:;#1(+#1$ -*:8#$#"$ (1.20):
50