Vcc ,Vdd
x t( )
j()
X
231648-275419

X(j)
X (k)R
X (k)I
0 0 12 3 45- ’ 2 6 12 3
8 #780 ’ 26 12 3
@ > ?/59 0 : 0 ;<=
2 F9 %F G&D 1 FH 0 EA B& C0 D
2
F9 %F G& D 1 F H 0 EA B& C0 D 7& –
’FI3 F8J FK L= MNF9 F0 58 0 O P6
12 2 9
7& – 2 9 58 0 O P6
’&2 , @ && 7 Q&
% G&D R < 1H
S0 1H
, A A S0 1H
12 2 9 , A A 1H
7& – 2 9 , A A 1H
12 2 9 ’I3 8J %0 A 1H C0 L
7& – 2 9 ’I3 8J %0 A 1H C0 L
12 2 9 ’HA 3 1H
7& – 2 9 ’HA 3 1H
12 2 9 %0 & 1 H C0 L ,LB8
7& – 2 9 %0 & 1H C0 L ,LB8 T80 – E 7D
’@ D6 CL
Csub
C
E f
F
h(t)
H i
I0
Ibias
Iin DC
Iin
Iin
iNL INL
iout
Iout iS
IS
J
j
(
, F@ F5 H 2 kF F@ 1 F 6 . – U Q<D ’I3 8J ’I0 A
2 ’F<8- D 2 U4/F F- ’5F 0 >Q a 0 ’I3 8J
,F A , 8?F- F0 . Q&Q ,2 >86 Q&0 @% G&D
TF ’FI3 F8J F UF85eD ,F0 ’F V ky – LB8
FB& ’FB 2 F9 ’FI3 8J ;K 0-@Q
’0 F 2 zF= 0 QFLL- ’F- { GF0 LB8 ;K 0 A >Q
] F.& , F@- 2 ,QFVD . ’| H = 1 G8 &
@%F G&D sQ8J , @6 8~ D [}#r] ’5<b >Q
’F 0 BJT ’ FB # >2 F9 , F@ 58 H | H = F ? Fu& ’ 2 6 , &2 3 8~ D @ – T . >Q
’FI3 8J F UF85eD B ,L/86 lA . >Q/&
F A ,F u& S0 BJT ’B #>2 9 , @58
2F ’DW 4 , G8& lA T .[] ? ] .&
‘ GF 0 | H = 1 G8 < e , 0 ]2W p0 A 4L 5 H
A [ ] ’ >Q8 86 A 2 8%0 58 @ % G& D QVD W F0 , %& – ,2 8< A ’O o & 1 8 M 3 G8&
M F3 TF ;1 8F WAQ 7 Q& ‘ G 0 A > 0 H D U0 b
_FD 2 >c F MF3 TF ’5FK U= .Q0 ’ ‘ G
. F ’FI3 8J pF0 A 1F- ’FI3 ,0 ’&D ,
FGMOS ’B #>29 ,@58 ,0 AB ,-
, A A ,F &2 3 ’& % F @ & SF0 |FH = U F85eD
R F& TF | FH = F. UF= TF – @% G&D
2 UF85eD lA TF .[] F >Q ] .& QL %@ @58
1 8F WAQ 7 QF& 1F0 ky – 0 58D , _D
. >Q >c
,F0 ’I3 8J U85eD Q QH lA k T
F- lA TF .[] F’F s ’B # >2 9 , @58
F [q#h] ’48&F@ &2 k8L4D , 8?- 0 0 ’L <
1a A >F0 ’F5<b ,F A 0<%& ,- ’?Q886 ,
8%F0 >Q ,2 8< o & A >Q a 0 o & 1 8 M 3 lA ,2 F > F86 . F ’5<b , A 8u& 2 ’F 9 0 – >Q ] .& _5 G ] & 2 > c 0 , L/86
98
UF 9 UF0 b ’48&A4 ;Q 2 >c Q 0 A Q&A
F F0 1 F e FH D QFLL- ’F – , [ 0 0 dDQ = 1 DA NXD E A – 850 b , – %? # / ; Q
C8A ’48L >% ? , A >0 T86 8% 0 ’f
%F? #/F ^ %F8 @ .[h# ] >- _5H QL0 ’
2 F > / <[ k ’I3 8J >Q&2 6 k U > 9 8%F >QFL@ l %? <[ k A , A A LB8 8%
’ B #>2 9 , F@ 58 . ’ HA 3 LB8F , LB8F QF 0 QFLL-’F F- %F? #/F k8L4D S 0 0 ’I3 8J B& k 0 Q& 1 H R & 2 dW V – , A A l2 F6 7mF .Q& ’ U Q<D E A R & 2 > / , LB8 A >Q ] .& E A 2 9 ’I3 8J ; K 0 LB8 T LB8F F0 > / ; K 0 – UK 9 E A LB8 & l2 6 4&a HA 0 T 0 L0 . ’ U Q<D > / 8J 1 H ’FI3 F & H ’HA 3 # , A A I0 ’I3 8J ’&A
MOS , @ % G& D G8& A BJT, @ % G& D .0 Q@ 3 , F4L 0 H D 0 QLL-’ – :Z8VO ’B&A A 89 &
;QF ,F0 ’<FL n F$ & QF& ’& EA # 1H I0
.QL %@ ’B #>2 9
o & 2 > c 0 0 T8 A , 0 ’ B #>2 9 , @ 58 A .[t] QF s qrq G a p D %? #/ K F 58 k A , H 0 >Q S 0 k ’L GB H 0
TF . F F ^8FuLD UF0 b 58 k 0A <D RC
’b F0 ’FI3 ’FHA 3 A , A A , F@E A T8F0 FI0 3 E F A #1 F H ’ FB FI0 , 8? F- F0 F0 ’ A Q& ’ & A , A A , F & H T8F0 FI0 ’HA 3A , A A @ 1 F80 ’FI3 A F<D F 58 kF FI0 ; FK F0 ’HA 3
, F pF D qq ’ B #>2 9 , @ 58 . ’ Q w K A ’L GB H , H 0 A .[v] Q ,Q L<
AF- 1 F80 F 9 , xF F 58 Q 0 H , @58
F0 F 9 , xF ’FB FB& , 8?F- 00 7m
1 =
1cos 0 1tsin 0 1tcos(K1) 0 1tsin(K1) 0 1t 1cos 0 2tsin 0 2tcos(K1) 0 2tsin(K1) 0 2t
1 cos 0t2K1sin 0 2t K1cos(K1) 0 2t K1sin(K1) 0 2t K1
( )
: & 2 ;K 0 AK3 [ 0 Q&D’ ( ) V

2743221324

50139621324

x = 1 X(h)
237439235341

K# , F0 %F%? 1 2 2 9 LB8 0 x 1a n F$ & F 6 kF ,A % UK 0 – ’& 2 & &
:Q& >Q
274329112

x =[x(t1) x(t2)x(t2K 1)]T(t)
270357635184

K ,FF0 %FF%? 7& FF- 2 FF9 LB8FF FF0 X A
LB8 7& – 2 ’e8eK n x ’B @ – k8&@
:Q& 12a , A A
3810315279

X X 0 X 1 X 1= R ( )R ( )I ( )X K 1 X KR ()I (1) T
(v)
2 ^8%F %F%? F U QF<D D6 1L=0 ZVD 0
: ’.8 & (h) V
2743526274

X = x(*)
‘F$0 (DC F 9) cK , A A 7& – 9 – .&a 2
1a F0 : 0 I cK 0 00 X I (0) LB8 ’@ . >Q MN9 (v) V
@
’F s F 9 UF9 C8 A [0 A, A2 U85eD lA lA TF . F >QF > c F ’I3 U8%& c ;W V
F0 A >QF F ? Fu& ’F L8 ; K 0 , A A LB8
’I3 ;W V T & – A B & / , @ B5 = U Q<D F- QFL a ’F 0 7& – 2 9 ,Q QH ;W V Q
U8%F& c ;W FV UF9 2 FD > = ;W V T U9 LB8 85- Q 1 0 ’I3 U8 0 U85eD T . 8 A lA . F0 QFL@ 3 , A A 7& F- F0 F0 0 ’%& – ,
2 .F C F5 H 2 FB , F& , @ & 0 0 U Q<D U0 b
,F0 7 mF QFL& FH ’I3 ’9[ G0 – ’ .&a
FF >QFF >c FF FF A ,FF 2 | FFH = ’0 FF 2
F0 QF&D’F ,L/F86 ’585eD lA [}] (DISTO)
, @58 ’ 9[ QL D Qb ’I3 8J ’9[ G0 k 1L=
. ?- 0 ’B #>2 9
%FF%? FF U QFF<D ’FF FFK ( ) ‘FF$0 kF8L4D ( ) ‘F$0 . F >Q s O 9 ze0 n y y TF (t) A (h) , /F$0 A ’ ze0 ’48& @ &2 ? – 0 ’ B # >2 9 58 & & A U85eD , 0 k8L4D
, F8?F.8 & A (v) ‘F$0 UF85eD o F & ’0 2 . ’
. >Q s (r) ‘$0
**6 $ $ < ;
,0 , p%0 0 Q&D’ T 6 0 x(t) LB8
: 1 80 2 U4 0 =k8&@K
K 1
x t( ) = XR ( )0 +(XR ( )k cosk 0t + XI ( )k sin k 0t)
k 1=
( )
LB8 FF 1FF 2a , A A 7&FF- 0 = 2T 1a FF-
.Q& , _O X (k)I, XR (k)A
kF 2 ’& F 2 F& & K# T8F0 I0 ( ) , 8? – 0 0 F0 Q& D’ 1a >’%& – Z8[ 2 k8& @ K A LB8 6
1 F80 (IDFT) 1a S F4V F A (DFT) ?%F%? U Q<D
:
X (0)R
x(t )1X (1)R
x(t )21X (1)I(()
=
x(t2K 1)X (K 1R)
X (K 1I)
: S 4V %%? U Q<D D 6 B&& 1 1a –
0 ] #mf L= A i (t)S0 ] #mf L=x(t) 0 58 ’ I3 ‘ $0 7D f L= Hmn ( j ) iNL (t)
B&& m Q , @6 0%0 A – 7& – 2 9
.@ 8X 7 Q& B&& n A@ > ?/59 7 Q& F 2 ,0 V 1D’ (q) A ( ) ;WV 2 >c 0
:&
= H X + +ISINL (X)= 0(})
8J ,&H HA ]Q = ;K A3 9
, A2 F UF85eD lA , 8?- 00 1D’ (INL = 0) ’I3
F8@ F0 FH D 0 ’5- 9 ’ A . – U9 V T
0 . 86 $/ U9 > k Qb V 1a ’I3 8J ’%F& – ZF8[ ’ F = , QF= UF9 > kF T F uL kF8& @ K %F%? ; FK0 (}) V G8& A LB8
%F%? ’%F& – ZF8[ TF F- ’ F.&a 2 .Q& F ’F 1 80
235153233215

Z8[ T k8&@ K T ]c 0( X ) X >Q
lA TF F0 QFLL- ’F QK (}) V T8 [ ’B @ . ’ c? ’48& @ &2 lA
’FI3 F8J ;~ U85eD ,0 d <b ’48&@ &2 lA
>Q>c 7&- 29 | G ;Q
F lA 2 ]2W ;Q<D A wK 0 T .[q#h]
>c F ’FB # >2 F9 , @ 58 ’I3 8J U85eD
&2 k 8L4D , 8? – 0 , 0 uL T 0 . ’ :Q& ’ ] .& 2 U9 ’48& @ ’%F& – ZF8[ F0 G8& A (}) , 0 V A ] ? :Q& ’ U Q<D %%? k8& @ K 0 (X ) @ 8X
274328332

E = H X + +ISINL (X)= 0()
:V T
191109634003

F@ 8X %F%? ’%& – Z8[ 0 XN(2K 1) (D&
K ,F0 ^ %F8 ’FHA 3 1H G8& A ’53 , @EA U
:’ > ‘& 2 ;K 0 A k8&@
T
19304-11585

X = X (k)nn{1,2,, N}()
)
U 9 , A2 U 85eD lA 0 0 / ’48&@ F&2
TF .A ’F F- F0 ’I3 8J , @Q 0 : 0 ;WV
QF ,LB8F ;WFV 10 ’I3 8J 0 H D 0 @Q
’F<8- D QFL& D ’F A QL %F8& F3 ’ L8 ; K 0 AG F0 ’48& F@ ; K 0 – QL 0 ’c5 $ , LB8 2 ’I3 pF D A p%0 0 LB8 B ; <= 0 . Q& %0 A ^@
> ‘ F & kF8&@ T QFLy LB8F 1a p%F0 _O
.(v) D ( ) ;W V Q& ’ N F0 F 58 F@ F F 59 A > F? U85eD , 8? – 0 0
1 F80 F 2 U4 0 ’58%& c I0 N 0 1 D’ 59/> ? :[ ] –
+
h t( ) ( )x d + iS ( )t +iNL (x t( )) = 0 ( ) W F V ) ’F53 , F@E A U @ 8X 0 x(t) 1a –
S F # F8? E F A BJT , @ % G& D 8 #780 E A iS (t) ^ %F8 ’FHA 3 1 F H GF8& A (MOS , @ % G& D 1 H C0 L 0 iNL(t) B%0 & 1 H C0 L , LB8 0
MNF9 F0 58 ’%D 0 O P6 h(t) A C’I3 8J %0 A
. ’I3 8J K L=
QF 6 A kF6 x(t) A ’FI3 h(t) F- T 0H D 0
N 0 7& – 2 9 ( ) ;WV y ;<=
:Q& 1 80 U0 b EN(j ),…,E12(j ),E (j ) ;<=
E1 ( j
E2 ( j
Em ( j
EN ( j )
)
)
) = H11
H 21 Hm1
HN1 H12
H22
Hm2
HN2 H1n H2n
Hmn
HNn .. H1N H2N
HmN
HNN X1 ( j X2 ( j
.
.
Xn ( j
.
.
XN ( j ) ) )
)
IS,1INL,1
IS,2INL,2
++
IS,mIm
IS,NINL,N
(q)
] #n fFL= _8D D 0 U Q<D INL,m IS,m Xn 1a –
T
16256-22127

IS = IS,m (k)m{1,2,, N}()
IS,m ( )k =[IS,mR ( )0IS,mR ( )1IS,mI( )1IS,mR (K 1) IS,mI(K 1)]
() 85- % 0 & 1 H C0 FL T Q V [ 0
, A A 7& F- A (k = 0) DC kF8&@ GFH 0 48&@
. cK (k =1) 12a
174498027947

C0 FL %F%? ’%F& – Z8[ 0 INL (X)N(2K 1) (
K F &H 1a F _FO UF F- ’FI3 8J 1H
27432338832

559816321056

: ’ > ‘ & 2 ; K0 A > 0 k8& @ INL ( )X = INL,m ( )k T m {1,2, , N} (})
24384-9286

INL,m ( )k
=[IRNL,m ( )0IRNL,m ( )1IINL,m ( )1IRNL,m (K 1) IINL,m (K 1)]
()
<Fe F 2 w F F0 ’%F& – ZF8[ ]A ] ?
:Q& ’
AF86 F 9 % G&D @ 1H 4L 0 H D 0
’FF53 EA LB8 0 f x( n ) C0 FD 0 12 29
2494788565610

390144568658

1357884844502

T ’ B #>2 9 , @ 58 ) %0 A xn % G& D %%? 7& – 2 9 1 H < e , 0 ( ’ & C0 D
p D Xn LB8 0 ’% & – Z 8[ Q 0 (F X( n ))
F0 %F%? 1 F 2 2 F9 xn LB8F 0 0 1 D 6
f x( n ) C0 FD F 7m ’ U Q<D ’& 2 & & K#
86715631569

F0 1a 2 QFV0 A (f x( n )) >Q <e %%? 12 2 9
<Fe 7& F- 2 F9 F X( n ) F FD6 k –
: ’
2743214913

F(X )n = f (1 Xn )()
(}) V INL,m ’I3 8J 1H C<L @ B M [ 2
, F &H 2 ’= F . FV F3 86 7& – 2 9
TFFF , FFF &H FFF A BJT , @%FFF G&D FFF 45-
, F@ – – ( F X( n )) MOSFET, @ % G& D :Q& >Q n O ( Wmn ) Q , @ 6 0 %0 A
274397267

X kn ( )=
[X 0 X 1 X 1Rn ( )Rn ( )In ( )X K 1 X KRn ()In (1)]
()
A 1 F 2 2 F9 0 7& – 2 9 2 1H/EA @ & ,0
.’ >c(r) A (h) ;WV2 _8D D 0 74V 0
154686035059

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اینجا کلیک کنید

’I3 ‘$0 0 O P6 7D HN(2K 1) N(2K 1×) (F
A >F0 kF8&@ K ,F0 %F%? 7& F- 2 F9 58
:’ > ‘& 2 ;K 0
2590814926

H =[Hmn ] m,n{1,2,, N}(h)
Hmn =[Hmn (k,l)] k,l {0,1,2, ,K 1} (t) n QF , F@ > F?/59 7Q& B& & m ;W V T
, F 48&@ 7 QF& B& F80 l k AF@ 8X 7 Q& B&&
:T8L@ QL %@ ’%& –
25908-19036

Hmn (k,l) = HHRmnImn ((k,lk,l))HHRmnImn((k,lk,l))
(k =l0 p )
(Z #v)
2590813097

Hmn (k,l) =[HmnR (k,l)] (k = =l0 p )
(n#v)
25908101428

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