Curs 4 2015/2016rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2015.pdf2C/1L, DCMR (CDM) Minim 7...
Transcript of Curs 4 2015/2016rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2015.pdf2C/1L, DCMR (CDM) Minim 7...
![Page 1: Curs 4 2015/2016rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2015.pdf2C/1L, DCMR (CDM) Minim 7 prezente (curs+laborator) Curs - sl. Radu Damian Marti 18-20, P2 E –60% din nota probleme](https://reader030.fdocument.pub/reader030/viewer/2022040109/5e4431ab953bfc33067e1911/html5/thumbnails/1.jpg)
Curs 42015/2016
![Page 2: Curs 4 2015/2016rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2015.pdf2C/1L, DCMR (CDM) Minim 7 prezente (curs+laborator) Curs - sl. Radu Damian Marti 18-20, P2 E –60% din nota probleme](https://reader030.fdocument.pub/reader030/viewer/2022040109/5e4431ab953bfc33067e1911/html5/thumbnails/2.jpg)
2C/1L, DCMR (CDM) Minim 7 prezente (curs+laborator) Curs - sl. Radu Damian Marti 18-20, P2
E – 60% din nota
probleme + (2p prez. curs)▪ 3p=+0.5p
toate materialele permise Laborator – sl. Radu Damian Miercuri 8-14 impar (14.10.2015 – prez. obligatorie)
L – 25% din nota
P – 15% din nota
![Page 3: Curs 4 2015/2016rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2015.pdf2C/1L, DCMR (CDM) Minim 7 prezente (curs+laborator) Curs - sl. Radu Damian Marti 18-20, P2 E –60% din nota probleme](https://reader030.fdocument.pub/reader030/viewer/2022040109/5e4431ab953bfc33067e1911/html5/thumbnails/3.jpg)
![Page 4: Curs 4 2015/2016rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2015.pdf2C/1L, DCMR (CDM) Minim 7 prezente (curs+laborator) Curs - sl. Radu Damian Marti 18-20, P2 E –60% din nota probleme](https://reader030.fdocument.pub/reader030/viewer/2022040109/5e4431ab953bfc33067e1911/html5/thumbnails/4.jpg)
0 dBm = 1 mW
3 dBm = 2 mW5 dBm = 3 mW10 dBm = 10 mW20 dBm = 100 mW
-3 dBm = 0.5 mW-10 dBm = 100 W-30 dBm = 1 W-60 dBm = 1 nW
0 dB = 1
+ 0.1 dB = 1.023 (+2.3%)+ 3 dB = 2+ 5 dB = 3+ 10 dB = 10
-3 dB = 0.5-10 dB = 0.1-20 dB = 0.01-30 dB = 0.001
dB = 10 • log10 (P2 / P1) dBm = 10 • log10 (P / 1 mW)
[dBm] + [dB] = [dBm]
[dBm/Hz] + [dB] = [dBm/Hz]
[x] + [dB] = [x]
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Generator adaptat la sarcina ?
Ei
Zi
ZL
I
V
valori impedanta ? reflexii ?
![Page 7: Curs 4 2015/2016rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2015.pdf2C/1L, DCMR (CDM) Minim 7 prezente (curs+laborator) Curs - sl. Radu Damian Marti 18-20, P2 E –60% din nota probleme](https://reader030.fdocument.pub/reader030/viewer/2022040109/5e4431ab953bfc33067e1911/html5/thumbnails/7.jpg)
Puterea disponibila (available)
L
Li
L
Lii
iL
R
XX
R
RRR
EP
22
2
4
0,0 Li RR
a
i
iL P
R
EP
4
2
max iLiL XXRR ,
*iL ZZ
![Page 8: Curs 4 2015/2016rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2015.pdf2C/1L, DCMR (CDM) Minim 7 prezente (curs+laborator) Curs - sl. Radu Damian Marti 18-20, P2 E –60% din nota probleme](https://reader030.fdocument.pub/reader030/viewer/2022040109/5e4431ab953bfc33067e1911/html5/thumbnails/8.jpg)
Un Z0 oarecare ales ca referinta
0
*0
ZZ
ZZ
Z
Γ
ZZ0
Γ
![Page 9: Curs 4 2015/2016rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2015.pdf2C/1L, DCMR (CDM) Minim 7 prezente (curs+laborator) Curs - sl. Radu Damian Marti 18-20, P2 E –60% din nota probleme](https://reader030.fdocument.pub/reader030/viewer/2022040109/5e4431ab953bfc33067e1911/html5/thumbnails/9.jpg)
numere complexe in planul complex
*iL ZZ
*iL
Re Γ
Im ΓΓi
ΓL
Daca se alege un Z0 real
0
0
ZZ
ZZ
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Generatorul are posibilitatea de a oferi o anumita puteremaxima de semnal Pa
Pentru o sarcina oarecare, acesteia i se ofera o putere de semnal mai mica PL < Pa
Se intampla “ca si cum” (model) o parte din putere se reflectaPr = Pa – PL
Puterea este o marime scalara!
Ei
ZiPa
aL
iL
PP
ZZ
*
Ei
Zi ZL
PL
Ei
Zi
ZL
Pa PL
Pr
+
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ΓL
Zi ZL
Γi
ZiZL
Li
Lii
ZZ
ZZ
*
iL
iLL
ZZ
ZZ
*
Li
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Ei
Zi
ZLPa
PL
Pr
i
ia
R
EP
4
2
22
2
LiLi
iLL
XXRR
ERP
2
22
222
4
a
LiLi
LiLi
i
i
Lar PXXRR
XXRR
R
EPPP coeficient de
reflexie in putere
221 aaaraL PPPPPP
![Page 13: Curs 4 2015/2016rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2015.pdf2C/1L, DCMR (CDM) Minim 7 prezente (curs+laborator) Curs - sl. Radu Damian Marti 18-20, P2 E –60% din nota probleme](https://reader030.fdocument.pub/reader030/viewer/2022040109/5e4431ab953bfc33067e1911/html5/thumbnails/13.jpg)
![Page 14: Curs 4 2015/2016rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2015.pdf2C/1L, DCMR (CDM) Minim 7 prezente (curs+laborator) Curs - sl. Radu Damian Marti 18-20, P2 E –60% din nota probleme](https://reader030.fdocument.pub/reader030/viewer/2022040109/5e4431ab953bfc33067e1911/html5/thumbnails/14.jpg)
impedanta la intrarealiniei
ΓL
Z0 ZL
-l 0
lI
lVZin
lj
lj
ine
eZZ
2
2
01
1
ljlj eVeVlV 00
ljlj eZ
Ve
Z
VlI
0
0
0
0
Zin
lj
Llj
L
ljL
ljL
ineZZeZZ
eZZeZZZZ
00
000
lZjZ
lZjZZZ
L
Lin
tan
tan
0
00
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impedanta la intrarea liniei de impedantacaracteristica Z0 , de lungime l , terminata cu impedanta ZL
lZjZ
lZjZZZ
L
Lin
tan
tan
0
00
ΓL
Z0 ZL
-l 0
Zin
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reactanța pură
+/- in funcție de l
lZjZin tan0
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lZjZin cot0
reactanța pură
+/- in funcție de l
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Feed line – linie de intrare cu impedantacaracteristica Z0
Sarcina cu impedanta RL
Dorim adaptarea sarcinei la fider cu o linie de lungime λ/4 si impedanta caracteristica Z1
)tan(
)tan(
1
11
ljRZ
ljZRZZ
L
Lin
lj
lj
ine
eZZ
2
2
11
1
1
1
0
0
ZR
ZR
V
V
L
LO
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Pe fider (Z0) avem doar unda progresiva Pe linia in sfert de lungime de unda (Z1) avem
unda stationara
24
2
l
0
0
ZZ
ZZ
in
inin
L
inR
ZZ
2
1
0in LRZZ 01 L
Lin
RZZ
RZZ
0
2
1
0
2
1
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Punct de vedere fizic
1T
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Punct de vedere fizic
00 0
2
1 LRZZ
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(doar) la frecventa f0
24
2 0
0
0
l
4
0l
)tan(
)tan(
1
11
lZjZ
lZjZZZ
L
Lin
)tan( lt
not
tZjZ
tZjZZZ
L
Lin
1
11
LZZZ 01
lnot
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calitatea adaptarii coeficient de reflexie in putere
222 1tan1sec
cos
1sec
t
![Page 26: Curs 4 2015/2016rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2015.pdf2C/1L, DCMR (CDM) Minim 7 prezente (curs+laborator) Curs - sl. Radu Damian Marti 18-20, P2 E –60% din nota probleme](https://reader030.fdocument.pub/reader030/viewer/2022040109/5e4431ab953bfc33067e1911/html5/thumbnails/26.jpg)
ne intereseaza frecventa in jurul frecventeila care facem adaptarea (banda ingusta)
0ff 1tan1sec 22 4
0l2
cos2 0
0
L
L
ZZ
ZZ
![Page 27: Curs 4 2015/2016rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2015.pdf2C/1L, DCMR (CDM) Minim 7 prezente (curs+laborator) Curs - sl. Radu Damian Marti 18-20, P2 E –60% din nota probleme](https://reader030.fdocument.pub/reader030/viewer/2022040109/5e4431ab953bfc33067e1911/html5/thumbnails/27.jpg)
Definim un maxim acceptat pentru coeficientulde reflexie Гm care va defini banda adaptarii, θm
in linii TEM
00
0
24
12
4 f
f
f
v
v
fl
f
f
02 ff m
m
0
0
2
1
0
0
0
2
1cos
42
42
2
ZZ
ZZ
f
ff
f
f
L
L
m
mmm
![Page 28: Curs 4 2015/2016rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2015.pdf2C/1L, DCMR (CDM) Minim 7 prezente (curs+laborator) Curs - sl. Radu Damian Marti 18-20, P2 E –60% din nota probleme](https://reader030.fdocument.pub/reader030/viewer/2022040109/5e4431ab953bfc33067e1911/html5/thumbnails/28.jpg)
Pentru linii non TEM constanta de propagare nu depindeliniar de frecventa, dar in practica influenta este minora in banda ingusta
Sunt neglijate reactantele introduse de discontinuitati (Z0-> Z1). Compensarea se face printr-o mica modificare a lungimii liniei
Banda depinde de dezadaptarea initiala
cu cat dezadaptarea este mai mica cu atat banda se obtine mai larga
![Page 29: Curs 4 2015/2016rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2015.pdf2C/1L, DCMR (CDM) Minim 7 prezente (curs+laborator) Curs - sl. Radu Damian Marti 18-20, P2 E –60% din nota probleme](https://reader030.fdocument.pub/reader030/viewer/2022040109/5e4431ab953bfc33067e1911/html5/thumbnails/29.jpg)
Transformator de adaptare cu o singurasectiune (λ/4) pentru a adapta o sarcina de 10Ωla o linie de 50 Ω la frecventa f0=3GHz
banda pentru SWR<1.5
![Page 30: Curs 4 2015/2016rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2015.pdf2C/1L, DCMR (CDM) Minim 7 prezente (curs+laborator) Curs - sl. Radu Damian Marti 18-20, P2 E –60% din nota probleme](https://reader030.fdocument.pub/reader030/viewer/2022040109/5e4431ab953bfc33067e1911/html5/thumbnails/30.jpg)
simulare ADS
GHzf 88.0
51033 GHz
2933.03
88.0
0
f
f
![Page 31: Curs 4 2015/2016rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2015.pdf2C/1L, DCMR (CDM) Minim 7 prezente (curs+laborator) Curs - sl. Radu Damian Marti 18-20, P2 E –60% din nota probleme](https://reader030.fdocument.pub/reader030/viewer/2022040109/5e4431ab953bfc33067e1911/html5/thumbnails/31.jpg)
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Transformatorul in sfert de lungime de undapermite adaptarea oricarei impedante realecu orice impedanta a fiderului (liniei).
Daca banda necesara este mai mare decatcea oferita de transformatorul in sfert de lungime de unda se folosesc transformatoaremultisectiune
caracteristica binomiala
tip Cebîşev
![Page 33: Curs 4 2015/2016rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2015.pdf2C/1L, DCMR (CDM) Minim 7 prezente (curs+laborator) Curs - sl. Radu Damian Marti 18-20, P2 E –60% din nota probleme](https://reader030.fdocument.pub/reader030/viewer/2022040109/5e4431ab953bfc33067e1911/html5/thumbnails/33.jpg)
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jjj eTTeTTeTT 622
332112
42
232112
2321121
12
121
ZZ
ZZ
12
2
23
ZZ
ZZ
L
L
21
2121
21
ZZ
ZT
21
1212
21
ZZ
ZT
0
223
2321121
n
jnnnj eeTT
![Page 35: Curs 4 2015/2016rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2015.pdf2C/1L, DCMR (CDM) Minim 7 prezente (curs+laborator) Curs - sl. Radu Damian Marti 18-20, P2 E –60% din nota probleme](https://reader030.fdocument.pub/reader030/viewer/2022040109/5e4431ab953bfc33067e1911/html5/thumbnails/35.jpg)
0
223
2321121
n
jnnnj eeTT
11
1
0
xx
xn
n
j
j
e
e2
31
231
1
je 231
![Page 36: Curs 4 2015/2016rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2015.pdf2C/1L, DCMR (CDM) Minim 7 prezente (curs+laborator) Curs - sl. Radu Damian Marti 18-20, P2 E –60% din nota probleme](https://reader030.fdocument.pub/reader030/viewer/2022040109/5e4431ab953bfc33067e1911/html5/thumbnails/36.jpg)
Presupunem ca toate impedantelecresc sau descresc uniform
Toti coeficientii de reflexie vor fireali si de acelasi semn
Anterior
01
011
ZZ
ZZ
nn
nnn
ZZ
ZZ
1
1
NL
NLN
ZZ
ZZ
1,1 Nn
je 231
jNN
jj eee 242
210
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Realizez transformatorul simetric Aceasta nu implica faptul ca impedantele
sunt egale22110 ,, NNN
jNN
jj eee 242
210
442
2210
NjNjNjNjjNjNjN eeeeeee
nNNNe njN 2cos2coscos2 10
ultimul termen:
par2
12/ nN
imparcos2/1 nN
![Page 38: Curs 4 2015/2016rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2015.pdf2C/1L, DCMR (CDM) Minim 7 prezente (curs+laborator) Curs - sl. Radu Damian Marti 18-20, P2 E –60% din nota probleme](https://reader030.fdocument.pub/reader030/viewer/2022040109/5e4431ab953bfc33067e1911/html5/thumbnails/38.jpg)
Coeficient de reflexie
aleg coeficientii astfel incat sa obtin o variatiedorita (a polinomului)
jNN
jj eee 242
210
xe j 2
NN xaxaxaaxf 2
210
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Raspunsul acestui transformator este de tip maxim plat in jurul frecventei de adaptare
Pentru N sectiuni se anuleaza primele N-1 derivate ale functiei |Γ(θ)|
0;02 2
n
n
d
d
NxAxf 1
NjeA 21
NNN
jjN
j AeeeA cos2
1,1 Nn24
ll
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A, θ 0 , liniile de lungime 0, dispar
dezvoltarea binomului
Coeficientii de reflexie
NNN
nnNNN
NxCxCxCCxxf 101
!!
!
nnN
NCn
N
0
0
0
0 220ZZ
ZZA
ZZ
ZZA
L
LN
L
LN
jNN
jj eee 242
210
nNn CA
NjeA 21
![Page 41: Curs 4 2015/2016rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2015.pdf2C/1L, DCMR (CDM) Minim 7 prezente (curs+laborator) Curs - sl. Radu Damian Marti 18-20, P2 E –60% din nota probleme](https://reader030.fdocument.pub/reader030/viewer/2022040109/5e4431ab953bfc33067e1911/html5/thumbnails/41.jpg)
nNn CA
n
n
nn
nnn
Z
Z
ZZ
ZZ 1
1
1 ln2
1
1
1
12ln
xx
xx
00
01 ln22222lnZ
ZC
ZZ
ZZCA
Z
Z LnN
N
L
LNnNn
n
n
0
1 ln2lnlnZ
ZCZZ Ln
NN
nn
Proiectare
![Page 42: Curs 4 2015/2016rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2015.pdf2C/1L, DCMR (CDM) Minim 7 prezente (curs+laborator) Curs - sl. Radu Damian Marti 18-20, P2 E –60% din nota probleme](https://reader030.fdocument.pub/reader030/viewer/2022040109/5e4431ab953bfc33067e1911/html5/thumbnails/42.jpg)
Banda, Γm maxim tolerat
N
mN
mm A cos2
Nm
mA
1
1
2
1cos
N
mmm
Af
ff
f
f
1
1
0
0
0 2
1cos
42
42
2
![Page 43: Curs 4 2015/2016rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2015.pdf2C/1L, DCMR (CDM) Minim 7 prezente (curs+laborator) Curs - sl. Radu Damian Marti 18-20, P2 E –60% din nota probleme](https://reader030.fdocument.pub/reader030/viewer/2022040109/5e4431ab953bfc33067e1911/html5/thumbnails/43.jpg)
![Page 44: Curs 4 2015/2016rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2015.pdf2C/1L, DCMR (CDM) Minim 7 prezente (curs+laborator) Curs - sl. Radu Damian Marti 18-20, P2 E –60% din nota probleme](https://reader030.fdocument.pub/reader030/viewer/2022040109/5e4431ab953bfc33067e1911/html5/thumbnails/44.jpg)
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Transformator de adaptare cu 3 sectiunipentru a adapta o sarcina de 30Ω la o linie de 100 Ω la frecventa f0=3GHz, Γm=0.1
N = 3
30LZ 1000Z
0.07525ln2
12
01
0
0
Z
Z
ZZ
ZZA L
NL
LN
1!0!3
!30
3
C 3!1!2
!31
3
C 3!2!1
!32
3
C
![Page 46: Curs 4 2015/2016rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2015.pdf2C/1L, DCMR (CDM) Minim 7 prezente (curs+laborator) Curs - sl. Radu Damian Marti 18-20, P2 E –60% din nota probleme](https://reader030.fdocument.pub/reader030/viewer/2022040109/5e4431ab953bfc33067e1911/html5/thumbnails/46.jpg)
0n
4.455100
30ln12100lnln2lnln 3
0
0301
Z
ZCZZ LN
03.861Z
1n
77.542Z
2n
552.3100
30ln3277.54lnln2lnln 3
0
2323
Z
ZCZZ LN
87.343Z
4.003100
30ln3203.86lnln2lnln 3
0
1312
Z
ZCZZ LN
![Page 47: Curs 4 2015/2016rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2015.pdf2C/1L, DCMR (CDM) Minim 7 prezente (curs+laborator) Curs - sl. Radu Damian Marti 18-20, P2 E –60% din nota probleme](https://reader030.fdocument.pub/reader030/viewer/2022040109/5e4431ab953bfc33067e1911/html5/thumbnails/47.jpg)
74.00.07525
1.0
2
1arccos
42
2
1arccos
42
311
0
N
m
Af
f
GHzf 22.2
![Page 48: Curs 4 2015/2016rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2015.pdf2C/1L, DCMR (CDM) Minim 7 prezente (curs+laborator) Curs - sl. Radu Damian Marti 18-20, P2 E –60% din nota probleme](https://reader030.fdocument.pub/reader030/viewer/2022040109/5e4431ab953bfc33067e1911/html5/thumbnails/48.jpg)
Similar Lab. 1
GHzf 169.2
6105.33 GHz
![Page 49: Curs 4 2015/2016rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2015.pdf2C/1L, DCMR (CDM) Minim 7 prezente (curs+laborator) Curs - sl. Radu Damian Marti 18-20, P2 E –60% din nota probleme](https://reader030.fdocument.pub/reader030/viewer/2022040109/5e4431ab953bfc33067e1911/html5/thumbnails/49.jpg)
Raspunsul acestui transformator este de tip echiriplu in jurul frecventei de adaptare
mareste banda in detrimentul riplului in banda de adaptare
Se egaleaza functia Γ(θ) cu un polinomCebîşev
![Page 50: Curs 4 2015/2016rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2015.pdf2C/1L, DCMR (CDM) Minim 7 prezente (curs+laborator) Curs - sl. Radu Damian Marti 18-20, P2 E –60% din nota probleme](https://reader030.fdocument.pub/reader030/viewer/2022040109/5e4431ab953bfc33067e1911/html5/thumbnails/50.jpg)
Echiriplu
xxT 1
12 2
2 xxT
xxxT 34 3
3
188 24
4 xxxT
xTxxTxT nnn 212
111 xTx n
![Page 51: Curs 4 2015/2016rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2015.pdf2C/1L, DCMR (CDM) Minim 7 prezente (curs+laborator) Curs - sl. Radu Damian Marti 18-20, P2 E –60% din nota probleme](https://reader030.fdocument.pub/reader030/viewer/2022040109/5e4431ab953bfc33067e1911/html5/thumbnails/51.jpg)
nNNNe njN 2cos2coscos2 10
ultimul termen:
par2
12/ nN
imparcos2/1 nN
jNN
jj eee 242
210
xe j 2
NN xaxaxaaxf 2
210
cosx
xnxTn arccoscos )(coshcosh)( 1 xnxTn1x 1x
nTn coscos
![Page 52: Curs 4 2015/2016rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2015.pdf2C/1L, DCMR (CDM) Minim 7 prezente (curs+laborator) Curs - sl. Radu Damian Marti 18-20, P2 E –60% din nota probleme](https://reader030.fdocument.pub/reader030/viewer/2022040109/5e4431ab953bfc33067e1911/html5/thumbnails/52.jpg)
Schimbare de variabila
cos
1sec
1 xm
1 xm
m
x
cos
cos
cossec mx
![Page 53: Curs 4 2015/2016rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2015.pdf2C/1L, DCMR (CDM) Minim 7 prezente (curs+laborator) Curs - sl. Radu Damian Marti 18-20, P2 E –60% din nota probleme](https://reader030.fdocument.pub/reader030/viewer/2022040109/5e4431ab953bfc33067e1911/html5/thumbnails/53.jpg)
Cautam coeficientii pentru a obtine un polinom Cebîşev
cosseccossec1 mmT
12cos1seccossec 2
2 mmT
cossec3cos33cosseccossec 3
3 mmmT
112cossec432cos44cosseccossec 24
4 mmmT
nNNNe njN 2cos2coscos2 10
ultimul termen:
par2
12/ nN
imparcos2/1 nN
cossec mNjN TeA
![Page 54: Curs 4 2015/2016rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2015.pdf2C/1L, DCMR (CDM) Minim 7 prezente (curs+laborator) Curs - sl. Radu Damian Marti 18-20, P2 E –60% din nota probleme](https://reader030.fdocument.pub/reader030/viewer/2022040109/5e4431ab953bfc33067e1911/html5/thumbnails/54.jpg)
A, θ 0 , liniile de lungime 0, dispar
mN
L
L TAZZ
ZZsec0
0
0
mNL
L
TZZ
ZZA
sec
1
0
0
00
0 ln2
11sec
Z
Z
ZZ
ZZT L
mL
L
m
mN
)(coshcosh)( 1 xnxTn
m
L
L
L
m
m
ZZ
NZZ
ZZ
N 2
lncosh
1cosh
1cosh
1coshsec 01
0
01
mm
f
ff
f
f 42
2
0
0
0
Am
![Page 55: Curs 4 2015/2016rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2015.pdf2C/1L, DCMR (CDM) Minim 7 prezente (curs+laborator) Curs - sl. Radu Damian Marti 18-20, P2 E –60% din nota probleme](https://reader030.fdocument.pub/reader030/viewer/2022040109/5e4431ab953bfc33067e1911/html5/thumbnails/55.jpg)
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Transformator de adaptare cu 3 sectiunipentru a adapta o sarcina de 30Ω la o linie de 100 Ω la frecventa f0=3GHz, Γm=0.1
N = 3 30LZ 1000Z
cosseccos3cos2 33
103
mjj TAee
1.0 mA
362.1
1.02
10030lncosh
3
1cosh
2
lncosh
1coshsec 101
m
Lm
ZZ
N
76.42746.0
sec
1arccos rad
m
m
mNL
L
TZZ
ZZA
sec
1
0
0
00 AZZL 1.0A
![Page 58: Curs 4 2015/2016rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2015.pdf2C/1L, DCMR (CDM) Minim 7 prezente (curs+laborator) Curs - sl. Radu Damian Marti 18-20, P2 E –60% din nota probleme](https://reader030.fdocument.pub/reader030/viewer/2022040109/5e4431ab953bfc33067e1911/html5/thumbnails/58.jpg)
cossec3cos33cosseccos3cos2 310 mm AA
mA 30 sec2 1263.00
cos mmA secsec32 31 1747.01
3cos
simetrie: 1203 ;
![Page 59: Curs 4 2015/2016rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2015.pdf2C/1L, DCMR (CDM) Minim 7 prezente (curs+laborator) Curs - sl. Radu Damian Marti 18-20, P2 E –60% din nota probleme](https://reader030.fdocument.pub/reader030/viewer/2022040109/5e4431ab953bfc33067e1911/html5/thumbnails/59.jpg)
0n
4.3531263.02100ln2lnln 001 ZZ
68.771Z
1n
77.542Z
2n
62.383Z
1263.00
1747.01
4.0031747.0268.77ln2lnln 112 ZZ
654.31747.0277.54ln2lnln 223 ZZ
![Page 60: Curs 4 2015/2016rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2015.pdf2C/1L, DCMR (CDM) Minim 7 prezente (curs+laborator) Curs - sl. Radu Damian Marti 18-20, P2 E –60% din nota probleme](https://reader030.fdocument.pub/reader030/viewer/2022040109/5e4431ab953bfc33067e1911/html5/thumbnails/60.jpg)
GHzf 15.3
045.1
180
76.4242
42
2
0
0
0
mm
f
ff
f
f
![Page 61: Curs 4 2015/2016rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2015.pdf2C/1L, DCMR (CDM) Minim 7 prezente (curs+laborator) Curs - sl. Radu Damian Marti 18-20, P2 E –60% din nota probleme](https://reader030.fdocument.pub/reader030/viewer/2022040109/5e4431ab953bfc33067e1911/html5/thumbnails/61.jpg)
Similar Lab. 1
GHzf 096.3
51017.43 GHz
09925.0282.2 GHz
![Page 62: Curs 4 2015/2016rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 4_2015.pdf2C/1L, DCMR (CDM) Minim 7 prezente (curs+laborator) Curs - sl. Radu Damian Marti 18-20, P2 E –60% din nota probleme](https://reader030.fdocument.pub/reader030/viewer/2022040109/5e4431ab953bfc33067e1911/html5/thumbnails/62.jpg)
Laboratorul de microunde si optoelectronica http://rf-opto.etti.tuiasi.ro [email protected]