Institut National des Sciences Appliquées et de Technologie
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Enseignant:
Slim Yacoub
1
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CH1 Elément actif à semi-conducteur I Modèles statiques de la diode a jonction PN
8
I.1 Introduction: I.2 Le modèle idéal: I.3 Le modèle a seuil:
9
I.4 Le modèle linéarisé: II Fonctionnement linéaire de la diode (régime petit signaux)
10
II.1 polarisation de la diode II.2 Puissance maximale de la diode
11
II.3 Les claquage dans les diodes II.3.1 le claquage par avalanche II.3.2 Le claquage par effet tunnel
12
II.3.3 Le claquage thermique II.4 Les capacités de la diode a jonction PN III Les diodes zener
III.1 Modèle statique
13 14
III.2 Modèle linéarisé
CH2 Les Transistor bijonction I Introduction
I.1 Polarisation d’un transistor: II. montage a émetteur commun
16 17 18
II.1 Rapport α et β II.2 Modèle Ebers-Moll
19
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III.3 Caractéristiques du gain en courant III.4 Valeurs limites des transistors
22
III.5 Droite de charge en continu III.6 Transistor Interrupteur
23
III.7 Transistor source de courant
24
IV Circuit de polarisation d’un transistor
IV.1Polarisation de base
25
IV.2 polarisation par réaction d’émetteur IV.3 polarisation par réaction de collecteur
27
IV.4 polarisation par diviseur de tension
28
V circuit a transistor PNP
29
VI. Maintenance des transistors
31
CH3 Amplificateur à Transistor A. Montage émetteur commun
32
I Introduction
I.1Condensateur I.1Condensateur de couplage et condensateur de découplages II Application du théorème de superposition aux amplifi cateurs
33
II.1 Circuit équivalent en alternatif et en continu II.2 Résistance en alternatif de la diode émetteur
35
II.3 Beta β en alternatif
36
III Amplificateur à émetteur à la masse
III.1 Modèle en alternatif d’un étage à émetteur commun III.1.I Impédance d’entrée
38
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B. Montage collecteur commun I Principe
40
I.1 Droite de charge statique I.2 En dynamique I.2.1 Circuit équivalent en courant alternatif
41 42
Impédance totale d’entrée de l’amplificateur Impédance de sortie
43
Modèle en courant alternatif C. Montage base commune I Introduction
45
II Polarisation par diviseur de tension
II.1 Le circuit équivalent en alternatif
46
II.2 Le modèle en courant alternatif d’un amplificateur a bas commune
47
D. Paramètre hybride I les paramètres hybride
48
II schéma équivalent en petit signaux
II.1 gain en courant et en tension
49
CH.4 Amplificateur de puissance A Amplificateur classe A et classe B I. Transistor classe A
51
I.1 Droite de charge en dynamique d’un amplificateur à émetteur commun I.2 saturation et blocage dynamique
52
I.3 Dynamique du signal alternatif de sortie
53
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II.2 Puissance dissipé par un transistor t ransistor II.3 Courant d’alimentation ou courant consommé III Transistor classe B
57
III.1 Amplificateur Push-Pull III.1.1L’équivalent en courant continu CC
58
III.1.2 L’équivalent en courant alternatif CA : III.1.3 Distorsion de croisement de recouvrement ou de passage par zéro
60
III.1.4 Polarisation par diviseur de tension
61
III.1.5 Amplificateur d’attaque ou de pilotage d’un amplificateur classe B
64
III.2 fonctionnement en classe B III.1.1 Puissance de charge III.1.2 Puissance dissipé par un transistor II.1.3 Puissance fournie au circuit Ps III.3 Polarisation par diviseur de tension III.4 Amplificateur d’attaque ou de pilotage d’un amplificateur classe B B Amplificateur classe C I Fonctionnement en classe C
65
Chapitre 5 les amplificateurs opérationnels Introduction
68
I l’amplificateur différentiel ou de différence
I-1 Analyse en courant continu -a
Courant de queue IT.
-b
Courant de décalage d’entrée
-c
Tension de décalage d’entrée
I.2 Analyse en courant alternatif
69
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- Taux de rejection en mode commun (Common Mode Rejection Ratio) I.2.1
Polarisation par miroir de courant
71
II l’Amplificateur opérationnel
II.1 Introduction
73
II.1.1 Symboles II.1.2 Fonctionnement de l’amplificateur en comparateur
74
II.2 La rétroaction II.2 .1 Définition II.2.2 Différents type de contre-réaction III Application linéaires de l’amplificateur opérationnel
III.1.2. Amplificateur non inverseur III.1.3. Amplificateur inverseur
78
III.1.4 Amplificateur sommateur ou additionneur III.1.5. soustracteur ou amplificateur de différence
79
III.1.6. Dérivateur Intégrateur
80
III.1.7. Convertisseur courant tension
81
III.1.8. Convertisseur tension courant IV. Les filtres actifs
82
IV. 1Les filtres passe-bas IV.2 Filtre passe-haut
84
Chapitre 6 Oscillateur I Oscillateur sinusoïdaux
85
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II.1 Réseau d’avance de retard II.2 fonctionnement III.Oscillateur colpitts
88 89
III.I Montage a émetteur commun IV Cristaux de quartz
91
IV.1 Fondamentales et harmoniques IV.2 Résonnance série et résonance parallèle V Minuterie 555
92
V.1 Bascule RS V.2 Schéma fonctionnel du 555
93
V.2.1 Fonctionnement Fonctionnement en Multivibrateur Monostable
94
V.2.2 Fonctionnement Fonctionnement en multivibrateur astable
95
Bibliographie
96
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CH1 Elément actif à semi-conducteur
I Modèles statiques de la diode a jonction PN I.1 Introduction :
Les modèles sont utilisés pour l’analyse l ’analyse des phénomènes, des processus, processus, des systèmes et des éléments. La diode est un élément non linéaire, l’équation liant le courant I D et la tension V D est non linéaire : I D = I S (e
V D m.V T
− 1)
VT : potentiel thermique Is ; courant inverse m : coefficient d’ajustement empirique VD : tension appliquée aux bornes de la diode Ceci rend l’analyse d’un circuit électrique comportant des diodes difficile. Pour faciliter donc cette analyse on remplace les diodes par des modèles linéaires. I.2 Le modèle idéal :
En direct la diode est considérée comme un circuit fermé : VD =0
pour
ID ≥ 0
En inverse la diode est considérée comme un circuit ouvert ID =0
pour
VD ≤ 0
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I.3 Le modèle a seuil : La forme analytique du modèle est exprimée par les équations :
V D = V 0
pour I D ≥ 0
I D = 0
pour V D ≤ V 0
�
�
A
ID
A
ID VD
V0 V0
0
�
VD
VD
K
K
Fig2 Modèle a seuil a: forme graphique; b: schéma équivalent de la diode en direct; c: schéma équivalent de la diode en inverse I.4 Le modèle linéarisé :
La forme analytique du modèle est exprimée par les équations : V D = V 0 + r D I . D I D = 0
pour I D ≥ 0
pour V D ≤ V 0
�
A
ID
�
A
ID VD
∆ ID
V0
�
VD
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II Fonctionnement linéaire de la diode (régime petit signaux)
Quand on fait passer un courant variable (par exemple sinusoïdal) id à travers une diode, si la tension VD sur la diode a la même forme, la diode fonctionne en régime linéaire. Ceci est vrai pour de très très petites amplitudes amplitudes de id et VD. ID
iD A t
VD vD
Fig4 Diode linaire II.1 polarisation de la diode
Le rôle de ID0 est de placer le point A au milieu d’une section linéaire de la caractéristique. La diode doit être polarisée par le courant I D0 avant qui id ne soit appliqué. V D = E 0 − I . D R .
(1)
Equation du circuit de polarisation condition externe (1). . D . = I S .e I
VD m.VT
(2)
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E0 /R
ID
ID0
A
VD0
E0
VD
0 Fig5 Détermination graphique du point de fonctionnement de la diode
II.2 Puissance maximale de la diode
P = V D 0 I . D 0 = Puissance électrique
Tj − Ta . Rth Puissance dissipée
Rth résistance thermique de la diode de l’ordre °c/W et atteint quelques centaines centaines de °c/W pour les diodes de petites puissance. Tj : Température de la jonction Ta : Température ambiante
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La résistance dynamique de claquage : r z =
dV D = cot anα pour I d 〈 I z min dI D
ID
VBR
α
IZmin
IZmax
Fig6 Caractéristique complète d’une diode a jonction PN
VD
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ε r Permittivité relative du semi conducteur
La capacité de diffusion C D =
τ p I . Dp + τ n I . Dn
m.VT
p : Temps de vie des trous
n : Temps de vie des électrons I Dp , I Dn courant de diffusion des trous et des électrons p >> τ n τ
et I Dp >> I Dn
⇒ C D =
p I τ . Dp m.VT
��
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C=CD+C�
C
Fig7 Schéma équivalent hautes fréquence de la diode
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A
Symbole III.1 Modèle statique �
K
ID
VZ
VD
�
K
IZ VD
VZ 0
�
A
VD
A
Fig.8 Modèle idéale d’une diode Zener a: forme graphique; b: schéma équivalent dans la zone de claquage; c: schéma équivalent avant le claquage V D = V Z pour I Z ≥ 0
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V D = V Z + r Z I Z pour I Z ≥ 0 I Z = 0 pour V D ≤ V Z
Le circuit de polarisation de la diode zener est le suivant R
VD IZ E0
Fig.10 Circuit de polarisation Coordonnées du point de fonctionnement I D 0 =
E 0 − V Z R + r z
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CH2 Les Transistors bijonctions
I.1 Introduction
L’impact du transistor dans le monde est énorme. En effet ce dernier a permit de réaliser les circuits intégrés, les l es composants optoélectroniques et les microprocesseurs. Un transistor ce présente comme suit : C
C B
B
E ���
E ���
Fig.1 Symbole d’un transistor
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Le transistor comporte deux jonctions il ressemble donc a deux diode, la première est appelée la diode émetteur la seconde diode collecteur. I.1 Polarisation d’un transistor :
• Montage base commune commune
�
�
� �EB
� �
�
�
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�CB
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On a I E = I C + I B ⇒
β cc =
⇒
I E I = 1 + B I C I C
1
⇒
α CC
= 1+
α CC 1 − α CC
Deux circuits équivalent
�
+
VCE
1 β CC
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- IB r’b =0 - IC =IE
α CC=1
- IB =IE / β CC Conclusion :
Pour qu’un transistor fonctionne de façon linéaire : 1 La diode émetteur doit être polarisée en direct 2 La diode collecteur doit être polarisée en inverse 3
La tension entre entre les bornes de la diode collecteur < à la tension de claquage claquage
III Caractéristique d’un transistor
Les caractéristiques qui lient les courants et les tensions d’un transistor t ransistor représentent graphiquement son fonctionnement.
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Si VCE fonctionne au dessus de la zone de claquage le transistor ne fonctionne plus en tant que source de courant.
III.2 caractéristiques de base
La caractéristique de base est celle d’une diode :
IB
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Vcc/Rc
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III.7 Transistor source de courant
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IV .1 Polarisation de base
Appelée aussi polarisation fixe cette façon de polariser un transistor n’est pas bonne car le point Q n’est pas stable en effet βcc peut varier d’un rapport 9/1 selon le courant et la température.
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toutes les tensions sont inversées et pour polariser en direct la diode émetteur d’un transistor
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Maintenance des transistors
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+VCC R1 B
B E
B
R1
E
B
R1
E
Fig.11 Transistor montés en diodes
Toute augmentation de la température diminue la tension de polarisation des diodes +VCC R1
Miroir de courant NPN
B
E
2 VBE R1
B Miroir de courant PNP
R1
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I B Très inférieur a I R ⇒ I D ≈ I R
La diode a les mêmes caractéristique que la jonction VBE V BE ⇒ I D ≈ I E ≈ I C ⇒ I C ≈ I R ⇒ on règle le courant émetteur en réglant le courant de R. On polarise la diode par un miroir de courant
+VCC R1
IR Miroir de courant NPN
B
IB
E
ID
Fig.13 Miroir de courant NPN +VCC Miroir de courant PNP
B IB R1
Fig.14 Miroir de courant PNP
E
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III. 1.5 Amplificateur d’attaque ou de pilotage pi lotage d’un amplificateur classe B
R1
R3 B Q3 E
�� R1
RL
E B Q4
Q2 B E R2 R4
Fig.15 Amplificateur de pilotage d’un amplificateur classe B
Les condensateurs servent à transmettre le signal AC notons que ce n’est pas la l a meilleure façon d’attaquer un amplificateur classe B. Le transistor Q2 est monté en source de courant qui fournit le l e courant de polarisation via les diodes. Le courant IE2 est réglé en réglant R2 IE3=IE4=IE2 (effet miroir). Quand on attaque T2 avec un signal alternatif ce dernier sera amplifié et inversé (gain A=R3/R4) T2 se comporte comme un amplificateur amplificateur d’entrée stabilisé durant l’alternance l’alternance positive Q3
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B Amplificateur classe C
I Fonctionnement en classe C
Un amplificateur classe C peut fournir une plus grande puissance de charge qu’un amplificateur classe B sauf que pour amplifier une onde sinusoïdale il faut accorder l’amplificateur à la fréquence de l’onde d’entrée. On l’utilise surtout pour amplifier des signaux radiofréquences (>20 KHz).
I fonctionnement en classe C
+Vcc
C
L
B
Vi
E RB
Fig.1 Transistor en classe C
Vo RL
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A Amax
fr
f
Fig.2 Réponse en fréquence
IC Vcc/r
Droite de charge dynamique Droite de charge statique
Q Vcc
Fig.3Droit de charge statique et dynamique
VCE
La jonction BE n’est pas polarisée donc le point Q se confond avec Vcc, un courant collecteur apparait quand la tension d’entrée est supérieure à 0,7 V. Le transistor fonctionne pendant moins de 180 °.
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IC
Fig.4 Forme d’ondes
θ
Cette onde est composée d’une onde fondamentale f et d’un deuxième harmonique, d’un troisième etc….. Si le circuit entre en résonance à f donc toutes les harmoniques sont éliminées et la tension de charge est une onde sinusoïdale. Un bon fonctionnement du montage exige un facteur de qualité supérieur à 10 (à bande étroite). L’excursion maximale de tension le long de la droite de charge dynamique est d’environ Vcc à plein signal la tension de charge dévie d’environ Vce(sat) à 2 Vcc, comme Vce sat est a peu près nulle => la dynamique du signal PP est d’environ 2Vcc.
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Chapitre 5 Les amplificateurs opérationnels
Introduction
L’amplificateur opérationnel typique est un amplificateur a gain élevé pour des courant continu fonctionnant de 0hz a 1Mhz pas de capacité de couplage découplage. I l’amplificateur différentiel ou de différence
Les transistors, les diodes et les résistances sont les seuls composants pratiques d’un circuit intégré monolithique. On fabrique parfois des condensateurs condensateurs sur une puce mais leurs capacité est habituellement inférieur à 50pf. Les concepteurs de CI ne peuvent pas utiliser uti liser des condensateurs condensateurs de couplages ils doivent donc coupler directement les étages d’un CI monolithique. L’amplificateur différentiel et l’un des meilleurs étages couplés directement il sert surtout d’étage d’entrée dans un amplificateur opérationnel. �CC
�C
�C �0
�1
�2
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�0=A.( �1- �2) I-1 Analyse en courant continu -a
Courant de queue I T. �CC
�CC
�C
� 1
�C
� 1
� 2
�B
� 2
�B
�B
�B 2.�E
2.�E
�E ��EE ��EE
Fig.2 Courant continu
Si R B < 0,02 . β CC R . E ⇒ V BM = 0 -b
Courant de décalage d’entrée
I i ( decalege ) = I B1 − I B 2 Si
⇒ I E =
T Q1 = T Q 2
⇒ I i = 0
V EE − V BE 2 R . E
I T = 2 I . E
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RE très grand devant r’e => �E
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������������
on a ie =
⇒
���� ������
V 1 2r ' e
V 0 RC = V 1 2.r ' e
V 1 = 0 ⇒ ie =
⇒
V 0 = ic R . C
⇒ gain en tension V 2 2r ' e
V 0 = − ic R . C = −
V 2 R . 2r ' e C
V 0 R = − C V 2 2.r ' e
Théorème de superposition => ⇒ V 0 = V 0(1) + V 0( 2 ) =
RC .(V − V ) = A.(V 1 − V 2 ) 2.r ' e 1 2
A: Gain en tension différentiel Impédance d’entrée: d’entrée:
r i =
V 1 = 2 β . .r ' e i1
Gain en mode commun
⇒ A MC = −
RC 2 R . E
Si ⇒ RC = 10 K Ω et RE = 10 K Ω
⇒ A MC = −0.5 ⇒ l’amplificateur atténue un
signal de mode commun - Taux de rejection en mode commun (Common Mode Rejection Ratio)
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������������
���� ������
�CC �C
� 1
� 2
�1
�2 �B
� � 4 �1
��EE
Fig.4 Miroir de courant
De la même manière que précédemment on peut augmenter le gain différentiel A en utilisant un miroir de courant de charge. Si RC est trop grand on risque de saturé le transistor de sortie. �CC
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������������
���� ������
II l’Amplificateur opérationnel II.1 Introduction
Un amplificateur opérationnel idéal doit avoir une impédance d’entrée infinie une impédance de sortie nulle un gain infini et une bande passante beaucoup beaucoup plus large que le spectre du signal à amplifier. Par ailleurs il doit être insensible aux variations de température aux variations de la tension d’alimentation et le signal de sortie doit être nul lorsqu’aucun signal n’est appliquée a l’entrée. II.1.1 Symboles
- Symbole graphique +�1
E����� ��� ���������� + �
A
+�2 E����� ����������
Fig.1 Symbole
- Modèle +
+�0
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������������
���� ������
E����� ��� ����������
��+
+ ���
�
A
+�0
�� E����� ���������� +
�� �
Fig.2 Défauts dans un amplificateur
Les générateurs de tension ed+ , ed- et les générateurs de courant id+ et id- représentent les défauts. II.1.2 Fonctionnement de l’amplificateur en comparateur
En boucle ouverte �ε >0
=>
�0= �sat
�ε <0
=>
�0= ��sat
Pour avoir un fonctionnement linéaire on doit réaliser une contre réaction pour des problèmes de stabilité elle sera toujours réalisé sur le (-) de l’amplificateur. l ’amplificateur.
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������������
A =
���� ������
X O X i
B = A f =
on a
X O X e
X f X O gain du système en boucle fermée
X O = A. X i = A.( X e − B. X O ) X O .(1 + A B . ) = A. X e
⇒
X O A = = A f X e 1 + A B .
⇒ A f ≈
Si A est très grand
1 B
Donc le gain ne dépend que de la chaine de contre réaction qui ne comprend que des éléments passif stables en fonction de la température. II.2.2 Différents type de contre-réaction contre-réaction
- Contre réaction tension-tension (tension série) : on o n réinjecte une tension proportionnelle a la tension de sortie. ��
��
A��
��
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������������
���� ������
- Contre réaction tension-courant (courant série) : on injecte a l’entrée une tension proportionnel au courant de sortie ��
��
��
��
��
�� B��
Fig.4 Contre réaction -tension courant
- Contre réaction courant-courant (courant parallèle) : on injecte a l’entrée un courant proportionnel au courant de sortie �� �� ��
�� ��
��
��
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������������
���� ������
Ve = V + = V − =
⇒
R1 .V R1 + R2 S
V S R2 = 1 + .V S Ve R1
Ze = +∞
Z S est très faible
III.1.3 Amplificateur inverseur �2 �1
� �ε
�
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������������
���� ������
On a Vi
− V 0
∑ Ri = R
1
R V 0 = ∑ 1 .V i Ri
Vo est au signe près pr ès une somme pondérée des tensions d’entrée. III.1.5 soustracteurs ou amplificateur de di fférence � � � �
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������������
���� ������
III.1.6 Dérivateur Intégrateur �
C
� � �ε +
+��
+��
Fig.11 Amplificateur dérivateur
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������������
i = C
⇒
���� ������
dV S dt
dV S Ve 1 ⇒ V S = − Ve.dt =− dt R.C R.C ∫
III.1.7 Convertisseur courant tension �
� �ε
� +
+��
+��
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������������
���� ������
V − = V + ⇒ V i = V f V f =
R V R + R L 0
⇒ i0 ≈
IV. Les filtres actifs IV. 1Les filtres passe-bas
V f V i ≈ R R
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Pour un filtre du deuxième ordre il faut associer deux réseaux de retard La figure suivante donne le cas d’une structure à deux réseaux de retard d’où un filtre passebas du deuxième ordre avec une pente de 40db/dec. C
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Deuxième cellule ACl = 2 ⇒ fc =
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IV.2 Filtre passe-haut
On transforme un filtre passe-bas ou butterworth en un filtre passe-haut en utilisant des
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Chapitre 6 Oscillateur
I. Oscillateur sinusoïdaux
L’Oscillateur sinusoïdal nécessite l’utilisation d’un amplificateur à réaction positive. On applique un signal de réaction au lieu d’un signal d’entrée.
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Dans ce cas l’oscillateur fournit son propre signal d’entrée et produit une sortie sinusoïdale. A
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Il faut avoir un gain égal à 3 exactement, ce n’est pas possible avec des résistances de ce fait
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A la mise sous tension les diodes sont bloquées et le taux de réaction est < 1/3 puisque
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Try Scribd FREE for 30 days to access over 125 million titles without ads or interruptions! Start Free Trial Cancel Anytime.
Trusted by over 1 million members
Try Scribd FREE for 30 days to access over 125 million titles without ads or interruptions! Start Free Trial Cancel Anytime.
Trusted by over 1 million members
Try Scribd FREE for 30 days to access over 125 million titles without ads or interruptions! Start Free Trial Cancel Anytime.
Trusted by over 1 million members
Try Scribd FREE for 30 days to access over 125 million titles without ads or interruptions! Start Free Trial Cancel Anytime.
Trusted by over 1 million members
Try Scribd FREE for 30 days to access over 125 million titles without ads or interruptions! Start Free Trial Cancel Anytime.
Trusted by over 1 million members
Try Scribd FREE for 30 days to access over 125 million titles without ads or interruptions! Start Free Trial Cancel Anytime.
Trusted by over 1 million members
Try Scribd FREE for 30 days to access over 125 million titles without ads or interruptions! Start Free Trial Cancel Anytime.
Trusted by over 1 million members
Try Scribd FREE for 30 days to access over 125 million titles without ads or interruptions! Start Free Trial Cancel Anytime.