This presentation contains the basics of feedback, types of feedback connection & properties of the negative feedback amplifier. Numericals based on the properties are solved & given for practice.
A voltage amplifier circuit is a circuit that amplifies the input voltage to a higher voltage. So, for example, if we input 1V into the circuit, we can get 10V as output if we set the circuit for a gain of 10. Voltage amplifiers, many times, are built with op amp circuits.
This presentation contains the basics of feedback, types of feedback connection & properties of the negative feedback amplifier. Numericals based on the properties are solved & given for practice.
A voltage amplifier circuit is a circuit that amplifies the input voltage to a higher voltage. So, for example, if we input 1V into the circuit, we can get 10V as output if we set the circuit for a gain of 10. Voltage amplifiers, many times, are built with op amp circuits.
EST 130, Transistor Biasing and Amplification.CKSunith1
The attached narrated power point presentation explains the need for biasing in transistor amplifiers and the different biasing arrangements used in transistor circuits. The material will be useful for KTU first year B Tech students who prepare for the subject EST 130, Part B, Basic Electronics Engineering.
The performance obtainable from a single-stage amplifier is often insufficient for many applications, hence several stages may be combined forming a multistage amplifier. These stages are connected in cascade, i.e. output of the first stage is connected to form input of second stage, whose output becomes input of third stage, and so on.
thank u
Hansraj MEENA
Field-effect transistor amplifiers provide an excellent voltage gain with the added feature of high input impedance. They are also low-power-consumption configurations with good frequency range and minimal size and weight.
JFETs, depletion MOSFETs, and MESFETs can be used to design amplifiers having similar voltage gains.
The depletion MOSFET (MESFET) circuit, however, has a much higher input impedance than a similar JFET configuration.
This presentation contains the basic information you need to know about operational amplifier.
I have tried to cover all the basic info. If anything is left out or you have any suggestions i will appreciate it.
Field Effect Transistor, JFET, Metal Oxide Semiconductor Field Effect Transistor, Depletion MOSFET, Enhancement MoSFET, Construction, Basic operation, Regions of Operation, Drain Characteristics, Transfer Characteristics, Biasing, Non-Ideal Characteristics of E-MOSFET, DC Analysis, AC equivalent circuit and Parameters, E-MOSFET as an Amplifier, AC analysis, MOSFET as a Switch, MOSFET as a diode, MOSFET as a resistor, High frequency equivalent circuit, Miller Capacitance, Frequency Response, NMOS and CMOS inverter
Signal and System, CT Signal DT Signal, Signal Processing(amplitude and time ...Waqas Afzal
Signal and System(definitions)
Continuous-Time Signal
Discrete-Time Signal
Signal Processing
Basic Elements of Signal Processing
Classification of Signals
Basic Signal Operations(amplitude and time scaling)
The three terminals of the FET are known as Gate, Drain, and Source.
It is a voltage controlled device, where the input voltage controls by the output current.
In FET current used to flow between the drain and the source terminal. And this current can be controlled by applying the voltage between the gate and the source terminal.
So this applied voltage generate the electric field within the device and by controlling these electric field we can control the flow of current through the device.
IC Design of Power Management Circuits (IV)Claudia Sin
by Wing-Hung Ki
Integrated Power Electronics Laboratory
ECE Dept., HKUST
Clear Water Bay, Hong Kong
www.ee.ust.hk/~eeki
International Symposium on Integrated Circuits
Singapore, Dec. 14, 2009
EST 130, Transistor Biasing and Amplification.CKSunith1
The attached narrated power point presentation explains the need for biasing in transistor amplifiers and the different biasing arrangements used in transistor circuits. The material will be useful for KTU first year B Tech students who prepare for the subject EST 130, Part B, Basic Electronics Engineering.
The performance obtainable from a single-stage amplifier is often insufficient for many applications, hence several stages may be combined forming a multistage amplifier. These stages are connected in cascade, i.e. output of the first stage is connected to form input of second stage, whose output becomes input of third stage, and so on.
thank u
Hansraj MEENA
Field-effect transistor amplifiers provide an excellent voltage gain with the added feature of high input impedance. They are also low-power-consumption configurations with good frequency range and minimal size and weight.
JFETs, depletion MOSFETs, and MESFETs can be used to design amplifiers having similar voltage gains.
The depletion MOSFET (MESFET) circuit, however, has a much higher input impedance than a similar JFET configuration.
This presentation contains the basic information you need to know about operational amplifier.
I have tried to cover all the basic info. If anything is left out or you have any suggestions i will appreciate it.
Field Effect Transistor, JFET, Metal Oxide Semiconductor Field Effect Transistor, Depletion MOSFET, Enhancement MoSFET, Construction, Basic operation, Regions of Operation, Drain Characteristics, Transfer Characteristics, Biasing, Non-Ideal Characteristics of E-MOSFET, DC Analysis, AC equivalent circuit and Parameters, E-MOSFET as an Amplifier, AC analysis, MOSFET as a Switch, MOSFET as a diode, MOSFET as a resistor, High frequency equivalent circuit, Miller Capacitance, Frequency Response, NMOS and CMOS inverter
Signal and System, CT Signal DT Signal, Signal Processing(amplitude and time ...Waqas Afzal
Signal and System(definitions)
Continuous-Time Signal
Discrete-Time Signal
Signal Processing
Basic Elements of Signal Processing
Classification of Signals
Basic Signal Operations(amplitude and time scaling)
The three terminals of the FET are known as Gate, Drain, and Source.
It is a voltage controlled device, where the input voltage controls by the output current.
In FET current used to flow between the drain and the source terminal. And this current can be controlled by applying the voltage between the gate and the source terminal.
So this applied voltage generate the electric field within the device and by controlling these electric field we can control the flow of current through the device.
IC Design of Power Management Circuits (IV)Claudia Sin
by Wing-Hung Ki
Integrated Power Electronics Laboratory
ECE Dept., HKUST
Clear Water Bay, Hong Kong
www.ee.ust.hk/~eeki
International Symposium on Integrated Circuits
Singapore, Dec. 14, 2009
Oscillator is a mechanical or electronic device works on the principle of oscillation i.e. a periodic fluctuation between two things based on changes in energy. It is of two types; linear oscillators and non linear oscillators. The wave shape and amplitude are determined by the design of the oscillator circuit and choice of component values.
Infinite bus bar is one which keeps constant voltage and frequency although the load varies. Thus it may behave like a voltage source with zero internal impedance and infinite rotational inertia.
33Analog Applications Journal August 2000 Analog and Mixed.docxgilbertkpeters11344
33
Analog Applications Journal August 2000 Analog and Mixed-Signal Products
Design of op amp sine wave oscillators
Criteria for oscillation
The canonical form of a feedback system1 is shown in
Figure 1, and Equation 1 describes the performance of
any feedback system (an amplifier with passive feedback
components constitutes a feedback system).
(1)
Oscillation results from an unstable state; i.e., the feed-
back system can’t find a stable state because its transfer
function can’t be satisfied. Equation 1 becomes unstable
when (1+Aβ) = 0 because A/0 is an undefined state. Thus,
the key to designing an oscillator is to insure that Aβ = –1
(called the Barkhausen criterion), or using complex math
the equivalent expression is Aβ = 1∠ –180°. The –180°
phase shift criterion applies to negative feedback systems,
and 0° phase shift applies to positive feedback systems.
The output voltage of a feedback system heads for
infinite voltage when Aβ = –1. When the output voltage
approaches either power rail, the active devices in the
amplifiers change gain, causing the value of A to change
so the value of Aβ ≠ –1; thus, the
charge to infinite voltage slows down
and eventually halts. At this point one
of three things can occur. First, non-
linearity in saturation or cutoff can cause
the system to become stable and lock
up. Second, the initial charge can cause
the system to saturate (or cut off) and
stay that way for a long time before it
becomes linear and heads for the oppo-
site power rail. Third, the system stays
linear and reverses direction, heading
for the opposite power rail. Alternative
two produces highly distorted oscilla-
tions (usually quasi square waves),
and the resulting oscillators are called
relaxation oscillators. Alternative three
produces sine wave oscillators.
All oscillator circuits were built with
TLV247X op amps, 5% resistors, and
β+
=
A1
A
V
V
IN
OUT
20% capacitors; hence, component tolerances cause differ-
ences between ideal and measured values.
Phase shift in oscillators
The 180° phase shift in the equation Aβ = 1∠ –180° is
introduced by active and passive components. Like any
well-designed feedback circuit, oscillators are made
dependent on passive component phase shift because it is
accurate and almost drift-free. The phase shift contributed
by active components is minimized because it varies with
temperature, has a wide initial tolerance, and is device-
dependent. Amplifiers are selected such that they con-
tribute little or no phase shift at the oscillation frequency.
A single pole RL or RC circuit contributes up to 90°
phase shift per pole, and because 180° is required for
oscillation, at least two poles must be used in oscillator
design. An LC circuit has two poles; thus, it contributes up
to 180° phase shift per pole pair, but LC and LR oscillators
are not considered here because low frequency inductors
are expensive, heavy, bulky, and non-ideal. LC oscillators
are designed in high-frequency applications, be.
Oscillators introduction and its types, phase shift oscillators and wein bridge oscillators,difference between phase shift and wein bridge, frequency stability, oscillators principle and conditions, block diagram of oscillators, block diagram of phase shift oscillators
An electronic oscillator is an electronic circuit that produces a periodic, oscillating electronic signal, often a sine wave or a square wave. Oscillators convert direct current (DC) from a power supply to an alternating current (AC) signal. They are widely used in many electronic devices. Common examples of signals generated by oscillators include signals broadcast by radio and television transmitters, clock signals that regulate computers and quartz clocks, and the sounds produced by electronic beepers and video games.
Oscillators designed to produce a high-power AC output from a DC supply are usually called inverters.
There are two main types of electronic oscillator: the linear or harmonic oscillator and the nonlinear or relaxation oscillator.
Final project report on grocery store management system..pdfKamal Acharya
In today’s fast-changing business environment, it’s extremely important to be able to respond to client needs in the most effective and timely manner. If your customers wish to see your business online and have instant access to your products or services.
Online Grocery Store is an e-commerce website, which retails various grocery products. This project allows viewing various products available enables registered users to purchase desired products instantly using Paytm, UPI payment processor (Instant Pay) and also can place order by using Cash on Delivery (Pay Later) option. This project provides an easy access to Administrators and Managers to view orders placed using Pay Later and Instant Pay options.
In order to develop an e-commerce website, a number of Technologies must be studied and understood. These include multi-tiered architecture, server and client-side scripting techniques, implementation technologies, programming language (such as PHP, HTML, CSS, JavaScript) and MySQL relational databases. This is a project with the objective to develop a basic website where a consumer is provided with a shopping cart website and also to know about the technologies used to develop such a website.
This document will discuss each of the underlying technologies to create and implement an e- commerce website.
NO1 Uk best vashikaran specialist in delhi vashikaran baba near me online vas...Amil Baba Dawood bangali
Contact with Dawood Bhai Just call on +92322-6382012 and we'll help you. We'll solve all your problems within 12 to 24 hours and with 101% guarantee and with astrology systematic. If you want to take any personal or professional advice then also you can call us on +92322-6382012 , ONLINE LOVE PROBLEM & Other all types of Daily Life Problem's.Then CALL or WHATSAPP us on +92322-6382012 and Get all these problems solutions here by Amil Baba DAWOOD BANGALI
#vashikaranspecialist #astrologer #palmistry #amliyaat #taweez #manpasandshadi #horoscope #spiritual #lovelife #lovespell #marriagespell#aamilbabainpakistan #amilbabainkarachi #powerfullblackmagicspell #kalajadumantarspecialist #realamilbaba #AmilbabainPakistan #astrologerincanada #astrologerindubai #lovespellsmaster #kalajaduspecialist #lovespellsthatwork #aamilbabainlahore#blackmagicformarriage #aamilbaba #kalajadu #kalailam #taweez #wazifaexpert #jadumantar #vashikaranspecialist #astrologer #palmistry #amliyaat #taweez #manpasandshadi #horoscope #spiritual #lovelife #lovespell #marriagespell#aamilbabainpakistan #amilbabainkarachi #powerfullblackmagicspell #kalajadumantarspecialist #realamilbaba #AmilbabainPakistan #astrologerincanada #astrologerindubai #lovespellsmaster #kalajaduspecialist #lovespellsthatwork #aamilbabainlahore #blackmagicforlove #blackmagicformarriage #aamilbaba #kalajadu #kalailam #taweez #wazifaexpert #jadumantar #vashikaranspecialist #astrologer #palmistry #amliyaat #taweez #manpasandshadi #horoscope #spiritual #lovelife #lovespell #marriagespell#aamilbabainpakistan #amilbabainkarachi #powerfullblackmagicspell #kalajadumantarspecialist #realamilbaba #AmilbabainPakistan #astrologerincanada #astrologerindubai #lovespellsmaster #kalajaduspecialist #lovespellsthatwork #aamilbabainlahore #Amilbabainuk #amilbabainspain #amilbabaindubai #Amilbabainnorway #amilbabainkrachi #amilbabainlahore #amilbabaingujranwalan #amilbabainislamabad
Event Management System Vb Net Project Report.pdfKamal Acharya
In present era, the scopes of information technology growing with a very fast .We do not see any are untouched from this industry. The scope of information technology has become wider includes: Business and industry. Household Business, Communication, Education, Entertainment, Science, Medicine, Engineering, Distance Learning, Weather Forecasting. Carrier Searching and so on.
My project named “Event Management System” is software that store and maintained all events coordinated in college. It also helpful to print related reports. My project will help to record the events coordinated by faculties with their Name, Event subject, date & details in an efficient & effective ways.
In my system we have to make a system by which a user can record all events coordinated by a particular faculty. In our proposed system some more featured are added which differs it from the existing system such as security.
Water scarcity is the lack of fresh water resources to meet the standard water demand. There are two type of water scarcity. One is physical. The other is economic water scarcity.
Hybrid optimization of pumped hydro system and solar- Engr. Abdul-Azeez.pdffxintegritypublishin
Advancements in technology unveil a myriad of electrical and electronic breakthroughs geared towards efficiently harnessing limited resources to meet human energy demands. The optimization of hybrid solar PV panels and pumped hydro energy supply systems plays a pivotal role in utilizing natural resources effectively. This initiative not only benefits humanity but also fosters environmental sustainability. The study investigated the design optimization of these hybrid systems, focusing on understanding solar radiation patterns, identifying geographical influences on solar radiation, formulating a mathematical model for system optimization, and determining the optimal configuration of PV panels and pumped hydro storage. Through a comparative analysis approach and eight weeks of data collection, the study addressed key research questions related to solar radiation patterns and optimal system design. The findings highlighted regions with heightened solar radiation levels, showcasing substantial potential for power generation and emphasizing the system's efficiency. Optimizing system design significantly boosted power generation, promoted renewable energy utilization, and enhanced energy storage capacity. The study underscored the benefits of optimizing hybrid solar PV panels and pumped hydro energy supply systems for sustainable energy usage. Optimizing the design of solar PV panels and pumped hydro energy supply systems as examined across diverse climatic conditions in a developing country, not only enhances power generation but also improves the integration of renewable energy sources and boosts energy storage capacities, particularly beneficial for less economically prosperous regions. Additionally, the study provides valuable insights for advancing energy research in economically viable areas. Recommendations included conducting site-specific assessments, utilizing advanced modeling tools, implementing regular maintenance protocols, and enhancing communication among system components.
COLLEGE BUS MANAGEMENT SYSTEM PROJECT REPORT.pdfKamal Acharya
The College Bus Management system is completely developed by Visual Basic .NET Version. The application is connect with most secured database language MS SQL Server. The application is develop by using best combination of front-end and back-end languages. The application is totally design like flat user interface. This flat user interface is more attractive user interface in 2017. The application is gives more important to the system functionality. The application is to manage the student’s details, driver’s details, bus details, bus route details, bus fees details and more. The application has only one unit for admin. The admin can manage the entire application. The admin can login into the application by using username and password of the admin. The application is develop for big and small colleges. It is more user friendly for non-computer person. Even they can easily learn how to manage the application within hours. The application is more secure by the admin. The system will give an effective output for the VB.Net and SQL Server given as input to the system. The compiled java program given as input to the system, after scanning the program will generate different reports. The application generates the report for users. The admin can view and download the report of the data. The application deliver the excel format reports. Because, excel formatted reports is very easy to understand the income and expense of the college bus. This application is mainly develop for windows operating system users. In 2017, 73% of people enterprises are using windows operating system. So the application will easily install for all the windows operating system users. The application-developed size is very low. The application consumes very low space in disk. Therefore, the user can allocate very minimum local disk space for this application.
Immunizing Image Classifiers Against Localized Adversary Attacksgerogepatton
This paper addresses the vulnerability of deep learning models, particularly convolutional neural networks
(CNN)s, to adversarial attacks and presents a proactive training technique designed to counter them. We
introduce a novel volumization algorithm, which transforms 2D images into 3D volumetric representations.
When combined with 3D convolution and deep curriculum learning optimization (CLO), itsignificantly improves
the immunity of models against localized universal attacks by up to 40%. We evaluate our proposed approach
using contemporary CNN architectures and the modified Canadian Institute for Advanced Research (CIFAR-10
and CIFAR-100) and ImageNet Large Scale Visual Recognition Challenge (ILSVRC12) datasets, showcasing
accuracy improvements over previous techniques. The results indicate that the combination of the volumetric
input and curriculum learning holds significant promise for mitigating adversarial attacks without necessitating
adversary training.
CFD Simulation of By-pass Flow in a HRSG module by R&R Consult.pptxR&R Consult
CFD analysis is incredibly effective at solving mysteries and improving the performance of complex systems!
Here's a great example: At a large natural gas-fired power plant, where they use waste heat to generate steam and energy, they were puzzled that their boiler wasn't producing as much steam as expected.
R&R and Tetra Engineering Group Inc. were asked to solve the issue with reduced steam production.
An inspection had shown that a significant amount of hot flue gas was bypassing the boiler tubes, where the heat was supposed to be transferred.
R&R Consult conducted a CFD analysis, which revealed that 6.3% of the flue gas was bypassing the boiler tubes without transferring heat. The analysis also showed that the flue gas was instead being directed along the sides of the boiler and between the modules that were supposed to capture the heat. This was the cause of the reduced performance.
Based on our results, Tetra Engineering installed covering plates to reduce the bypass flow. This improved the boiler's performance and increased electricity production.
It is always satisfying when we can help solve complex challenges like this. Do your systems also need a check-up or optimization? Give us a call!
Work done in cooperation with James Malloy and David Moelling from Tetra Engineering.
More examples of our work https://www.r-r-consult.dk/en/cases-en/
Welcome to WIPAC Monthly the magazine brought to you by the LinkedIn Group Water Industry Process Automation & Control.
In this month's edition, along with this month's industry news to celebrate the 13 years since the group was created we have articles including
A case study of the used of Advanced Process Control at the Wastewater Treatment works at Lleida in Spain
A look back on an article on smart wastewater networks in order to see how the industry has measured up in the interim around the adoption of Digital Transformation in the Water Industry.
2. Objectives
Describe the basic concept of an oscillator
Discuss the basic principles of operation of an
oscillator
Analyze the operation of RC oscillators
3. Introduction
Oscillator is an electronic circuit that generates a
periodic waveform on its output without an external
signal source. It is used to convert dc to ac.
Oscillators are circuits that produce a continuous
signal of some type without the need of an input.
These signals serve a variety of purposes.
Communications systems, digital systems
(including computers), and test equipment make use
of oscillators
4. Introduction
An oscillator is a circuit that produces a repetitive signal from
a dc voltage.
The feedback oscillator relies on a positive feedback of the
output to maintain the oscillations.
The relaxation oscillator makes use of an RC timing circuit to
generate a nonsinusoidal signal such as square wave
Sine wave
Square wave
Sawtooth wave
6. Feedback Oscillator Principles
When switch at the amplifier input is open, no oscillation occurs.
Consider Vi,, results in Vo=AVi (after amplifier stage) and Vf = β(AVi)
(after feedback stage)
Feedback voltage Vf = β(AVi) where βA is called loop gain.
In order to maintain Vf = Vi , βA must be in the correct magnitude and
phase.
When the switch is closed and Vi is removed, the circuit will continue
operating since the feedback voltage is sufficient to drive the amplifier and
feedback circuit, resulting in proper input voltage to sustain the loop
Feedback circuit used as an oscillator
7. Basic principles for oscillation
An oscillator is an amplifier with positive feedback.
A
β
V e
V f
V s
V o
+
(1)fse VVV +=
(2)of βVV =
( ) ( ) (3)osfseo βVVAVVAAVV +=+==
8. Basic principles for oscillation
The closed loop gain is:
( ) ( )osfs
eo
βVVAVVA
AVV
+=+=
=
oso VAAVV β+=
( ) so AVVA =− β1
( )Aβ
A
V
V
A
s
o
f
−
=≡
1
9. Basic principles for oscillation
In general A and β are functions of frequency and
thus may be written as;
is known as loop gain
( ) ( ) ( )
( ) ( )sβsA1
sA
s
V
V
sA
s
o
f
−
==
( ) ( )sβsA
10. Basic principles for oscillation
Writing the loop gain becomes;
Replacing s with jω
and
( ) ( ) ( )ss βAsT =
( ) ( )
( )sT1
sA
sAf
−
=
( ) ( )
( )jωT1
jωA
jωAf
−
=
( ) ( ) ( )jωβjωAjωT =
11. Basic principles for oscillation
At a specific frequency f0
At this frequency, the closed loop gain;
will be infinite, i.e. the circuit will have finite output
for zero input signal - oscillation
( ) ( ) ( ) 1000 == jωβjωAjωT
( ) ( )
( ) ( )00
0
0
jωβjωA1
jωA
jωAf
−
=
12. Basic principles for oscillation
Thus, the condition for sinusoidal oscillation of
frequency f0 is;
This is known as Barkhausen criterion.
The frequency of oscillation is solely determined by
the phase characteristic of the feedback loop – the
loop oscillates at the frequency for which the phase
is zero.
( ) ( ) 100 =jωβjωA
13. Basic principles for oscillation
The feedback oscillator is widely used for
generation of sine wave signals.
The positive (in phase) feedback arrangement
maintains the oscillations.
The feedback gain must be kept to unity to keep the
output from distorting.
14. Basic principles for oscillation
In phase
Noninverting
amplifier
V f V o
A v
Feedback
circuit
15. Design Criteria for Oscillators
1. The magnitude of the loop gain must be unity or
slightly larger
– Barkhaussen criterion
2. Total phase shift,φ of loop gain must be 0 ° or 360°
1=Aβ
16. RC Oscillators
RC feedback oscillators are generally limited to
frequencies of 1 MHz or less.
The types of RC oscillators that we will discuss are
the Wien-bridge and the phase-shift
17. Wien-bridge Oscillator
It is a low frequency oscillator which ranges from a
few kHz to 1 MHz.
The Wien-bridge oscillator schematic drawn in two different but equivalent ways
21. Wien-bridge Oscillator
Since at the frequency of oscillation, T(jω) must be
real (for zero phase condition), the imaginary
component must be zero;
Which gives us;
0
1
0
0 =+
RCj
RCj
ω
ω
RC
1
0 =ω
22. Wien-bridge Oscillator
From the previous equation;
the magnitude condition is;
or
+=
3
1
11
1
2
R
R
( )
( )
++
+=
RC/jRCjR
R
jT
001
2
0
13
1
1
ωω
ω
2
1
2
=
R
R
To ensure oscillation, the ratio R2/R1 must be
slightly greater than 2.
23. Wien-bridge Oscillator
With the ratio;
then;
K = 3 ensures the loop gain of unity – oscillation
K > 3 : growing oscillations
K < 3 : decreasing oscillations
2
1
2
=
R
R
31
1
2
=+≡
R
R
K
24. T i me
0 s 0 . 2 ms 0 . 4 ms 0 . 6 ms 0 . 8 ms 1 . 0 ms
V( R5 : 2 )
- 4 . 0 V
0 V
4 . 0 V
G = 3
T i me
0 s 0 . 2 ms 0 . 4 ms 0 . 6 ms 0 . 8 ms 1 . 0 ms
V( R5 : 2 )
- 4 . 0 V
0 V
4 . 0 V
G = 2.9
T i me
0 s 1 0 0 u s 2 0 0 u s 3 0 0 u s 4 0 0 u s 5 0 0 u s 6 0 0 u s
V( R5 : 2 )
- 2 0 V
0 V
2 0 V
G = 3.05
25. Ideal vs. Non-Ideal Op-Amp
Red is the ideal op-amp.
Green is the 741 op-amp.
T i me
0 s 0 . 2 ms 0 . 4 ms 0 . 6 ms 0 . 8 ms 1 . 0 ms
V( R1 : 2 ) V( R5 : 2 )
- 4 . 0 V
0 V
4 . 0 V
26. Start-Up Conditions
-Initially, the closed-loop gain of the amplifier itself must be
more than 3 until the output signal builds up to a desired
level.
-Ideally, the gain of the amplifier must then decrease to 3 so
that the total gain around the loop is 1 and the output signal
stays at the desired level, thus sustaining oscillation.
- This is illustrated in Figure on next slide.
27. In order to keep the oscillations constant, Hewlett Packard put a positive
temperature co-effient lamp in the circuit at grounding resistor.
The resistance of the lamp is strongly dependent on the temperature of
the filament of the bulb. If the amplitude is too high, the current becomes
large and the resistance of the lamp increases, thereby reducing the gain.
If the amplitude is low, the lamp cools, the resistance decreases, and the
loop gain increases.
28. The feedback fraction at fR in this circuit is one-third:
A must be > 3 for oscillations to start. After that, A must
be reduced to avoid driving the op amp to VSAT.
in
out
B =
in
out =
1
3
R2 ≅ 2R1
R1
A = 1 +
R2
R1
One solution is a positive
temperature coefficient
device here to decrease gain.
30. Making the Oscillations Steady
Add a diode
network to keep
circuit around G =
3
If G = 3, diodes are
off
31. Making the Oscillations Steady
When output
voltage is positive,
D1 turns on and R9
is switched in
parallel causing G
to drop
32. Making the Oscillations Steady
When output
voltage is negative,
D2 turns on and R9
is switched in
parallel causing G
to drop
33. Phase-Shift Oscillator
Phase-shift oscillator
The phase shift oscillator utilizes three RC circuits to provide
180º phase shift that when coupled with the 180º of the op-amp
itself provides the necessary feedback to sustain oscillations.
34.
35. Phase-Shift Oscillator
vi
v1
v1
v2
v2 v3
vo
C
C
C
R R
R
R2
iv
sRC
sRC
v
+
=
1
1
iv
sRC
sRC
v
2
2
1
+
=
iv
sRC
sRC
v
3
3
1
+
=
3
3
1
)(
+
==
sRC
sRC
s
v
v
i
β
R
R
v
v
sA o 2
3
)( ==
36. Phase-Shift Oscillator
Loop gain, T(s):
Set s=jw
3
2
1
)()()(
+
==
sRC
sRC
R
R
ssAsT β
[ ] [ ]222222
2
2
3
2
331
))((
)(
1
)(
CRRCjCR
RCRCj
R
R
jT
RCj
RCj
R
R
jT
ωωω
ωω
ω
ω
ω
ω
−+−
−=
+
=
37. Phase-Shift Oscillator
To satisfy condition T(jwo)=1, real component must
be zero since the numerator is purely imaginary.
the oscillation frequency:
Apply wo in equation:
To satisfy condition T(jwo)=1
031 222
=− CRω
RC3
1
0 =ω
[ ]
−=
−+
−=
8
1
)3/1(3)3/(0
)3/1)(3/(
)( 22
R
R
j
j
R
R
jT oω
82
=
R
R The gain greater than 8, the circuit will
spontaneously begin oscillating & sustain
oscillations
38. 62
1
RC
f
π
=
where β = 1/29 and the phase-shift is 180o
For the loop gain βA to be greater than unity, the gain of the amplifier
stage must be greater than 29.
If we measure the phase-shift per RC section, each section would not
provide the same phase shift (although the overall phase shift is 180o
).
In order to obtain exactly 60o
phase shift for each of three stages,
voltage follower stages would be needed for each RC section.
when voltage follower is not used b/w RC stages
40. LC Oscillators
Use transistors and LC tuned circuits or crystals in
their feedback network.
For hundreds of kHz to hundreds of MHz frequency
range.
Examine Hartley, Colpitts and crystal oscillator.
41. Hartley oscillator
Hartley oscillator was invented in 1915 by the American
engineer Ralph Hartley while he was working for the Western
Electric company. The original design was tube based and he
got a patent for it in the year 1920.
In Hartley oscillator the oscillation frequency is determined
by a tank circuit comprising of two inductors and one
capacitor. The inductors are connected in series and the
capacitor is connected across them in parallel.
Hartley oscillators are commonly used in radio frequency (RF)
oscillator applications and the recommended frequency
range is from 20KHz to 30MHz.
42. In the circuit diagram resistors
R1 and R2 give a potential
divider bias for the transistor
Q1.
Ce is the emitter by pass
capacitor, which by-passes the
amplified AC signals. If the
emitter by-pass capacitor not
there, the amplified ac voltages
will drop across Re and it will get
added on to the base-emitter
voltage of Q1 and will disrupt
the biasing conditions.
43. Cin is the input DC decoupling
capacitor while Cout is the output DC
decoupling capacitor. The task of a DC
decoupling capacitor is to prevent DC
voltages from reaching the succeeding
stage. Inductor L1, L2 and capacitor C1
forms the tank circuit.
When the power supply is switched ON
the transistor starts conducting and
the collector current increases. As a
result the capcitor C1 starts charging
and when the capacitor C1 is fully
charged it starts discharging through
coil L1. This charging and discharging
creates a series of damped oscillations
in the tank circuit and it is the key.
44. The oscillations produced in the tank circuit
is coupled (fed back) to the base of Q1 and it
appears in the amplified form across the
collector and emitter of the transistor. The
output voltage of the transistor (voltage
across collector and emitter) will be in phase
with the voltage across inductor L1. Since
the junction of two inductors is grounded,
the voltage across L2 will be 180° out of
phase to that of the voltage across L1.
The voltage across L2 is actually fed back to
the base of Q1. the feed back voltage is 180°
out of phase with the transistor and also the
transistor itself will create another 180°
phase difference. So the total phase
difference between input and output is 360°
and it is very important condition for
creating sustained oscillations.
45. Frequency of the Hartley oscillator.
The frequency “F” of a Hartley oscillator can be expressed using the equation;
C is the capacitance of the capacitor C1 in the tank circuit.
L = L1+L2, the effective series inductance of the inductors L1 and L2 in
the tank circuit.
Here the coils L1 and L2 are assumed to be winded on different cores. If
they are winded on a single core then L=L1+L2+2M where M is the
mutual inductance between the two coils.
46. Colpitts Oscillator
Colpitts oscillator was invented by American
scientist Edwin Colpitts in 1918. It is another type of
sinusoidal LC oscillator which has a lot of
applications. The Colpitts oscillator can be realized
using transistors, FETs or op-amp.
In Colpitts oscillator the tank circuit consists of two
capacitors in series and an inductor connected in
parallel to the serial combination. The frequency of
the oscillations are determined by the value of the
capacitors and inductor in the tank circuit.
47. Collpitts oscillator is generally used in RF
applications and the typical operating range is
20KHz to 300MHz.
In Colpitts oscillator, the capacitive voltage divider
setup in the tank circuit works as the feed back
source and this arrangement gives better frequency
stability.
48. In the circuit diagram
resistors R1 and R2 gives a
voltage divider biasing to the
transistor. Resistor R4 limits
the collector current of the
transistor.
Cin is the input DC
decoupling capacitor while
Cout is the output decoupling
capacitor. Ce is the emitter
by-pass capacitor. Job of the
emitter by-pass capacitor is
to by-pass the amplified AC
signals from dropping across
Re.
49. If the emitter by-pass
capacitor is not there, the
amplified AC signal would
have dropped across Re
and it may have altered
the DC biasing conditions
of the transistor and the
result will be reduced gain.
Capacitors C1, C2 and
inductor L1 forms the tank
circuit. Feedback to the
base of transistor is taken
from the junction of
Capacitor C2 and inductor
L1 in the tank circuit.
50. When power supply is switched
ON, capacitors C1 and C2 starts
charging. When they are fully
charged they starts discharging
through the inductor L1. When
the capacitors are fully
discharged, the electrostatic
energy stored in the capacitors
gets transferred to the inductor
as magnetic flux.
The inductor starts discharging
and capacitors gets charged
again. This transfer of energy
back and forth between
capacitors and inductor is the
basis of oscillation.
51. Voltage across C2 is phase
opposite to that of the voltage
across the C1 and it is the voltage
across C2 that is fed back to the
transistor.
The feedback signal at the base of
transistor appears in the
amplified form across the
collector and emitter of the
transistor.
The energy lost in the tank circuit
is compensated by the transistor
and the oscillations are sustained.
52. The tank circuit produces 180°
phase shift and the transistor itself
produces another 180° phase shift.
That means the input and output
are in phase and it is a necessary
condition of positive feedback for
maintaining sustained oscillations.
The frequency of oscillations of the
Colpitts oscillator can be
determined using the equation.
53. Where L is the inductance of the inductor in the tank circuit and C is the
effective capacitance of the capacitors in the tank circuit.
If C1 and C2 are the individual capacitance, then the effective capacitance
of the serial combination C= (C1C2)/(C1+C2). By using ganged variable
capacitors in place of C1 and C2, the Colpitts oscillator can be made
variable.
Advantages of Colpitts oscillator.
Main advantage of Colpitts oscillator over Hartley oscillator is the
improved performance in the high frequency region. This is because the
capacitors provide a low reactance path for the high frequency signals and
thus the output signals in the high frequency domain will be more
sinusoidal. Due to the excellent performance in the high frequency region,
the Colpitts oscillator can be even used in microwave applications.
55. Crystal Oscillator
Most communications and digital applications require the
use of oscillators with extremely stable outputextremely stable output. Crystal
oscillators are invented to overcome the output fluctuationoutput fluctuation
experienced by conventional oscillators.
Crystals used in electronic applications consist of a quartz
wafer held between two metal plates and housed in a
package as shown in Fig. (a) and (b).
56. In crystal oscillators, the usual electrical resonant circuit is
replaced by a mechanically vibrating crystal. The crystal
(usually quartz) has a high degree of stability in holding con
stant at whatever frequency the crystal is originally cut to
operate.
The crystal oscillators are, therefore, used whenever great
stability is needed, for example, in communication trans
mitters, and receivers, digital clocks etc.
A quartz crystal exhibits a very important property known
as piezo-electric effect.
57. Crystal Oscillator
Piezoelectric Effect
The quartz crystal is made of silicon oxide (SiO2) and
exhibits a property called the piezoelectricpiezoelectric
When a alternating voltage is applied across the crystal, it
vibrates at the frequency of the applied voltage.
The thinner the crystal, higher its frequency of vibration.
This phenomenon is called piezoelectric effect.
58. Crystal Oscillator
Characteristic of Quartz
Crystal
The crystal can have two resonant
frequencies;
One is the series resonance frequency f1
which occurs when XL = XC. At this
frequency, crystal offers a very low
impedance to the external circuit where
Z = R.
The other is the parallel resonance (or
antiresonance) frequency f2 which
occurs when reactance of the series leg
equals the reactance of CM. At this
frequency, crystal offers a very high
impedance to the external circuit
R
L
C
CM
59. Since, in series resonance,
the crystal impedance is
smallest, it can cause the
crystal to provide the
largest positive feedback.
CM
R
L
C
CM
60. Crystal Pierce Oscillator
To excite a crystal for operation in the
seriesresonant mode it may be
connected as a series element in a
feedback path, as shown in figure.
In this mode of operation the crystal
impedance is the smallest and the
amount of positive feedback is the
largest.
Resistor R1, R2 and RE provide a
voltagedivider stabilized dc bias
circuit, the capacitor CE provides ac
bypass of the emitter resistor Re and
the radiofrequency coil (RFC)
provides for dc bias while decoupling
any ac signal on the power lines from
affecting the output signal.
61. The coupling capacitor Cc has negligible
impedance at the circuit operating frequency
but blocks any dc between collector and base.
The resulting circuit frequency of oscillations
is set by the series resonant frequency of the
crystal.
Variations in supply voltage, transistor
parameters, etc. have no effect on the circuit
operating frequency which is held stabilized by
the crystal.
The circuit frequency stability is set by the
crystal frequency stability, which is good.
62. Colpitts Quartz Crystal Oscillator
The design of a Crystal Oscillator is very
similar to the design of the Colpitts
Oscillator except that the LC tank
circuit that provides the feedback
oscillations has been replaced by a
quartz crystal.
These types of Crystal Oscillators are
designed around the common emitter
amplifier stage of a Colpitts Oscillator.
The input signal to the base of the
transistor is inverted at the transistors
output. The output signal at the
collector is then taken through a 180o
phase shifting network which includes
the crystal operating in a series
resonant mode.
63. The output is also fed back to the
input which is “inphase” with the
input providing the necessary
positive feedback.
Resistors, R1 and R2 bias the
resistor in a Class A type
operation while resistor Re is
chosen so that the loop gain is
slightly greater than unity.
64. The circuit diagram of the
Colpitts Crystal Oscillator circuit
shows that capacitors, C1 and C2
shunt the output of the transistor
which reduces the feedback
signal.
The output amplitude should be
kept low in order to avoid
excessive power dissipation in
the crystal otherwise could
destroy itself by excessive
vibration.
Editor's Notes
G must be set a little higher than 3 with the diode configuration so that the diodes will work properly.
This voltage drop across Re gets added to the Vbe of the transistor and the bias settings will be altered..