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Ariel Moss EE 254 Project 6 12/6/13 Project 6: Oscillator Circuits The
Ariel Moss EE 254 Project 6 12/6/13 Project 6: Oscillator Circuits The purpose of this experiment was to design two oscillator circuits: a Wien-Bridge oscillator at 3 kHz oscillation and a Hartley Oscillator using a BJT at 5 kHz oscillation. The first oscillator designed was a Wien-Bridge oscillator (Figure 1). Before designing the circuit, some background information was collected. An input signal sent to the non-inverting terminal with a parallel and series RC configuration as well as two resistors connected in inverting circuit types to achieve gain. The circuit works because the RC network is connected to the positive feedback part of the amplifier, and has a zero phase shift at a frequency. At the oscillation frequency, the voltages applied to both the inputs will be in phase, which causes the positive and negative feedback to cancel out. This causes the signal to oscillate. To calculate the time constant given the cutoff frequency, Calculation 1 was used. The capacitor was chosen to be 0.1µF, which left the input, series, and parallel resistors to be 530Ω and the output resistor to be 1.06 kHz. The signal was then simulated in PSPICE, and after adjusting the output resistor to 1.07Ω, the circuit produced a desired simulation with time spacing of .000335 seconds, which was very close to the calculated time spacing. (Figures 2-3 and Calculations 2-3). R2 1.07k 10Vdc V1 R1 LM741 4 2 V- 1 - OS1 530 6 OUT 0 3 5 + 7 OS2 U1 V+ V2 10Vdc Cs Rs 0.1u 530 Cp Rp 0.1u 530 0 Figure 2: Wien-Bridge Oscillator built in PSPICE Ariel Moss EE 254 Project 6 12/6/13 Figure 3: Simulation of circuit Next the circuit was built and tested. -
Analysis of BJT Colpitts Oscillators - Empirical and Mathematical Methods for Predicting Behavior Nicholas Jon Stave Marquette University
Marquette University e-Publications@Marquette Master's Theses (2009 -) Dissertations, Theses, and Professional Projects Analysis of BJT Colpitts Oscillators - Empirical and Mathematical Methods for Predicting Behavior Nicholas Jon Stave Marquette University Recommended Citation Stave, Nicholas Jon, "Analysis of BJT Colpitts sO cillators - Empirical and Mathematical Methods for Predicting Behavior" (2019). Master's Theses (2009 -). 554. https://epublications.marquette.edu/theses_open/554 ANALYSIS OF BJT COLPITTS OSCILLATORS – EMPIRICAL AND MATHEMATICAL METHODS FOR PREDICTING BEHAVIOR by Nicholas J. Stave, B.Sc. A Thesis submitted to the Faculty of the Graduate School, Marquette University, in Partial Fulfillment of the Requirements for the Degree of Master of Science Milwaukee, Wisconsin August 2019 ABSTRACT ANALYSIS OF BJT COLPITTS OSCILLATORS – EMPIRICAL AND MATHEMATICAL METHODS FOR PREDICTING BEHAVIOR Nicholas J. Stave, B.Sc. Marquette University, 2019 Oscillator circuits perform two fundamental roles in wireless communication – the local oscillator for frequency shifting and the voltage-controlled oscillator for modulation and detection. The Colpitts oscillator is a common topology used for these applications. Because the oscillator must function as a component of a larger system, the ability to predict and control its output characteristics is necessary. Textbooks treating the circuit often omit analysis of output voltage amplitude and output resistance and the literature on the topic often focuses on gigahertz-frequency chip-based applications. Without extensive component and parasitics information, it is often difficult to make simulation software predictions agree with experimental oscillator results. The oscillator studied in this thesis is the bipolar junction Colpitts oscillator in the common-base configuration and the analysis is primarily experimental. The characteristics considered are output voltage amplitude, output resistance, and sinusoidal purity of the waveform. -
Oscillator Design
Oscillator Design •Introduction –What makes an oscillator? •Types of oscillators –Fixed frequency or voltage controlled oscillator –LC resonator –Ring Oscillator –Crystal resonator •Design of oscillators –Frequency control, stability –Amplitude limits –Buffered output –isolation –Bias circuits –Voltage control –Phase noise 1 Oscillator Requirements •Power source •Frequency-determining components •Active device to provide gain •Positive feedback LC Oscillator fr = 1/ 2p LC Hartley Crystal Colpitts Clapp RC Wien-Bridge Ring 2 Feedback Model for oscillators x A(jw) i xo A (jw) = A f 1 - A(jω)×b(jω) x = x + x d i f Barkhausen criteria x f A( jw)× b ( jω) =1 β Barkhausen’scriteria is necessary but not sufficient. If the phase shift around the loop is equal to 360o at zero frequency and the loop gain is sufficient, the circuit latches up rather than oscillate. To stabilize the frequency, a frequency-selective network is added and is named as resonator. Automatic level control needed to stabilize magnitude 3 General amplitude control •One thought is to detect oscillator amplitude, and then adjust Gm so that it equals a desired value •By using feedback, we can precisely achieve GmRp= 1 •Issues •Complex, requires power, and adds noise 4 Leveraging Amplifier Nonlinearity as Feedback •Practical trans-conductance amplifiers have saturating characteristics –Harmonics created, but filtered out by resonator –Our interest is in the relationship between the input and the fundamental of the output •As input amplitude is increased –Effective gain from input -
Lec#12: Sine Wave Oscillators
Integrated Technical Education Cluster Banna - At AlAmeeria © Ahmad El J-601-1448 Electronic Principals Lecture #12 Sine wave oscillators Instructor: Dr. Ahmad El-Banna 2015 January Banna Agenda - © Ahmad El Introduction Feedback Oscillators Oscillators with RC Feedback Circuits 1448 Lec#12 , Jan, 2015 Oscillators with LC Feedback Circuits - 601 - J Crystal-Controlled Oscillators 2 INTRODUCTION 3 J-601-1448 , Lec#12 , Jan 2015 © Ahmad El-Banna Banna Introduction - • An oscillator is a circuit that produces a periodic waveform on its output with only the dc supply voltage as an input. © Ahmad El • The output voltage can be either sinusoidal or non sinusoidal, depending on the type of oscillator. • Two major classifications for oscillators are feedback oscillators and relaxation oscillators. o an oscillator converts electrical energy from the dc power supply to periodic waveforms. 1448 Lec#12 , Jan, 2015 - 601 - J 4 FEEDBACK OSCILLATORS FEEDBACK 5 J-601-1448 , Lec#12 , Jan 2015 © Ahmad El-Banna Banna Positive feedback - • Positive feedback is characterized by the condition wherein a portion of the output voltage of an amplifier is fed © Ahmad El back to the input with no net phase shift, resulting in a reinforcement of the output signal. Basic elements of a feedback oscillator. 1448 Lec#12 , Jan, 2015 - 601 - J 6 Banna Conditions for Oscillation - • Two conditions: © Ahmad El 1. The phase shift around the feedback loop must be effectively 0°. 2. The voltage gain, Acl around the closed feedback loop (loop gain) must equal 1 (unity). 1448 Lec#12 , Jan, 2015 - 601 - J 7 Banna Start-Up Conditions - • For oscillation to begin, the voltage gain around the positive feedback loop must be greater than 1 so that the amplitude of the output can build up to a desired level. -
Spectrum Analyzer Circuits 062-1055-00
Circuit Concepts BOOKS IN THIS SERIES: Circuit Concepts Power Supply Circuits 062-0888-01 Oscilloscope Cathode-Ray Tubes 062-0852-01 Storage Cathode-Ray Tubes and Circuits 062-0861-01 Television Waveform Processing Circuits 062-0955-00 Digital Concepts 062-1030-00 Spectrum Analyzer Circuits 062-1055-00 Oscilloscope Trigger Circuits 062-1056-00 Sweep Generator Circuits 062-1098-00 Measurement Concepts Information Display Concepts 062-1005-00 Semiconductor Devices 062-1009-00 Television System Measurements 062-1064-00 Spectrum Analyzer Measurements 062-1070-00 Engine Analysis 062-1074-00 Automated Testing Systems 062-1106-00 SPECTRUM ANALYZER CIRCUITS BY MORRIS ENGELSON Significant Contributions by GORDON LONG WILL MARSH CIRCUIT CONCEPTS FIRST EDITION, SECOND PRINTING, AUGUST 1969 062-1055-00 ©TEKTRONIX, INC.; 1969 BEAVERTON, OREGON 97005 ALL RIGHTS RESERVED CONTENTS 1 BACKGROUND MATERIAL 1 2 COMPONENTS AND SUBASSEMBLIES 23 3 FILTERS 55 4 AMPLI FI'ERS 83 5 MIXERS 99 6 OSCILLATORS 121 7 RF ATTENNATORS 157 BIBLIOGRAPHY 171 INDEX 175 1 BACKGROUND MATERIAL Many spectrum analyzer circuits are based on principles with which most engineers may not be familiar. It is the purpose of this chapter to review some of this specialized background material. This review is not intended to be either complete or rigorous. Those desiring a more complete discussion are referred to the basic references and the bibliography. TRANSMISSION LINES* At low frequencies the basic circuit elements are lumped. At higher frequencies, however, where the size of circuit elements is comparable to a wavelength, lumped elements can not be used easily, if at all. This accounts for the extensive use of distributed circuits at higher frequencies. -
AN826 Crystal Oscillator Basics and Crystal Selection for Rfpic™ And
AN826 Crystal Oscillator Basics and Crystal Selection for rfPICTM and PICmicro® Devices • What temperature stability is needed? Author: Steven Bible Microchip Technology Inc. • What temperature range will be required? • Which enclosure (holder) do you desire? INTRODUCTION • What load capacitance (CL) do you require? • What shunt capacitance (C ) do you require? Oscillators are an important component of radio fre- 0 quency (RF) and digital devices. Today, product design • Is pullability required? engineers often do not find themselves designing oscil- • What motional capacitance (C1) do you require? lators because the oscillator circuitry is provided on the • What Equivalent Series Resistance (ESR) is device. However, the circuitry is not complete. Selec- required? tion of the crystal and external capacitors have been • What drive level is required? left to the product design engineer. If the incorrect crys- To the uninitiated, these are overwhelming questions. tal and external capacitors are selected, it can lead to a What effect do these specifications have on the opera- product that does not operate properly, fails prema- tion of the oscillator? What do they mean? It becomes turely, or will not operate over the intended temperature apparent to the product design engineer that the only range. For product success it is important that the way to answer these questions is to understand how an designer understand how an oscillator operates in oscillator works. order to select the correct crystal. This Application Note will not make you into an oscilla- Selection of a crystal appears deceivingly simple. Take tor designer. It will only explain the operation of an for example the case of a microcontroller. -
AN-400 a Study of the Crystal Oscillator for CMOS-COPS
AN-400 A Study Of The Crystal Oscillator For CMOS-COPS Literature Number: SNOA676 A Study of the Crystal Oscillator for CMOS-COPS AN-400 National Semiconductor A Study of the Crystal Application Note 400 Oscillator for Abdul Aleaf August 1986 CMOS-COPSTM INTRODUCTION TABLE I The most important characteristic of CMOS-COPS is its low A. Crystal oscillator vs. external squarewave COP410C power consumption. This low power feature does not exist change in current consumption as a function of frequen- in TTL and NMOS systems which require the selection of cy and voltage, chip held in reset, CKI is d4. low power IC's and external components to reduce power I e total power supply current drain (at VCC). consumption. Crystal The optimization of external components helps decrease the power consumption of CMOS-COPS based systems Inst. cyc. V f ImA even more. CC ckI time A major contributor to power consumption is the crystal os- 2.4V 32 kHz 125 ms 8.5 cillator circuitry. m Table I presents experimentally observed data which com- 5.0V 32 kHz 125 s83 pares the current drain of a crystal oscillator vs. an external 2.4V 1 MHz 4 ms 199 squarewave clock source. 5.0V 1 MHz 4 ms 360 The main purpose of this application note is to provide ex- perimentally observed phenomena and discuss the selec- External Squarewave tion of suitable oscillator circuits that cover the frequency Inst. cyc. range of the CMOS-COPS. V f I CC ckI time Table I clearly shows that an unoptimized crystal oscillator draws more current than an external squarewave clock. -
Oscillator Circuits
Oscillator Circuits 1 II. Oscillator Operation For self-sustaining oscillations: • the feedback signal must positive • the overall gain must be equal to one (unity gain) 2 If the feedback signal is not positive or the gain is less than one, then the oscillations will dampen out. If the overall gain is greater than one, then the oscillator will eventually saturate. 3 Types of Oscillator Circuits A. Phase-Shift Oscillator B. Wien Bridge Oscillator C. Tuned Oscillator Circuits D. Crystal Oscillators E. Unijunction Oscillator 4 A. Phase-Shift Oscillator 1 Frequency of the oscillator: f0 = (the frequency where the phase shift is 180º) 2πRC 6 Feedback gain β = 1/[1 – 5α2 –j (6α – α3) ] where α = 1/(2πfRC) Feedback gain at the frequency of the oscillator β = 1 / 29 The amplifier must supply enough gain to compensate for losses. The overall gain must be unity. Thus the gain of the amplifier stage must be greater than 1/β, i.e. A > 29 The RC networks provide the necessary phase shift for a positive feedback. They also determine the frequency of oscillation. 5 Example of a Phase-Shift Oscillator FET Phase-Shift Oscillator 6 Example 1 7 BJT Phase-Shift Oscillator R′ = R − hie RC R h fe > 23 + 29 + 4 R RC 8 Phase-shift oscillator using op-amp 9 B. Wien Bridge Oscillator Vi Vd −Vb Z2 R4 1 1 β = = = − = − R3 R1 C2 V V Z + Z R + R Z R β = 0 ⇒ = + o a 1 2 3 4 1 + 1 3 + 1 R4 R2 C1 Z2 R4 Z2 Z1 , i.e., should have zero phase at the oscillation frequency When R1 = R2 = R and C1 = C2 = C then Z + Z Z 1 2 2 1 R 1 f = , and 3 ≥ 2 So frequency of oscillation is f = 0 0 2πRC R4 2π ()R1C1R2C2 10 Example 2 Calculate the resonant frequency of the Wien bridge oscillator shown above 1 1 f0 = = = 3120.7 Hz 2πRC 2 π(51×103 )(1×10−9 ) 11 C. -
A 20 Mv Colpitts Oscillator Powered by a Thermoelectric Generator
A 20 mV Colpitts Oscillator powered by a thermoelectric generator Fernando Rangel de Sousa∗, Marcio Bender Machado∗†, Carlos Galup-Montoro ∗ ∗Integrated Circuits Laboratory-LCI Federal University of Santa Catarina-UFSC Florianopolis-SC, Brazil, Tel.: +55-48-3721-7640 Email:[email protected] † Sul-Rio-Grandense Federal Institute Charqueadas-RS, Brazil Email:[email protected] Abstract—In this paper, we present a MOSFET-based Colpitts of around 13 mV , only seven milivolts far from the voltage oscillator based on a “zero-threshold” transistor operating at a supply value for which the circuit sustained oscillations at 130 supply voltage below 20 mV. The circuit was carefully analyzed mV(peak-to-peak)/97 kHz. Moreover, the circuit was powered and expressions relating the start-up conditions and the voltage supply, as well as the oscillation frequency were developed. by a thermoelectric generator which supplied a DC voltage of Measurement results obtained on a discrete prototype confirmed around 22 mV when it was installed on the arm of a person the low-voltage operation of the oscillator, which sustained in a 24oC room. oscillations of 130 mV (peak-to-peak) at 97 kHz when the voltage supply was 19.8 mV. The circuit was also powered from a II. COLPITTS OSCILLATOR thermoelectric generator (TEG) connected to a persons arm in a room with temperature of 24oC room. Under these conditions, A Colpitts oscillator can be broken in two main blocks : i) the TEG supplied 22 mV and the circuit operated as expected. a potentially unstable one-port and ii) a load network, as it is shown in Fig. -
A Study of Phase Noise in Colpitts and LC-Tank CMOS Oscillators
Downloaded from orbit.dtu.dk on: Oct 02, 2021 A study of phase noise in colpitts and LC-tank CMOS oscillators Andreani, Pietro; Wang, Xiaoyan; Vandi, Luca; Fard, A. Published in: I E E E Journal of Solid State Circuits Link to article, DOI: 10.1109/JSSC.2005.845991 Publication date: 2005 Document Version Publisher's PDF, also known as Version of record Link back to DTU Orbit Citation (APA): Andreani, P., Wang, X., Vandi, L., & Fard, A. (2005). A study of phase noise in colpitts and LC-tank CMOS oscillators. I E E E Journal of Solid State Circuits, 40(5), 1107-1118. https://doi.org/10.1109/JSSC.2005.845991 General rights Copyright and moral rights for the publications made accessible in the public portal are retained by the authors and/or other copyright owners and it is a condition of accessing publications that users recognise and abide by the legal requirements associated with these rights. Users may download and print one copy of any publication from the public portal for the purpose of private study or research. You may not further distribute the material or use it for any profit-making activity or commercial gain You may freely distribute the URL identifying the publication in the public portal If you believe that this document breaches copyright please contact us providing details, and we will remove access to the work immediately and investigate your claim. IEEE JOURNAL OF SOLID-STATE CIRCUITS, VOL. 40, NO. 5, MAY 2005 1107 A Study of Phase Noise in Colpitts and LC-Tank CMOS Oscillators Pietro Andreani, Member, IEEE, Xiaoyan Wang, Luca Vandi, and Ali Fard Abstract—This paper presents a study of phase noise in CMOS phase noise itself. -
Hertly Oscillator
Name of Experiment: Construct a Hartley Oscillator and Determine its Frequency of Oscillation. Objectives: After completing this experiment we would able to learn: 1. How a tank circuit operates. 2. How it produces sinusoidal signal. 3. How a Hartley Oscillator operates. History: The Hartley oscillator was invented by Ralph V.L. Hartley while he was working for the Research Laboratory of the Western Electric Company. Hartley invented and patented the design in 1915 while overseeing Bell System's transatlantic radiotelephone tests; it was awarded patent number 1,356,763 on October 26, 1920. Theory: A Hartley oscillator is essentially any configuration that uses two series-connected coils and a single capacitor (see Colpitts oscillator for the equivalent oscillator using two capacitors and one coil). Although there is no requirement for there to be mutual coupling between the two coil segments, the circuit is usually implemented this way. It is made up of the following: • Two inductors in series, which need not be mutual • One tuning capacitor Advantages of the Hartley oscillator include: • The frequency may be adjusted using a single variable capacitor • The output amplitude remains constant over the frequency range • Either a tapped coil or two fixed inductors are needed Disadvantages include; Harmonic-rich content if taken from the amplifier and not directly from the LC circuit The basic LC Oscillator circuit is that they have no means of controlling the amplitude of the oscillations and also, it is difficult to tune the oscillator to the required frequency. If the cumulative electromagnetic coupling between L1 and L2 is too small there would be insufficient feedback and the oscillations would eventually die away to zero. -
RF Oscillators
Islamic University of Gaza Communications Engineering I (Lab.) Faculty of Engineering Prepared by: Electrical Department Eng. Mohammed K. Abu Foul Experiment # (1) RF Oscillators Prelab: 1. Describe the conditions of oscillation that the Colpitts oscillator and Hartley oscillator can operate in a proper way. 2. Try to design a Hartley oscillator as shown in figure 1.9 with 5 MHz output frequency, and then find the values of C3, L1 and L2. 3. Briefly describe the advantages of crystal oscillator. 4. Briefly describe the design concepts of voltage controlled oscillators. Experiment Objectives: 1. To understand the basic theory of oscillators. 2. To design and implement the Colpitts and Hartley oscillators. 3. To design and implement the crystal and voltage controlled oscillators. 4. To understand the measurement and calculation of the output frequency of oscillator. Experiment theory: Nowadays, wireless communication is widely used in and expanded rapidly. Therefore, RF oscillators become one of the important members in wireless communications. The characteristic of oscillator is that it can produce sinusoidal wave or square wave at output terminal without any input signal. So oscillator becomes an important role no matter for modulated signals or carrier signals. In this experiment, we will focus on the theory of feedback oscillators and the design and implementation of different kinds of oscillators. Besides, we can also learn to measure and calculate the output frequency of oscillators in this experiment. 1. The operation theory of oscillators. Figure 1.1 shows the basic block diagram of the oscillator circuit. It includes an amplifier and a resonator, which comprise the positive feedback network.