Crystal Oscillator Troubleshooting Guide
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Crystal Oscillators 1
Crystal oscillators 1. Objectives The aim of the exercise is to get acquainted with issues concerning the generation of waveforms (including sinewaves) in the basic structures of crystal generators. In addition, the exercise aims to familiarize with surface mount technique SMT (Surface Mount Technology/ Technics or SMD – Surface mounting Devices). 2. Components and instrumentation. In the exercise, it is possible to test quartz generators operating in the three simplest and most popular system structures: • Colpitts-Pierce quartz generator with bipolar transistor, • quartz generator implemented on TTL gates, • quartz generator implemented on CMOS inverters 2.1. Colpittsa-Pierce’s oscillator with bipolar transistor. The Colpitts-Pierce quartz generator system working in parallel resonance is shown in Fig. 1. + UCC Rb C2 XT C1 Re UWY Fig. 1. Colpittsa-Pierce oscillator with BJT. Using, in the system, quartz resonators with resonance values up to several tens of MHz, the elements C1, Re in the generator system can be selected according to the graph shown in Fig.2. RezystorRe [Ohm] Frequency [MHz] Fig. 2. Selection of C1 and Re elements in the Colpitts-Pierce oscillator 2.2. Quartz oscillator implemented using TTL digital IC Fig. 3 presents a diagram of a quartz oscillator implemented using NAND gates in TTL technology. The oscillator works in series resonance. In this system, while maintaining the same resistance values, quartz resonators with a frequency from a few to 10 MHz can be used. 560 1k8 220 220 UWY XT Fig. 3. Cristal oscillator with serial resonance implemented with NAND gates in TTL technology In the laboratory exercise, it is proposed to implement the system using TTL series 74LS00 (pins of the IC are shown in in Fig.4). -
Forced Mechanical Oscillations
169 Carl von Ossietzky Universität Oldenburg – Faculty V - Institute of Physics Module Introductory laboratory course physics – Part I Forced mechanical oscillations Keywords: HOOKE's law, harmonic oscillation, harmonic oscillator, eigenfrequency, damped harmonic oscillator, resonance, amplitude resonance, energy resonance, resonance curves References: /1/ DEMTRÖDER, W.: „Experimentalphysik 1 – Mechanik und Wärme“, Springer-Verlag, Berlin among others. /2/ TIPLER, P.A.: „Physik“, Spektrum Akademischer Verlag, Heidelberg among others. /3/ ALONSO, M., FINN, E. J.: „Fundamental University Physics, Vol. 1: Mechanics“, Addison-Wesley Publishing Company, Reading (Mass.) among others. 1 Introduction It is the object of this experiment to study the properties of a „harmonic oscillator“ in a simple mechanical model. Such harmonic oscillators will be encountered in different fields of physics again and again, for example in electrodynamics (see experiment on electromagnetic resonant circuit) and atomic physics. Therefore it is very important to understand this experiment, especially the importance of the amplitude resonance and phase curves. 2 Theory 2.1 Undamped harmonic oscillator Let us observe a set-up according to Fig. 1, where a sphere of mass mK is vertically suspended (x-direc- tion) on a spring. Let us neglect the effects of friction for the moment. When the sphere is at rest, there is an equilibrium between the force of gravity, which points downwards, and the dragging resilience which points upwards; the centre of the sphere is then in the position x = 0. A deflection of the sphere from its equilibrium position by x causes a proportional dragging force FR opposite to x: (1) FxR ∝− The proportionality constant (elastic or spring constant or directional quantity) is denoted D, and Eq. -
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 Circuit Evaluation Method (2) Steps for Evaluating Oscillator Circuits (Oscillation Allowance and Drive Level)
Technical Notes Oscillator Circuit Evaluation Method (2) Steps for evaluating oscillator circuits (oscillation allowance and drive level) Preface In general, a crystal unit needs to be matched with an oscillator circuit in order to obtain a stable oscillation. A poor match between crystal unit and oscillator circuit can produce a number of problems, including, insufficient device frequency stability, devices stop oscillating, and oscillation instability. When using a crystal unit in combination with a microcontroller, you have to evaluate the oscillator circuit. In order to check the match between the crystal unit and the oscillator circuit, you must, at least, evaluate (1) oscillation frequency (frequency matching), (2) oscillation allowance (negative resistance), and (3) drive level. The previous Technical Notes explained frequency matching. These Technical Notes describe the evaluation methods for oscillation allowance (negative resistance) and drive level. 1. Oscillation allowance (negative resistance) evaluations One process used as a means to easily evaluate the negative resistance characteristics and oscillation allowance of an oscillator circuits is the method of adding a resistor to the hot terminal of the crystal unit and observing whether it can oscillate (examining the negative resistance RN). The oscillator circuit capacity can be examined by changing the value of the added resistance (size of loss). The circuit diagram for measuring the negative resistance is shown in Fig. 1. The absolute value of the negative resistance is the value determined by summing up the added resistance r and the equivalent resistance (Re) when the crystal unit is under load. Formula (1) Rf Rd r | RN | Connect _ r+R e .. -
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. -
Hydraulics Manual Glossary G - 3
Glossary G - 1 GLOSSARY OF HIGHWAY-RELATED DRAINAGE TERMS (Reprinted from the 1999 edition of the American Association of State Highway and Transportation Officials Model Drainage Manual) G.1 Introduction This Glossary is divided into three parts: · Introduction, · Glossary, and · References. It is not intended that all the terms in this Glossary be rigorously accurate or complete. Realistically, this is impossible. Depending on the circumstance, a particular term may have several meanings; this can never change. The primary purpose of this Glossary is to define the terms found in the Highway Drainage Guidelines and Model Drainage Manual in a manner that makes them easier to interpret and understand. A lesser purpose is to provide a compendium of terms that will be useful for both the novice as well as the more experienced hydraulics engineer. This Glossary may also help those who are unfamiliar with highway drainage design to become more understanding and appreciative of this complex science as well as facilitate communication between the highway hydraulics engineer and others. Where readily available, the source of a definition has been referenced. For clarity or format purposes, cited definitions may have some additional verbiage contained in double brackets [ ]. Conversely, three “dots” (...) are used to indicate where some parts of a cited definition were eliminated. Also, as might be expected, different sources were found to use different hyphenation and terminology practices for the same words. Insignificant changes in this regard were made to some cited references and elsewhere to gain uniformity for the terms contained in this Glossary: as an example, “groundwater” vice “ground-water” or “ground water,” and “cross section area” vice “cross-sectional area.” Cited definitions were taken primarily from two sources: W.B. -
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.