Jitter and Signal Noise in Frequency Sources
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Johnson Noise and Shot Noise: the Determination of the Boltzmann Constant, Absolute Zero Temperature and the Charge of the Electron
Johnson Noise and Shot Noise: The Determination of the Boltzmann Constant, Absolute Zero Temperature and the Charge of the Electron MIT Department of Physics (Dated: September 3, 2013) In electronic measurements, one observes \signals," which must be distinctly above the \noise." Noise induced from outside sources may be reduced by shielding and proper \grounding." Less noise means greater sensitivity with signal/noise as the figure of merit. However, there exist fundamental sources of noise which no clever circuit can avoid. The intrinsic noise is a result of the thermal jitter of the charge carriers and the quantization of charge. The purpose of this experiment is to measure these two limiting electrical noises. From the measurements, values of the Boltzmann constant and the charge of the electron will be derived. PREPARATORY QUESTIONS By the end of the 19th century, the accumulated ev- idence from chemistry, crystallography, and the kinetic Please visit the Johnson and Shot Noise chapter on the theory of gases left little doubt about the validity of the 8.13x website at mitx.mit.edu to review the background atomic theory of matter. Nevertheless, there were still material for this experiment. Answer all questions found arguments against the atomic theory, stemming from a in the chapter. Work out the solutions in your laboratory lack of "direct" evidence for the reality of atoms. In fact, notebook; submit your answers on the web site. there was no precise measurement yet available of the quantitative relation between atoms and the objects of direct scientific experience such as weights, meter sticks, EXPERIMENT GOALS clocks, and ammeters. -
Understanding Jitter and Wander Measurements and Standards Second Edition Contents
Understanding Jitter and Wander Measurements and Standards Second Edition Contents Page Preface 1. Introduction to Jitter and Wander 1-1 2. Jitter Standards and Applications 2-1 3. Jitter Testing in the Optical Transport Network 3-1 (OTN) 4. Jitter Tolerance Measurements 4-1 5. Jitter Transfer Measurement 5-1 6. Accurate Measurement of Jitter Generation 6-1 7. How Tester Intrinsics and Transients 7-1 affect your Jitter Measurement 8. What 0.172 Doesn’t Tell You 8-1 9. Measuring 100 mUIp-p Jitter Generation with an 0.172 Tester? 9-1 10. Faster Jitter Testing with Simultaneous Filters 10-1 11. Verifying Jitter Generator Performance 11-1 12. An Overview of Wander Measurements 12-1 Acronyms Welcome to the second edition of Agilent Technologies Understanding Jitter and Wander Measurements and Standards booklet, the distillation of over 20 years’ experience and know-how in the field of telecommunications jitter testing. The Telecommunications Networks Test Division of Agilent Technologies (formerly Hewlett-Packard) in Scotland introduced the first jitter measurement instrument in 1982 for PDH rates up to E3 and DS3, followed by one of the first 140 Mb/s jitter testers in 1984. SONET/SDH jitter test capability followed in the 1990s, and recently Agilent introduced one of the first 10 Gb/s Optical Channel jitter test sets for measurements on the new ITU-T G.709 frame structure. Over the years, Agilent has been a significant participant in the development of jitter industry standards, with many contributions to ITU-T O.172/O.173, the standards for jitter test equipment, and Telcordia GR-253/ ITU-T G.783, the standards for operational SONET/SDH network equipment. -
10S Johnson-Nyquist Noise Masatsugu Sei Suzuki Department of Physics, SUNY at Binghamton (Date: January 02, 2011)
Chapter 10S Johnson-Nyquist noise Masatsugu Sei Suzuki Department of Physics, SUNY at Binghamton (Date: January 02, 2011) Johnson noise Johnson-Nyquist theorem Boltzmann constant Parseval relation Correlation function Spectral density Wiener-Khinchin (or Khintchine) Flicker noise Shot noise Poisson distribution Brownian motion Fluctuation-dissipation theorem Langevin function ___________________________________________________________________________ John Bertrand "Bert" Johnson (October 2, 1887–November 27, 1970) was a Swedish-born American electrical engineer and physicist. He first explained in detail a fundamental source of random interference with information traveling on wires. In 1928, while at Bell Telephone Laboratories he published the journal paper "Thermal Agitation of Electricity in Conductors". In telecommunication or other systems, thermal noise (or Johnson noise) is the noise generated by thermal agitation of electrons in a conductor. Johnson's papers showed a statistical fluctuation of electric charge occur in all electrical conductors, producing random variation of potential between the conductor ends (such as in vacuum tube amplifiers and thermocouples). Thermal noise power, per hertz, is equal throughout the frequency spectrum. Johnson deduced that thermal noise is intrinsic to all resistors and is not a sign of poor design or manufacture, although resistors may also have excess noise. http://en.wikipedia.org/wiki/John_B._Johnson 1 ____________________________________________________________________________ Harry Nyquist (February 7, 1889 – April 4, 1976) was an important contributor to information theory. http://en.wikipedia.org/wiki/Harry_Nyquist ___________________________________________________________________________ 10S.1 Histrory In 1926, experimental physicist John Johnson working in the physics division at Bell Labs was researching noise in electronic circuits. He discovered random fluctuations in the voltages across electrical resistors, whose power was proportional to temperature. -
Retrospective Analysis of Phonatory Outcomes After CO2 Laser Thyroarytenoid 00111 Myoneurectomy in Patients with Adductor Spasmodic Dysphonia
Global Journal of Otolaryngology ISSN 2474-7556 Research Article Glob J Otolaryngol Volume 22 Issue 4- June 2020 Copyright © All rights are reserved by Rohan Bidaye DOI: 10.19080/GJO.2020.22.556091 Retrospective Analysis of Phonatory Outcomes after CO2 Laser Thyroarytenoid Myoneurectomy in Patients with Adductor Spasmodic Dysphonia Rohan Bidaye1*, Sachin Gandhi2*, Aishwarya M3 and Vrushali Desai4 1Senior Clinical Fellow in Laryngology, Deenanath Mangeshkar Hospital, India 2Head of Department of ENT, Deenanath Mangeshkar Hospital, India 3Fellow in Laryngology, Deenanath Mangeshkar Hospital, India 4Chief Consultant, Speech Language Pathologist, Deenanath Mangeshkar Hospital, India Submission: May 16, 2020; Published: June 08, 2020 *Corresponding author: Rohan Bidaye and Sachin Gandhi, Senior Clinical Fellow in Laryngology and Head of Department of ENT, Deenanath Mangeshkar Hospital, India Abstract Introduction: Adductor spasmodic dysphonia (ADSD) is a focal laryngeal dystonia characterized by spasms of laryngeal muscles during speech. Botulinum toxin injection in the Thyroarytenoid muscle remains the gold-standard treatment for ADSD. However, as Botulinum toxin CO2 laser Thyroarytenoid myoneurectomy (TAM) has been reported as an effective technique for treatment of ADSD. It provides sustained improvementinjections need in tothe be voice repeated over a periodically,longer duration. the voice quality fluctuates over a longer period. A Microlaryngoscopic Transoral approach to Methods: Trans oral Microlaryngoscopic CO2 laser TAM was performed in 14 patients (5 females and 9 males), aged between 19 and 64 years who were diagnosed with ADSD. Data was collected from over 3 years starting from Jan 2014 – Dec 2016. GRBAS scale along with Multi- dimensional voice programme (MDVP) analysis of the voice and Video laryngo-stroboscopic (VLS) samples at the end of 3 and 12 months of surgery would be compared with the pre-operative readings. -
Arxiv:2003.13216V1 [Cs.CV] 30 Mar 2020
Learning to Learn Single Domain Generalization Fengchun Qiao Long Zhao Xi Peng University of Delaware Rutgers University University of Delaware [email protected] [email protected] [email protected] Abstract : Source domain(s) <latexit sha1_base64="glUSn7xz2m1yKGYjqzzX12DA3tk=">AAAB8nicjVDLSsNAFL3xWeur6tLNYBFclaQKdllw47KifUAaymQ6aYdOJmHmRiihn+HGhSJu/Rp3/o2TtgsVBQ8MHM65l3vmhKkUBl33w1lZXVvf2Cxtlbd3dvf2KweHHZNkmvE2S2SieyE1XArF2yhQ8l6qOY1Dybvh5Krwu/dcG5GoO5ymPIjpSIlIMIpW8vsxxTGjMr+dDSpVr+bOQf4mVViiNai894cJy2KukElqjO+5KQY51SiY5LNyPzM8pWxCR9y3VNGYmyCfR56RU6sMSZRo+xSSufp1I6exMdM4tJNFRPPTK8TfPD/DqBHkQqUZcsUWh6JMEkxI8X8yFJozlFNLKNPCZiVsTDVlaFsq/6+ETr3mndfqNxfVZmNZRwmO4QTOwINLaMI1tKANDBJ4gCd4dtB5dF6c18XoirPcOYJvcN4+AY5ZkWY=</latexit> <latexit sha1_base64="9X8JvFzvWSXuFK0x/Pe60//G3E4=">AAACD3icbVDLSsNAFJ3UV62vqks3g0Wpm5LW4mtVcOOyUvuANpTJZNIOnUzCzI1YQv/Ajb/ixoUibt26829M2iBqPTBwOOfeO/ceOxBcg2l+GpmFxaXllexqbm19Y3Mrv73T0n6oKGtSX/iqYxPNBJesCRwE6wSKEc8WrG2PLhO/fcuU5r68gXHALI8MJHc5JRBL/fxhzyMwpEREjQnuAbuD6AI3ptOx43uEy6I+muT6+YJZMqfA86SckgJKUe/nP3qOT0OPSaCCaN0tmwFYEVHAqWCTXC/ULCB0RAasG1NJPKataHrPBB/EioNdX8VPAp6qPzsi4mk99uy4Mtle//US8T+vG4J7ZkVcBiEwSWcfuaHA4OMkHOxwxSiIcUwIVTzeFdMhUYRCHOEshPMEJ98nz5NWpVQ+LlWvq4VaJY0ji/bQPiqiMjpFNXSF6qiJKLpHj+gZvRgPxpPxarzNSjNG2rOLfsF4/wJA4Zw6</latexit> S S : Target domain(s) <latexit sha1_base64="ssITTP/Vrn2uchq9aDxvcfruPQc=">AAACD3icbVDLSgNBEJz1bXxFPXoZDEq8hI2Kr5PgxWOEJAaSEHonnWTI7Owy0yuGJX/gxV/x4kERr169+TfuJkF8FTQUVd10d3mhkpZc98OZmp6ZnZtfWMwsLa+srmXXN6o2iIzAighUYGoeWFRSY4UkKayFBsH3FF57/YvUv75BY2WgyzQIselDV8uOFECJ1MruNnygngAVl4e8QXhL8Rkvg+ki8Xbgg9R5uzfMtLI5t+COwP+S4oTk2ASlVva90Q5E5KMmocDaetENqRmDISkUDjONyGIIog9drCdUg4+2GY/+GfKdRGnzTmCS0sRH6veJGHxrB76XdKbX299eKv7n1SPqnDRjqcOIUIvxok6kOAU8DYe3pUFBapAQEEYmt3LRAwOCkgjHIZymOPp6+S+p7heKB4XDq8Pc+f4kjgW2xbZZnhXZMTtnl6zEKkywO/bAntizc+88Oi/O67h1ypnMbLIfcN4+ATKRnDE=</latexit> -
A Mathematical and Physical Analysis of Circuit Jitter with Application to Cryptographic Random Bit Generation
WJM-6500 BS2-0501 A Mathematical and Physical Analysis of Circuit Jitter with Application to Cryptographic Random Bit Generation A Major Qualifying Project Report: submitted to the Faculty of the WORCESTER POLYTECHNIC INSTITUTE in partial fulfillment of the requirements for the Degree of Bachelor of Science by _____________________________ Wayne R. Coppock _____________________________ Colin R. Philbrook Submitted April 28, 2005 1. Random Number Generator Approved:________________________ Professor William J. Martin 2. Cryptography ________________________ 3. Jitter Professor Berk Sunar 1 Abstract In this paper analysis of jitter is conducted to determine its suitability for use as an entropy source for a true random number generator. Efforts are taken to isolate and quantify jitter in ring oscillator circuits and to understand its relationship to design specifications. The accumulation of jitter via various methods is also investigated to determine whether there is an optimal accumulation technique for sampling the uncertainty of jitter events. Mathematical techniques are used to analyze the accumulation process and an attempt at modeling a signal with jitter is made. The physical properties responsible for the noise that causes jitter are also briefly investigated. 2 Acknowledgements We would like to thank our faculty advisors and our mentors at GD, without whom this project would not have been possible. Our advisors, Professor Bill martin and Professor Berk Sunar, were indispensable in keeping us focused on the tasks ahead as well as for providing background to help us explore new questions as they arose. Our mentors at GD were also key to the project’s success, and we owe them much for this. -
Improving Speech Quality for Hearing Aid Applications Based on Wiener Filter and Composite of Deep Denoising Autoencoders
signals Article Improving Speech Quality for Hearing Aid Applications Based on Wiener Filter and Composite of Deep Denoising Autoencoders Raghad Yaseen Lazim 1,2 , Zhu Yun 1,2 and Xiaojun Wu 1,2,* 1 Key Laboratory of Modern Teaching Technology, Ministry of Education, Shaanxi Normal University, Xi’an 710062, China; [email protected] (R.Y.L.); [email protected] (Z.Y.) 2 School of Computer Science, Shaanxi Normal University, No.620, West Chang’an Avenue, Chang’an District, Xi’an 710119, China * Correspondence: [email protected] Received: 10 July 2020; Accepted: 1 September 2020; Published: 21 October 2020 Abstract: In hearing aid devices, speech enhancement techniques are a critical component to enable users with hearing loss to attain improved speech quality under noisy conditions. Recently, the deep denoising autoencoder (DDAE) was adopted successfully for recovering the desired speech from noisy observations. However, a single DDAE cannot extract contextual information sufficiently due to the poor generalization in an unknown signal-to-noise ratio (SNR), the local minima, and the fact that the enhanced output shows some residual noise and some level of discontinuity. In this paper, we propose a hybrid approach for hearing aid applications based on two stages: (1) the Wiener filter, which attenuates the noise component and generates a clean speech signal; (2) a composite of three DDAEs with different window lengths, each of which is specialized for a specific enhancement task. Two typical high-frequency hearing loss audiograms were used to test the performance of the approach: Audiogram 1 = (0, 0, 0, 60, 80, 90) and Audiogram 2 = (0, 15, 30, 60, 80, 85). -
Next Topic: NOISE
ECE145A/ECE218A Performance Limitations of Amplifiers 1. Distortion in Nonlinear Systems The upper limit of useful operation is limited by distortion. All analog systems and components of systems (amplifiers and mixers for example) become nonlinear when driven at large signal levels. The nonlinearity distorts the desired signal. This distortion exhibits itself in several ways: 1. Gain compression or expansion (sometimes called AM – AM distortion) 2. Phase distortion (sometimes called AM – PM distortion) 3. Unwanted frequencies (spurious outputs or spurs) in the output spectrum. For a single input, this appears at harmonic frequencies, creating harmonic distortion or HD. With multiple input signals, in-band distortion is created, called intermodulation distortion or IMD. When these spurs interfere with the desired signal, the S/N ratio or SINAD (Signal to noise plus distortion ratio) is degraded. Gain Compression. The nonlinear transfer characteristic of the component shows up in the grossest sense when the gain is no longer constant with input power. That is, if Pout is no longer linearly related to Pin, then the device is clearly nonlinear and distortion can be expected. Pout Pin P1dB, the input power required to compress the gain by 1 dB, is often used as a simple to measure index of gain compression. An amplifier with 1 dB of gain compression will generate severe distortion. Distortion generation in amplifiers can be understood by modeling the amplifier’s transfer characteristic with a simple power series function: 3 VaVaVout=−13 in in Of course, in a real amplifier, there may be terms of all orders present, but this simple cubic nonlinearity is easy to visualize. -
Dithering and Quantization of Audio and Image
Dithering and Quantization of audio and image Maciej Lipiński - Ext 06135 1. Introduction This project is going to focus on issue of dithering. The main aim of assignment was to develop a program to quantize images and audio signals, which should add noise and to measure mean square errors, comparing the quality of the quantized images with and without noise. The program realizes fallowing: - quantize an image or audio signal using n levels (defined by the user); - measure the MSE (Mean Square Error) between the original and the quantized signals; - add uniform noise in [-d/2,d/2], where d is the quantization step size, using n levels; - quantify the signal (image or audio) after adding the noise, using n levels (user defined); - measure the MSE by comparing the noise-quantized signal with the original; - compare results. The program shows graphic result, presenting original image/audio, quantized image/audio and quantized with dither image/audio. It calculates and displays the values of MSE – mean square error. 2. DITHERING Dither is a form of noise, “erroneous” signal or data which is intentionally added to sample data for the purpose of minimizing quantization error. It is utilized in many different fields where digital processing is used, such as digital audio and images. The quantization and re-quantization of digital data yields error. If that error is repeating and correlated to the signal, the error that results is repeating. In some fields, especially where the receptor is sensitive to such artifacts, cyclical errors yield undesirable artifacts. In these fields dither is helpful to result in less determinable distortions. -
Pink Noise Generator
PINK NOISE GENERATOR K4301 Add a spectrum analyser with a microphone and check your audio system performance. H4301IP-1 VELLEMAN NV Legen Heirweg 33 9890 Gavere Belgium Europe www.velleman.be www.velleman-kit.com Features & Specifications To analyse the acoustic properties of a room (usually a living- room), a good pink noise generator together with a spectrum analyser is indispensable. Moreover you need a microphone with as linear a frequency characteristic as possible (from 20 to 20000Hz.). If, in addition, you dispose of an equaliser, then you can not only check but also correct reproduction. Features: Random digital noise. 33 bit shift register. Clock frequency adjustable between 30KHz and 100KHz. Pink noise filter: -3 dB per octave (20 .. 20000Hz.). Easily adaptable to produce "white noise". Specifications: Output voltage: 150mV RMS./ clock frequency 40KHz. Output impedance: 1K ohm. Power supply: 9 to 12VAC, or 12 to 15VDC / 5mA. 3 Assembly hints 1. Assembly (Skipping this can lead to troubles ! ) Ok, so we have your attention. These hints will help you to make this project successful. Read them carefully. 1.1 Make sure you have the right tools: A good quality soldering iron (25-40W) with a small tip. Wipe it often on a wet sponge or cloth, to keep it clean; then apply solder to the tip, to give it a wet look. This is called ‘thinning’ and will protect the tip, and enables you to make good connections. When solder rolls off the tip, it needs cleaning. Thin raisin-core solder. Do not use any flux or grease. A diagonal cutter to trim excess wires. -
AN279: Estimating Period Jitter from Phase Noise
AN279 ESTIMATING PERIOD JITTER FROM PHASE NOISE 1. Introduction This application note reviews how RMS period jitter may be estimated from phase noise data. This approach is useful for estimating period jitter when sufficiently accurate time domain instruments, such as jitter measuring oscilloscopes or Time Interval Analyzers (TIAs), are unavailable. 2. Terminology In this application note, the following definitions apply: Cycle-to-cycle jitter—The short-term variation in clock period between adjacent clock cycles. This jitter measure, abbreviated here as JCC, may be specified as either an RMS or peak-to-peak quantity. Jitter—Short-term variations of the significant instants of a digital signal from their ideal positions in time (Ref: Telcordia GR-499-CORE). In this application note, the digital signal is a clock source or oscillator. Short- term here means phase noise contributions are restricted to frequencies greater than or equal to 10 Hz (Ref: Telcordia GR-1244-CORE). Period jitter—The short-term variation in clock period over all measured clock cycles, compared to the average clock period. This jitter measure, abbreviated here as JPER, may be specified as either an RMS or peak-to-peak quantity. This application note will concentrate on estimating the RMS value of this jitter parameter. The illustration in Figure 1 suggests how one might measure the RMS period jitter in the time domain. The first edge is the reference edge or trigger edge as if we were using an oscilloscope. Clock Period Distribution J PER(RMS) = T = 0 T = TPER Figure 1. RMS Period Jitter Example Phase jitter—The integrated jitter (area under the curve) of a phase noise plot over a particular jitter bandwidth. -
Thermal-Noise.Pdf
Thermal Noise Introduction One might naively believe that if all sources of electrical power are removed from a circuit that there will be no voltage across any of the components, a resistor for example. On average this is correct but a close look at the rms voltage would reveal that a "noise" voltage is present. This intrinsic noise is due to thermal fluctuations and can be calculated as may be done in your second year thermal physics course! The main goal of this experiment is to measure and characterize this noise: Johnson noise. In order to measure the intrinsic noise of a component one must first reduce the extrinsic sources of noise, i.e. interference. You have probably noticed that if you touch the input lead to an oscilloscope a large signal appears. Try this now and characterize the signal you see. Note that you are acting as an antenna! Make sure you look at both long time scales, say 10 ms, and shorter time scales, say 1 s. What are the likely sources of the signals you see? You may recall seeing this before in the First Year Laboratory. This interference is characterized by two features. First, the noise voltage is characterized by a spectrum, i.e. the noise voltage Vn ( f ) is a function of frequency. 2 Since noise usually has a time average of zero, the power spectrum Vn ( f ) is specified in each frequency interval df . Second, the measuring instrument is also characterized by a spectral response or bandwidth. In our case the bandwidth of the oscilloscope is from fL =0 (when input is DC coupled) to an upper frequency fH usually noted on the scope (beware of bandwidth limiting switches).