Exercise 1 Principles of Computer Aided Modeling and Simulation

Size: px
Start display at page:

Download "Exercise 1 Principles of Computer Aided Modeling and Simulation"

Transcription

1 Gdans Universiy o Technology, Faculy o Ocean Engineering and Ship Technology Modeling and Conrol o Dynaic Syses, Laboraory, M. H. Ghaei Eercise Principles o Copuer Aided Modeling and Siulaion OBJECTIVE The objecive o his eercise is geing sared wih MATLAB and SIMULINK as a powerul pacage or odeling, siulaion and analysis o dynaic syses and heir conrols. The irs eercise is a war up aciviy o ae you ailiar wih he principles o dynaic syse odeling and conrol syse. You ae your own odel and eaine he open loop responses. The inluence o syse paraeers on is dynaic behavior will be esed, oo. REQUIREMENTS A. Prerequisie nowledge: Beore saring he eercise you are epeced o now he ollowing opics:. Maing a aheaical odel using he second Newon s and Lagrange s laws.. Tie response o eleenary pars o conrol syses, paricularly sep and ipulse responses 3. The eaning and usage o qualiy crieria o conrol syses: rise ie, seling ie, overshoo, bandwidh, seady sae error, ie o irs pea, ec. 4. Nuerical ehods or solving he ordinary dierenial equaions ODEs. B. MATLAB/SIMULINK You should be ailiar wih he ollowing MATLAB/SIMULINK aspecs:. Variables scalars, arices and vecors. Principle aheaical operaions, 3. MATLAB iles generaion and ipleenaion, as well as I/O iles, 4. Fundaenals o ploing and graphical presenaion, 5. Siple odel generaion and siulaion using SIMULINK. LAYOUT Par A: Geing sared wih MATLAB/SIMULINK. Review and es he os iporan eaures, coands and uncions o MATLAB he lecurers will inroduce you he a lab... Wrie one. ile using uncion or ploing he requency characerisics only Nyquis and Bode diagras o he syse you received ro he lecurer. 3. Open hero ile in MATLAB coand window and ry o undersand he srucure o he syse. Wrie he aheaical equaions boh algebraic and ODE o his syse. Par B: For your own dynaic syse, delivered by he lecurer, ollow he ne seps:. Mae he aheaical odel o he syse and wrie he syse equaions.. Lis he iniial condiions, assupions and analye he syse. 3. Pu he odel in MATLAB using hree dieren ehods: sae space ehod, ranser uncion and ZPK Zero-Pole-Gain or. 4. Using. ile wrie a uncion, which describes he syse equaions. 5. Chec uni ipulse and sep responses o he odel as he objecive o conrol syse open loop response. For his case use sep and ipulse. 6. Use lsi, ode3 and ode45 o siulae he uni responses and hen plo and copare he resuls in one igure. 7. Try o change he paraeers o ODE solvers and repea poin 6 o achieve he adequae resul. 5

2 Gdans Universiy o Technology, Faculy o Ocean Engineering and Ship Technology Modeling and Conrol o Dynaic Syses, Laboraory, M. H. Ghaei 8. Repea poin 6 or a sinusoid inpu signal, e.g. sin. 9. Plo he requency response o he syse using nyquis and bode or alernaively ha uncion which you wroe in Par A, Poin.. Mae he odel o your syse in SIMULINK.. Mae siulaion o open loop syse in SIMULINK. Repea your siulaion using sep uncion, consan value and sine uncion as inpu and plo all hree responses in one igure.. Try o change he siulaion paraeers and solving ehods, hen repea your siulaions. 3. Invesigae he inluence o syse paraeers on uni sep response. Mae he relaed plos o es he eec o paraeers changing. MATLAB/SIMULINK MATLAB/SIMULINK is a prograing language and daa visualiaion soware pacage which is especially eecive in siulaion and syse analysis. Inoraion abou MATLAB/SIMULINK can be ound a he web page o he vendor The MahWors, Inc. whose URL is hp:// The ollowing MATLAB coands and ah uncions are necessary o be undersood and applied in his eercises: abs ais bode cos den ep igure or uncion grid help ipulse linspace load log log logspace looor lsi liview nu nyquis ode3 ode45 prin save sign sin sqr sep subplo ile label ylabel Please ry o ype >>help coand/uncion or each case o ge deails. 6

3 Gdans Universiy o Technology, Faculy o Ocean Engineering and Ship Technology Modeling and Conrol o Dynaic Syses, Laboraory, M. H. Ghaei REPORT a. Plo he requency characerisics o your syse. b. Deliver he aheaical equaions o hero syse. c. Describe he physical eaning o your dynaic syse. Deine he objecive o he syse, inroduce all consrains, boundary and iniial condiions. d. Deliver all plos enioned in LAYOUT par. Inerpre he physical eaning o he plos or each inpu. e. Read he ain paraeers o he syse response ro your plos gain, ie consans, rise ie, seling ie, overshoo, ie o irs pea and bandwidh o he syse. Discuss on inluence o: solving ehods, siulaion paraeers, and syse paraeers on dynaic behavior o he syse. Model or Eercise : Car Suspension Syse Phoo: Couresy o The Car Bible Hoe. hp:// Here we invesigae he suspension syse o a car. One wheel can be used o sipliy he proble o a one diensional ass-spring-daper syse, see he ollowing diagra. The physical odel o car suspension syse. : ass o car body : ass o suspension syse : spring consan o suspension syse : spring consan o wheel including ire : daping consan o suspension syse 7

4 8 Gdans Universiy o Technology, Faculy o Ocean Engineering and Ship Technology Modeling and Conrol o Dynaic Syses, Laboraory, M. H. Ghaei : daping consan o wheel including ire : eernal orce conrol inpu : absolue displaceen o : absolue displaceen o Equaions o oion: Use Lagrange equaion or second Newon s law o wrie he oion equaion o he syse. The resul can be presened or eaple in his or: Eaple Consider he ollowing ass-spring-daper proble: The dierenial equaion o syse oion is as ollows: This aheaical odel can be represened in sae space irsly by deining he sae variables: The inpu signal and oupu signals are: u and y As a resul [] [ ] [ ] [ ][ ] u y u For g, N/, 5 N//s and N, he syse can be coded as ollows:» a[ ; - -.5];» b[ ;.];» c[ ];» d;» sysssa,b,c,d; Then ipulse and sep response can be ploed:» ipulsesys;grid

5 Gdans Universiy o Technology, Faculy o Ocean Engineering and Ship Technology Modeling and Conrol o Dynaic Syses, Laboraory, M. H. Ghaei 6-3 Ipulse Response Apliude » sepsys;grid Tie sec. Sep Response Apliude Tie sec. Now we can epress he ranser uncion o he syse:» [nu,den]ssa,b,c,d; gnu,den Transer uncion: s^.5 s I is possible o use lsi o ind he syse sep response:» :.:5;» u:5;» [Y,T,X] lsisys,u,,[ ];» plot,y; which is he sae as previous igure. We can plo he sae variables and copare he wih sep response:» hold on» plot,x:,,'r'» plot,x:,,'b'» label'tie [s]'» ylabel 'Apliude' 9

6 Gdans Universiy o Technology, Faculy o Ocean Engineering and Ship Technology Modeling and Conrol o Dynaic Syses, Laboraory, M. H. Ghaei» ile'sep Response'» grid» legend'', '' Sep Response 4 Apliude Tie [s] We can also wrie a uncion:» uncion pri,» doeros,;» u;» do;» do.*u-.5*-*;» prido; and hen use ode3 or ode45 o solve he proble:» [,y]ode45,[ 5],[ ];» plo,y:,; grid This produces he sae plo as presened above. To ae siulaion using SIMULINK, irsly draw he bloc diagra o he syse, which can be presened, or eaple, as ollows: - The adequae SIMULINK odel can be ade now based on his bloc diagra:

7 Gdans Universiy o Technology, Faculy o Ocean Engineering and Ship Technology Modeling and Conrol o Dynaic Syses, Laboraory, M. H. Ghaei Noe ha here a sep uncion has been seleced as inpu signal and he oupu is ransied o scope. By wriing he values o, and under MATLAB Coand Window:» ;5;; we will be able o deine he syse paraeers. Then siulaion can be eecued o achieve he sae resuls as beore. Reeber ha he presened bloc diagra and SIMULINK odel are no unique. For N, he syse response will be analogically he sae, bu he apliude will be uliplied by. Finally, ry o use liview GUI Graphic User Inerace o es LTI Linear, Tie- Invarian syses you have already enered o worspace. Try o ae dieren plos o undersand he characerisics o your syses. * * *

Free and Forced Vibrations of Two Degree of Systems

Free and Forced Vibrations of Two Degree of Systems ree and orced Vibraions of Two Degree of Syses Inroducion: The siple single degree-of-freedo syse can be coupled o anoher of is ind, producing a echanical syse described by wo coupled differenial equaions;

More information

Deblurring Images via Partial Differential Equations

Deblurring Images via Partial Differential Equations Deblurring Images via Parial Dierenial Equaions Sirisha L. Kala Mississippi Sae Universiy slk3@mssae.edu Advisor: Seh F. Oppenheimer Absrac: Image deblurring is one o he undamenal problems in he ield o

More information

Signals and the frequency domain ENGR 40M lecture notes July 31, 2017 Chuan-Zheng Lee, Stanford University

Signals and the frequency domain ENGR 40M lecture notes July 31, 2017 Chuan-Zheng Lee, Stanford University Signals and he requency domain ENGR 40M lecure noes July 3, 07 Chuan-Zheng Lee, Sanord Universiy signal is a uncion, in he mahemaical sense, normally a uncion o ime. We oen reer o uncions as signals o

More information

13.1 Analog/Digital Lowpass Butterworth Filter

13.1 Analog/Digital Lowpass Butterworth Filter CHAPTER 3 IIR FILTER DESIGN 3. Analog/Digial Lowpass Buerworh Filer This docuen designs a lowpass digial IIR filer of he Buerworh ype. A bilinear ransforaion is perfored o creae a digial filer fro he analog

More information

Properties of Leakage Current on 20 kv Ceramic Insulators and Computer Simulation Based on Electrical Equivalent Circuit

Properties of Leakage Current on 20 kv Ceramic Insulators and Computer Simulation Based on Electrical Equivalent Circuit Proceedings of he World Congress on Engineering 2 Vol II WCE 2, June 3 - July 2, 2, London, U.K. Properies of Leakage Curren on 2 kv Ceraic Insulaors and Copuer Siulaion Based on Elecrical Equivalen Circui

More information

EECE 301 Signals & Systems Prof. Mark Fowler

EECE 301 Signals & Systems Prof. Mark Fowler EECE 3 Signals & Sysems Prof. Mark Fowler Noe Se #8 C-T Sysems: Frequency-Domain Analysis of Sysems Reading Assignmen: Secion 5.2 of Kamen and Heck /2 Course Flow Diagram The arrows here show concepual

More information

EE (082) Chapter IV: Angle Modulation Lecture 19 Dr. Wajih Abu-Al-Saud

EE (082) Chapter IV: Angle Modulation Lecture 19 Dr. Wajih Abu-Al-Saud EE 370-3 (082) Chaer IV: Angle Modulaion Lecure 19 Dr. Wajih Abu-Al-Saud Wideband and PM For he signal shown below, he value o k ay no saisy he condiion k 1, and hereore he aroxiaion used in narrowband

More information

COURSE OUTLINE. Introduction Signals and Noise Filtering: Band-Pass Filters 1 - BPF1 Sensors and associated electronics. Sensors, Signals and Noise 1

COURSE OUTLINE. Introduction Signals and Noise Filtering: Band-Pass Filters 1 - BPF1 Sensors and associated electronics. Sensors, Signals and Noise 1 ensors, ignals and Noise 1 COURE OUTLINE Inroducion ignals and Noise Filering: and-pass Filers 1 - PF1 ensors and associaed elecronics ignal Recovery, 017/018 PF 1 and-pass Filers 1 Narrow-and ignals Recovering

More information

READING ASSIGNMENTS LECTURE OBJECTIVES. Problem Solving Skills. x(t) = cos(αt 2 ) ELEG-212 Signal Processing and Communications

READING ASSIGNMENTS LECTURE OBJECTIVES. Problem Solving Skills. x(t) = cos(αt 2 ) ELEG-212 Signal Processing and Communications ELEG- Signal Processing and Communicaions Lecure 5 Periodic Signals, Harmonics & ime-varying Sinusoids READING ASSIGNMENS his Lecure: Chaper 3, Secions 3- and 3-3 Chaper 3, Secions 3-7 and 3-8 Lab sars

More information

Multipath. Introduction. Theory. Multipath 7.1

Multipath. Introduction. Theory. Multipath 7.1 Mulipa 7. Mulipa Inroducion Tere are wo caracerisics o radio cannels a presen serious diiculies or elecommunicaion sysems. One is e remendous dynamic range a mus be accommodaed due o e large cange in pa

More information

How to Shorten First Order Unit Testing Time. Piotr Mróz 1

How to Shorten First Order Unit Testing Time. Piotr Mróz 1 How o Shoren Firs Order Uni Tesing Time Pior Mróz 1 1 Universiy of Zielona Góra, Faculy of Elecrical Engineering, Compuer Science and Telecommunicaions, ul. Podgórna 5, 65-246, Zielona Góra, Poland, phone

More information

Principles of Communications Lecture 3: Analog Modulation Techniques (1) Chih-Wei Liu 劉志尉 National Chiao Tung University

Principles of Communications Lecture 3: Analog Modulation Techniques (1) Chih-Wei Liu 劉志尉 National Chiao Tung University Priniples of ouniaions Leure 3: nalog Modulaion Tehniques 1 hih-wei Liu 劉志尉 Naional hiao Tung Universiy wliu@wins.ee.nu.edu.w Oulines Linear Modulaion ngle Modulaion Inerferene Feedbak Deodulaors nalog

More information

Revision: June 11, E Main Suite D Pullman, WA (509) Voice and Fax

Revision: June 11, E Main Suite D Pullman, WA (509) Voice and Fax 2.5.3: Sinusoidal Signals and Complex Exponenials Revision: June 11, 2010 215 E Main Suie D Pullman, W 99163 (509) 334 6306 Voice and Fax Overview Sinusoidal signals and complex exponenials are exremely

More information

Fifteenth National Power Systems Conference (NPSC), IIT Bombay, December 2008

Fifteenth National Power Systems Conference (NPSC), IIT Bombay, December 2008 Fifeenh Naional Power Syses Conference (NPSC, T Boay, Deceer 2008 Seing Direcional Over Curren Relays as he Local Backup of Disance Relays in Power Nework M.M.Ghanarian, F.Kavehnia, A.Kazerooni slaic Azad

More information

The student will create simulations of vertical components of circular and harmonic motion on GX.

The student will create simulations of vertical components of circular and harmonic motion on GX. Learning Objecives Circular and Harmonic Moion (Verical Transformaions: Sine curve) Algebra ; Pre-Calculus Time required: 10 150 min. The sudens will apply combined verical ranslaions and dilaions in he

More information

Test 1 Review. Test 1 Review. Communication Systems: Foundational Theories. Communication System. Reference: Sections and

Test 1 Review. Test 1 Review. Communication Systems: Foundational Theories. Communication System. Reference: Sections and Tes 1 Review Tes 1 Review Proessor Deepa Kundur Universiy o Torono Reerence: Secions 2.2-2.7 and 3.1-3.6 o S. Haykin and M. Moher, Inroducion o Analog & Digial Communicaions, 2nd ed., John iley & Sons,

More information

MATLAB/SIMULINK TECHNOLOGY OF THE SYGNAL MODULATION

MATLAB/SIMULINK TECHNOLOGY OF THE SYGNAL MODULATION J Modern Technology & Engineering Vol2, No1, 217, pp76-81 MATLAB/SIMULINK TECHNOLOGY OF THE SYGNAL MODULATION GA Rusamov 1*, RJ Gasimov 1, VG Farhadov 1 1 Azerbaijan Technical Universiy, Baku, Azerbaijan

More information

ECE ANALOG COMMUNICATIONS - INVESTIGATION 7 INTRODUCTION TO AMPLITUDE MODULATION - PART II

ECE ANALOG COMMUNICATIONS - INVESTIGATION 7 INTRODUCTION TO AMPLITUDE MODULATION - PART II ECE 405 - ANALOG COMMUNICATIONS - INVESTIGATION 7 INTRODUCTION TO AMPLITUDE MODULATION - PART II FALL 2005 A.P. FELZER To do "well" on his invesigaion you mus no only ge he righ answers bu mus also do

More information

Analog/Digital Communications Primer

Analog/Digital Communications Primer for Amaeur Radio Virginia Polyechnic Insiue & Sae Universiy March 19, 2013 # include //... in main() { floa kf = 0.1f; // modulaion facor liquid_freqdem_ype ype = LIQUID_FREQDEM_DELAYCONJ;

More information

Communications II Lecture 5: Effects of Noise on FM. Professor Kin K. Leung EEE and Computing Departments Imperial College London Copyright reserved

Communications II Lecture 5: Effects of Noise on FM. Professor Kin K. Leung EEE and Computing Departments Imperial College London Copyright reserved Communicaions II Lecure 5: Eecs o Noise on FM Proessor Kin K. Leung EEE and Compuing Deparmens Imperial College London Copyrigh reserved Ouline Recap o FM FM sysem model in noise Derivaion o oupu SNR Pre/de-emphasis

More information

AM Demodulation (peak detect.)

AM Demodulation (peak detect.) AM Deodulaion (peak deec.) Deodulaion is abou recovering he original signal--crysal Radio Exaple Anenna = Long Wire FM AM Tuning Circui A siple Diode! Deodulaion Circui (envelop of AM Signal) Filer (Mechanical)

More information

dm t t A cos 2 10 t 10

dm t t A cos 2 10 t 10 T.C. OKAN ÜNİVERSİTESİ Fauly o Engineering and Arhieure Elerial and Eleroni Engineering Program EEE 3 Analog Communiaions Fall 23 In Class Work Par 4 Soluions:. Skeh he FM and PM modulaed waveorms or he

More information

LECTURE 1 CMOS PHASE LOCKED LOOPS

LECTURE 1 CMOS PHASE LOCKED LOOPS Lecure 01 (8/9/18) Page 1-1 Objecive LECTURE 1 CMOS PHASE LOCKED LOOPS OVERVIEW Undersand he principles and applicaions of phase locked loops using inegraed circui echnology wih emphasis on CMOS echnology.

More information

4.5 Biasing in BJT Amplifier Circuits

4.5 Biasing in BJT Amplifier Circuits 4/5/011 secion 4_5 Biasing in MOS Amplifier Circuis 1/ 4.5 Biasing in BJT Amplifier Circuis eading Assignmen: 8086 Now le s examine how we C bias MOSFETs amplifiers! f we don bias properly, disorion can

More information

Power losses in pulsed voltage source inverters/rectifiers with sinusoidal currents

Power losses in pulsed voltage source inverters/rectifiers with sinusoidal currents ree-wheeling diode Turn-off power dissipaion: off/d = f s * E off/d (v d, i LL, T j/d ) orward power dissipaion: fw/t = 1 T T 1 v () i () d Neglecing he load curren ripple will resul in: fw/d = i Lavg

More information

Double Side Band Suppressed Carrier

Double Side Band Suppressed Carrier Leure 4 Double Side Band Suppressed Carrier Dr. Ahed El-Mahdy Double Side Band (DSB) Copare beween his equaion and he equaion o onvenional AM Dr. Ahed El-Mahdy SDSB() () S() 0 CARRIER SIGNAL 0-0 0 0.05

More information

Characterization of Differential Interconnects s from TDR Measurements

Characterization of Differential Interconnects s from TDR Measurements haracerizaion of Differenial Inerconnecs s fro TDR Measureens Inroducion Applicaion Noe Differenial signaling schees are a coon approach o achieving higher noise iuniy for criical signals in a high-speed

More information

doi: / Base Band Resource Distribution under C-RAN

doi: / Base Band Resource Distribution under C-RAN doi:10.21311/001.39.7.33 Base Band Resource Disribuion under C-RAN Mianian Dong School of Elecronic and Inforaion Engineering, Xi an Technological Universiy, Xi an 710021, Shaanxi, China E-ail: dong1988@126.co

More information

Ultrawideband Normalized Radar Cross Sections of Distributed Clutter

Ultrawideband Normalized Radar Cross Sections of Distributed Clutter Ulrawideband Normalized Radar Cross Secions o Disribued Cluer Ram M. Narayanan Deparmen o Elecrical Engineering The Pennsylvania Sae Universiy Universiy Park, PA 68, USA ram@engr.psu.edu Absrac Theoreical

More information

Active Filters - 1. Active Filters - 2

Active Filters - 1. Active Filters - 2 PHY35 - Elecronics Laboraory, all Term (K rong) Acie ilers - By combining op-amps wih energy-sorage elemens, circuis can be designed o gie frequency-dependen op-amp responses Acie filers are hose ha use

More information

THE IMPACT OF ADAPTATION POLICIES ON CHANNEL CAPACITY OVER RAYLEIGH FADING WITH EGC DIVERSITY

THE IMPACT OF ADAPTATION POLICIES ON CHANNEL CAPACITY OVER RAYLEIGH FADING WITH EGC DIVERSITY Inernaional Journal of Wireless & obile Neworks (IJWN) Vol. 5, No., February 3 THE IPACT OF ADAPTATION POLICIES ON CHANNEL CAPACITY OVER RAYLEIGH FADING WITH DIVERSITY oses Ekpenyong, Joseph Isabona and

More information

EE 330 Lecture 24. Amplification with Transistor Circuits Small Signal Modelling

EE 330 Lecture 24. Amplification with Transistor Circuits Small Signal Modelling EE 330 Lecure 24 Amplificaion wih Transisor Circuis Small Signal Modelling Review from las ime Area Comparison beween BJT and MOSFET BJT Area = 3600 l 2 n-channel MOSFET Area = 168 l 2 Area Raio = 21:1

More information

Wrap Up. Fourier Transform Sampling, Modulation, Filtering Noise and the Digital Abstraction Binary signaling model and Shannon Capacity

Wrap Up. Fourier Transform Sampling, Modulation, Filtering Noise and the Digital Abstraction Binary signaling model and Shannon Capacity Wrap Up Fourier ransorm Sampling, Modulaion, Filering Noise and he Digial Absracion Binary signaling model and Shannon Capaciy Copyrigh 27 by M.H. Perro All righs reserved. M.H. Perro 27 Wrap Up, Slide

More information

Mathematical model based software design for simulation of 4G wireless protocols

Mathematical model based software design for simulation of 4G wireless protocols INTERNATIONAL JOURNAL OF COMPUTERS AND COMMUNICATIONS Issue, Volue 7, 03 Maheaical odel based sofware design for siulaion of 4G wireless proocols E. Kačerginskis, L. Narbuaiė Absrac Ipleenaion of new generaion

More information

EXPERIMENT #9 FIBER OPTIC COMMUNICATIONS LINK

EXPERIMENT #9 FIBER OPTIC COMMUNICATIONS LINK EXPERIMENT #9 FIBER OPTIC COMMUNICATIONS LINK INTRODUCTION: Much of daa communicaions is concerned wih sending digial informaion hrough sysems ha normally only pass analog signals. A elephone line is such

More information

MEASUREMENTS OF VARYING VOLTAGES

MEASUREMENTS OF VARYING VOLTAGES MEASUREMENTS OF ARYING OLTAGES Measuremens of varying volages are commonly done wih an oscilloscope. The oscilloscope displays a plo (graph) of volage versus imes. This is done by deflecing a sream of

More information

A Framework for Statistical Characterization of Indoor Data Traffic for Efficient Dynamic Spectrum Access in the 2.4 GHz ISM Band

A Framework for Statistical Characterization of Indoor Data Traffic for Efficient Dynamic Spectrum Access in the 2.4 GHz ISM Band A Fraewor or Saisical Characerizaion o Indoor Daa Traic or Eicien Dynaic Specru Access in he.4 GHz ISM Band Muhaad Khurra Ehsan and Dir Dahlhaus Counicaions Laboraory, Universiy o Kassel, Gerany Eail:

More information

Diodes. Diodes, Page 1

Diodes. Diodes, Page 1 Diodes, Page 1 Diodes V-I Characerisics signal diode Measure he volage-curren characerisic of a sandard signal diode, he 1N914, using he circui shown below. The purpose of he back-o-back power supplies

More information

Lab 3 Acceleration. What You Need To Know: Physics 211 Lab

Lab 3 Acceleration. What You Need To Know: Physics 211 Lab b Lab 3 Acceleraion Wha You Need To Know: The Physics In he previous lab you learned ha he velociy of an objec can be deermined by finding he slope of he objec s posiion vs. ime graph. x v ave. = v ave.

More information

Connection. Input II EEx ia IIC without SC red. Composition

Connection. Input II EEx ia IIC without SC red. Composition Sandsill conroller Oupu: relay Connecion Inpu I EEx ia IIC Inpu II EEx ia IIC 1-channel Conrol circui EEx ia IIC Addiional inpu or roaion direcion deecion or sar-up override 2 relay oupus Inpu requency

More information

Example Message bandwidth and the transmitted signal bandwidth

Example Message bandwidth and the transmitted signal bandwidth 4.6 Bandwidh-Eiien Modulaions 4.74. We are now going o deine a quaniy alled he bandwidh o a signal. Unorunaely, in praie, here isn jus one deiniion o bandwidh. Deiniion 4.75. The bandwidh (BW) o a signal

More information

Analog Circuits EC / EE / IN. For

Analog Circuits EC / EE / IN.   For Analog Circuis For EC / EE / IN By www.hegaeacademy.com Syllabus Syllabus for Analog Circuis Small Signal Equivalen Circuis of Diodes, BJTs, MOSFETs and Analog CMOS. Simple Diode Circuis, Clipping, Clamping,

More information

Introduction: Analog Communication: Goal: Transmit a message from one location to another.

Introduction: Analog Communication: Goal: Transmit a message from one location to another. ECE-5 Phil Schnier January 6, 8 Inroducion: Goal: Transmi a rom one locaion o anoher When is coninuous waveorm analog comm (eg, FM radio), sequence o numbers digial comm (eg, mp ile), hough he sequence

More information

Passband Data Transmission II References Frequency-shift keying Chapter 6.5, S. Haykin, Communication Systems, Wiley. H.1

Passband Data Transmission II References Frequency-shift keying Chapter 6.5, S. Haykin, Communication Systems, Wiley. H.1 Passand Daa ransmission II Reerences Frequency-shi keying Chaper 6.5, S. Haykin, Communicaion Sysems, Wiley. H. Inroducion Inroducion PSK and QAM are linear modulaion FSK is a nonlinear modulaion Similar

More information

The Comparisonal Analysis of the Concept of Rectangular and Hexagonal Pilot in OFDM

The Comparisonal Analysis of the Concept of Rectangular and Hexagonal Pilot in OFDM Communicaions and ework, 2009, 01-05 doi:10.4236/cn.2009.11001 Published Online Augus 2009 (hp://www.scirp.org/journal/cn) The Comparisonal Analysis o he Concep o Recangular and Hexagonal Pilo in OFDM

More information

Probability distributions relevant to radiowave propagation modelling

Probability distributions relevant to radiowave propagation modelling Recoendaion ITU-R P.57-3 (9/3) Probabiliy disribuions relevan o radiowave propagaion odelling P Series Radiowave propagaion ii Rec. ITU-R P.57-3 Foreword The role of he Radiocounicaion Secor is o ensure

More information

High Chopper Frequency Drive of Wound Rotor Induction Motor With a Resistively Loaded Rotor Chopper

High Chopper Frequency Drive of Wound Rotor Induction Motor With a Resistively Loaded Rotor Chopper High Chopper Frequency Drive o Wound Roor Inducion Moor Wih a Resisively Loaded Roor Chopper Hilmi Fadhil Amin Salahaddin Universiy-Erbil Elecrical Enginnering Deparmen hilmi_adhil @yahoo.com ABSTACT This

More information

SIGNALS AND SYSTEMS LABORATORY 10: Sampling, Reconstruction, and Rate Conversion

SIGNALS AND SYSTEMS LABORATORY 10: Sampling, Reconstruction, and Rate Conversion SIGNALS AND SYSTEMS LABORATORY : Sampling, Reconsrucion, and Rae Conversion INTRODUCTION Digial signal processing is preerred over analog signal processing when i is easible. Is advanages are ha he qualiy

More information

Lines and Angles Notes Geometry Unit 3: Lesson 1. Parallel lines. Skew lines. Parallel planes. Transversal. Alternate Interior Angles t

Lines and Angles Notes Geometry Unit 3: Lesson 1. Parallel lines. Skew lines. Parallel planes. Transversal. Alternate Interior Angles t Lines and Angles Noes Geoery Uni 3: Lesson 1 Nae Parallel lines D C Skew lines A B Parallel planes E H F G Transversal Alernae Inerior Angles, 4 1 2 3 l Alernae Exerior Angles, 5 6 8 7 Corresponding Angles,,,

More information

Knowledge Transfer in Semi-automatic Image Interpretation

Knowledge Transfer in Semi-automatic Image Interpretation Knowledge Transfer in Semi-auomaic Image Inerpreaion Jun Zhou 1, Li Cheng 2, Terry Caelli 23, and Waler F. Bischof 1 1 Deparmen of Compuing Science, Universiy of Albera, Edmonon, Albera, Canada T6G 2E8

More information

Notes on the Fourier Transform

Notes on the Fourier Transform Noes on he Fourier Transform The Fourier ransform is a mahemaical mehod for describing a coninuous funcion as a series of sine and cosine funcions. The Fourier Transform is produced by applying a series

More information

Recognition of Wavelength-multiplexed Labels with Acoustooptic Waveguide Circuit for Hierarchical Photonic Routing

Recognition of Wavelength-multiplexed Labels with Acoustooptic Waveguide Circuit for Hierarchical Photonic Routing PIERS ONLINE, VOL. 5, NO. 4, 29 336 Recogniion of Wavelengh-uliplexed Labels wih Acousoopic Waveguide Circui for Hierarchical Phoonic Rouing Nobuo Goo and Yasuisu Miyazai 2 The Universiy of Toushia, Japan

More information

Announcement. Allowed

Announcement. Allowed 9//05 nnouncemen Firs es: Sep. 8, Chap. -4 llowed wriing insrumen poce calculaor ruler One 8.5" " paper conaining consans, formulas, and any oher informaion ha you migh find useful (NOT any inds of soluions).

More information

Chapter 2: Fourier Representation of Signals and Systems

Chapter 2: Fourier Representation of Signals and Systems Tes 1 Review Tes 1 Review Proessor Deepa Kundur Universiy o Torono Reerence: Secions: 2.1, 2.2, 2.3, 2.4, 2.5, 2.6, 2.7 3.1, 3.2, 3.3, 3.4, 3.5, 3.6 o S. Haykin and M. Moher, Inroducion o Analog & Digial

More information

OpenStax-CNX module: m Elemental Signals. Don Johnson. Perhaps the most common real-valued signal is the sinusoid.

OpenStax-CNX module: m Elemental Signals. Don Johnson. Perhaps the most common real-valued signal is the sinusoid. OpenSax-CNX module: m0004 Elemenal Signals Don Johnson This work is produced by OpenSax-CNX and licensed under he Creaive Commons Aribuion License.0 Absrac Complex signals can be buil from elemenal signals,

More information

10. The Series Resistor and Inductor Circuit

10. The Series Resistor and Inductor Circuit Elecronicsab.nb 1. he Series esisor and Inducor Circui Inroducion he las laboraory involved a resisor, and capacior, C in series wih a baery swich on or off. I was simpler, as a pracical maer, o replace

More information

P. Bruschi: Project guidelines PSM Project guidelines.

P. Bruschi: Project guidelines PSM Project guidelines. Projec guidelines. 1. Rules for he execuion of he projecs Projecs are opional. Their aim is o improve he sudens knowledge of he basic full-cusom design flow. The final score of he exam is no affeced by

More information

Chapter 2 Introduction: From Phase-Locked Loop to Costas Loop

Chapter 2 Introduction: From Phase-Locked Loop to Costas Loop Chaper 2 Inroducion: From Phase-Locked Loop o Cosas Loop The Cosas loop can be considered an exended version of he phase-locked loop (PLL). The PLL has been invened in 932 by French engineer Henri de Belleszice

More information

Chapter 5 Amplitude Modulation

Chapter 5 Amplitude Modulation Chaper 5 pliude Modulaion 68 nalog Couniaion Syse Inoraion Soure Signal Modulaor Propagaion Channel Signal Deodulaor Inoraion Desinaion nalog signals ay be ransied direly via arrier odulaion over he propagaion

More information

Intermediate Frequency (IF)

Intermediate Frequency (IF) Inerediae Frequeny IF Iage frequeny p. II-33 Apliude Modulaion: SSB DSB odulaion: By ixing wih a inuoidal arrier a rad/e, half of hi peral deniy i ranlaed up in frequeny and enered abou and half i ranlaed

More information

EE368/CS232 Digital Image Processing Winter Homework #1 Released: Monday, January 8 Due: Wednesday, January 17, 1:30pm

EE368/CS232 Digital Image Processing Winter Homework #1 Released: Monday, January 8 Due: Wednesday, January 17, 1:30pm EE368/CS232 Digial Image Processing Winer 207-208 Lecure Review and Quizzes (Due: Wednesday, January 7, :30pm) Please review wha you have learned in class and hen complee he online quiz quesions for he

More information

ECE-517 Reinforcement Learning in Artificial Intelligence

ECE-517 Reinforcement Learning in Artificial Intelligence ECE-517 Reinforcemen Learning in Arificial Inelligence Lecure 11: Temporal Difference Learning (con.), Eligibiliy Traces Ocober 8, 2015 Dr. Iamar Arel College of Engineering Deparmen of Elecrical Engineering

More information

Bootstrap Gate Driver and Output Filter of An SC-based Multilevel Inverter for Aircraft APU

Bootstrap Gate Driver and Output Filter of An SC-based Multilevel Inverter for Aircraft APU Asian Power Elecronics Journal, Vol. 9, No. 2, Dec. 215 Boosrap Gae Driver and Oupu Filer o An C-based Mulilevel Inverer or Aircra APU Yuanmao YE,K.W.Eric CHENG, N.C. Cheung Power Elecronics Research Cenre,

More information

Target Detection by Multisite Ultra-Wideband Radar Systems with Information Fusion

Target Detection by Multisite Ultra-Wideband Radar Systems with Information Fusion Targe Deecion by Mulisie Ulra-Wideband Radar Syses wih Inforaion Fusion V. CHERNYAK Moscow Aviaion Insiue (Sae Technical Universiy) 31-1-1, Volgina ul., Moscow, 117437 RUSSIA Absrac -Deecion characerisics

More information

) 3.75 sin 2 10 t 25 sin(6 10 t )

) 3.75 sin 2 10 t 25 sin(6 10 t ) Hoework NAME Solutions EE 442 Hoework #6 Solutions (Spring 2018 Due April 2, 2018 ) Print out hoework and do work on the printed pages. Proble 1 Tone-Modulated FM Signal (12 points) A 100 MHz carrier wave

More information

SUBSPACE-BASED 2 DIMENSIONAL LOCALIZATION IN A MULTISTATIC PASSIVE RADAR USING 2 RECIEVER ARRAY

SUBSPACE-BASED 2 DIMENSIONAL LOCALIZATION IN A MULTISTATIC PASSIVE RADAR USING 2 RECIEVER ARRAY Indian Journal of Fundaenal and Applied Life Sciences ISSN: 31 6345 (Online An Open Access, Online Inernaional Journal Available a www.cibech.org/sp.ed/jls/014/04/jls.h 014 Vol. 4 (S4, pp. 1360-1366/Lalehabadi

More information

MET 487 Instrumentation and Automatic Control. Topics of Discussion

MET 487 Instrumentation and Automatic Control. Topics of Discussion MET 487 Insrumenaion and Auomaic onrol Sysem Response Paul I-Hai I Lin, Professor Elecrical and ompuer Engineering Technology Purdue Universiy For Wayne ampus Tex Book: Inro o Mecharonics and Measuremen

More information

(This lesson plan assumes the students are using an air-powered rocket as described in the Materials section.)

(This lesson plan assumes the students are using an air-powered rocket as described in the Materials section.) The Mah Projecs Journal Page 1 PROJECT MISSION o MArs inroducion Many sae mah sandards and mos curricula involving quadraic equaions require sudens o solve "falling objec" or "projecile" problems, which

More information

Universal microprocessor-based ON/OFF and P programmable controller MS8122A MS8122B

Universal microprocessor-based ON/OFF and P programmable controller MS8122A MS8122B COMPETENCE IN MEASUREMENT Universal microprocessor-based ON/OFF and P programmable conroller MS8122A MS8122B TECHNICAL DESCRIPTION AND INSTRUCTION FOR USE PLOVDIV 2003 1 I. TECHNICAL DATA Analog inpus

More information

FROM ANALOG TO DIGITAL

FROM ANALOG TO DIGITAL FROM ANALOG TO DIGITAL OBJECTIVES The objecives of his lecure are o: Inroduce sampling, he Nyquis Limi (Shannon s Sampling Theorem) and represenaion of signals in he frequency domain Inroduce basic conceps

More information

Lecture 5: DC-DC Conversion

Lecture 5: DC-DC Conversion 1 / 31 Lecure 5: DC-DC Conversion ELEC-E845 Elecric Drives (5 ECTS) Mikko Rouimo (lecurer), Marko Hinkkanen (slides) Auumn 217 2 / 31 Learning Oucomes Afer his lecure and exercises you will be able o:

More information

Communication Systems. Department of Electronics and Electrical Engineering

Communication Systems. Department of Electronics and Electrical Engineering COMM 704: Communicaion Lecure : Analog Mulipliers Dr Mohamed Abd El Ghany Dr. Mohamed Abd El Ghany, Mohamed.abdel-ghany@guc.edu.eg nroducion Nonlinear operaions on coninuous-valued analog signals are ofen

More information

Table of Contents. 3.0 SMPS Topologies. For Further Research. 3.1 Basic Components. 3.2 Buck (Step Down) 3.3 Boost (Step Up) 3.4 Inverter (Buck/Boost)

Table of Contents. 3.0 SMPS Topologies. For Further Research. 3.1 Basic Components. 3.2 Buck (Step Down) 3.3 Boost (Step Up) 3.4 Inverter (Buck/Boost) Table of Conens 3.0 SMPS Topologies 3.1 Basic Componens 3.2 Buck (Sep Down) 3.3 Boos (Sep Up) 3.4 nverer (Buck/Boos) 3.5 Flyback Converer 3.6 Curren Boosed Boos 3.7 Curren Boosed Buck 3.8 Forward Converer

More information

Microwave Transistor Oscillator Design

Microwave Transistor Oscillator Design Tuorial on Modern Ulra Low Noise Microwave Transisor Oscillaor Design olumbia Universiy Sepember, 9 Ulrich L. Rohde, Ph.D.* hairman Synergy Microwave orp. *Prof. of RF ircui and Microwave ircui Design

More information

DATA SHEET. 1N914; 1N916 High-speed diodes DISCRETE SEMICONDUCTORS Sep 03

DATA SHEET. 1N914; 1N916 High-speed diodes DISCRETE SEMICONDUCTORS Sep 03 DISCRETE SEMICONDUCTORS DATA SHEET M3D176 Supersedes daa of April 1996 File under Discree Semiconducors, SC01 1996 Sep 03 FEATURES Hermeically sealed leaded glass SOD27 (DO-35) package High swiching speed:

More information

EEO 401 Digital Signal Processing Prof. Mark Fowler

EEO 401 Digital Signal Processing Prof. Mark Fowler EEO 40 Digial Proceing Pro. Mark Fowler Noe Se #3 Baic Sampling heory Reading Aignmen: Sec. 6. o Proaki & Manolaki /9 Sampling i Key o Much o oday echnology Analog Elecronic ADC DSP Compuer DAC C- C- Syem

More information

Mobile Communications Chapter 2: Wireless Transmission

Mobile Communications Chapter 2: Wireless Transmission This book ocuses on higher layer aspecs o mobile communicaions, he compuer science elemens raher han on he radio and ransmission aspecs, he elecrical engineering par. This chaper inroduces only hose undamenal

More information

Two-area Load Frequency Control using IP Controller Tuned Based on Harmony Search

Two-area Load Frequency Control using IP Controller Tuned Based on Harmony Search Research Journal of Applied Sciences, Engineering and Technology 3(12): 1391-1395, 211 ISSN: 24-7467 Maxwell Scienific Organizaion, 211 Submied: July 22, 211 Acceped: Sepember 18, 211 Published: December

More information

A Bidirectional Three-Phase Push-Pull Converter With Dual Asymmetrical PWM Method

A Bidirectional Three-Phase Push-Pull Converter With Dual Asymmetrical PWM Method A Bidirecional Three-Phase Push-Pull Converer Wih Dual Asymmeral PWM Mehod Minho Kwon, Junsung Par, Sewan Choi, IEEE Senior Member Deparmen of Elecral and Informaion Engineering Seoul Naional Universiy

More information

State Space Modeling, Simulation and Comparative Analysis of a conceptualised Electrical Control Signal Transmission Cable for ROVs

State Space Modeling, Simulation and Comparative Analysis of a conceptualised Electrical Control Signal Transmission Cable for ROVs Sae Space Modeling, Simulaion and omparaive Analysis of a concepualised Elecrical onrol Signal ransmission able for ROVs James Naganda, Deparmen of Elecronic Engineering, Konkuk Universiy, Seoul, Korea

More information

EE201 Circuit Theory I Fall

EE201 Circuit Theory I Fall EE1 Circui Theory I 17 Fall 1. Basic Conceps Chaper 1 of Nilsson - 3 Hrs. Inroducion, Curren and Volage, Power and Energy. Basic Laws Chaper &3 of Nilsson - 6 Hrs. Volage and Curren Sources, Ohm s Law,

More information

Angle Modulation (Phase & Frequency Modulation) EE442 Lecture 8. Spring 2017

Angle Modulation (Phase & Frequency Modulation) EE442 Lecture 8. Spring 2017 Angle Modulaion (Phase & Frequency Modulaion) EE442 Lecure 8 Spring 2017 1 Ampliude, Frequency and Phase Modulaion Wih ew excepions, Phase Modulaion (PM) is used primarily in digial communicaion 2 Why

More information

EECE 301 Signals & Systems Prof. Mark Fowler

EECE 301 Signals & Systems Prof. Mark Fowler EECE 301 s & Sysems Prof. Mark Fowler Noe Se #1 Wha is s & Sysems all abou??? 1/9 Do All EE s & CoE s Design Circuis? No!!!! Someone has o figure ou wha funcion hose circuis need o do Someone also needs

More information

Disribued by: www.jameco.com 1-800-831-4242 The conen and copyrighs of he aached maerial are he propery of is owner. 16K-Bi CMOS PARALLEL E 2 PROM FEATURES Fas Read Access Times: 200 ns Low Power CMOS

More information

Signal Characteristics

Signal Characteristics Signal Characerisics Analog Signals Analog signals are always coninuous (here are no ime gaps). The signal is of infinie resoluion. Discree Time Signals SignalCharacerisics.docx 8/28/08 10:41 AM Page 1

More information

ECMA st Edition / June Near Field Communication Wired Interface (NFC-WI)

ECMA st Edition / June Near Field Communication Wired Interface (NFC-WI) ECMA-373 1 s Ediion / June 2006 Near Field Communicaion Wired Inerface (NFC-WI) Sandard ECMA-373 1 s Ediion / June 2006 Near Field Communicaion Wired Inerface (NFC-WI) Ecma Inernaional Rue du Rhône 114

More information

Enhancement of noisy speech signal based on variance and modified gain function with PDE preprocessing technique for digital hearing aid

Enhancement of noisy speech signal based on variance and modified gain function with PDE preprocessing technique for digital hearing aid 33 Journal o Scieniic & Indusrial Research J SCI IND RES VO 70 MAY 0 Vol. 70, May 0, pp. 33-337 Enhancemen o noisy speech signal based on variance and modiied gain uncion wih PDE preprocessing echnique

More information

Kalman Filtering Some Examples JUSU JANG MOASOFT

Kalman Filtering Some Examples JUSU JANG MOASOFT Kalman Filering Some Eamples JUSU JANG OASOFT Kalman Filering - Linear. General Equaions F Gu w : he saes of he sysem F : he sysem dynamics u : conrol vecor Q E[ ww ] Q : process noise mari ( process covariance

More information

COMM702: Modulation II

COMM702: Modulation II COMM70: Modulaion II Leure 4 - Coheren and non-oheren inary pass-and daa ransmission Binary Digial Modulaion Sinusoidal Carrier Digial Message ASK FSK PSK Parameers o Digial Pass-and ransmission Proailiy

More information

3D Spatial Touch System Based on Time-of-Flight Camera

3D Spatial Touch System Based on Time-of-Flight Camera 3D Spaial Touch Syse Based on Tie-of-Fligh Caera YANG-KEUN AHN, YOUNG-CHOONG PARK, KWANG-SOON CHOI, WOO-CHOOL PARK, HAE-MOON SEO and KWANG-MO JUNG Korea Elecronics Technology Insiue, #1599, Sanga-dong,

More information

Calculation on the Inter-Lobe Clearance Distribution of Twin-Screw Compressor by Optimization Method

Calculation on the Inter-Lobe Clearance Distribution of Twin-Screw Compressor by Optimization Method Purdue Universi Purdue e-pubs Inernaional Compressor Engineering Conference School of echanical Engineering 6 Calculaion on he Iner-Lobe Clearance Disribuion of Twin-Screw Compressor b Opimiaion ehod Wei

More information

Evaluation of Instantaneous Reliability Measures for a Gradual Deteriorating System

Evaluation of Instantaneous Reliability Measures for a Gradual Deteriorating System General Leers in Mahemaic, Vol. 3, No.3, Dec 27, pp. 77-85 e-issn 259-9277, p-issn 259-9269 Available online a hp:\\ www.refaad.com Evaluaion of Insananeous Reliabiliy Measures for a Gradual Deerioraing

More information

Noise Synthetic Aperture Radar (SAR) Imagery Compressing and. Reconstruction Based on Compressed Sensing

Noise Synthetic Aperture Radar (SAR) Imagery Compressing and. Reconstruction Based on Compressed Sensing Noise Synheic Aperure Radar (SAR) Iagery Copressing and Reconsrucion Based on Copressed Sensing Huihuang Zhao 1,,a,Juan F. Lopez Jr.,b, Shuxia Li,c Yufeng Cao,d, Zhiun Qiao,e 1 Copuer Science Deparen,

More information

ANALOG AND DIGITAL SIGNAL PROCESSING LABORATORY EXPERIMENTS : CHAPTER 3

ANALOG AND DIGITAL SIGNAL PROCESSING LABORATORY EXPERIMENTS : CHAPTER 3 Laboraory # Chap 3 Objecives Linear Sysem Response: general case Undersand he difference and he relaionship beween a sep and impulse response. Deermine he limis of validiy of an approximaed impulse response.

More information

SERVOMOTOR CONTROL USING DIRECT DIGITAL CONTROL AND STATE-SPACE TECHNIQUE

SERVOMOTOR CONTROL USING DIRECT DIGITAL CONTROL AND STATE-SPACE TECHNIQUE SERVOMOTOR CONTROL USING DIRECT DIGITAL CONTROL AND STATE-SPACE 4 Jurnal Teknologi, 49(D) Dis. 8: 4 6 Universii Teknologi Malaysia SERVOMOTOR CONTROL USING DIRECT DIGITAL CONTROL AND STATE-SPACE TECHNIQUE

More information

A1 K. 12V rms. 230V rms. 2 Full Wave Rectifier. Fig. 2.1: FWR with Transformer. Fig. 2.2: Transformer. Aim: To Design and setup a full wave rectifier.

A1 K. 12V rms. 230V rms. 2 Full Wave Rectifier. Fig. 2.1: FWR with Transformer. Fig. 2.2: Transformer. Aim: To Design and setup a full wave rectifier. 2 Full Wave Recifier Aim: To Design and seup a full wave recifier. Componens Required: Diode(1N4001)(4),Resisor 10k,Capacior 56uF,Breadboard,Power Supplies and CRO and ransformer 230V-12V RMS. + A1 K B1

More information

A New Voltage Sag and Swell Compensator Switched by Hysteresis Voltage Control Method

A New Voltage Sag and Swell Compensator Switched by Hysteresis Voltage Control Method Proceedings of he 8h WSEAS Inernaional Conference on ELECTRIC POWER SYSTEMS, HIGH VOLTAGES, ELECTRIC MACHINES (POWER '8) A New Volage Sag and Swell Compensaor Swiched by Hyseresis Volage Conrol Mehod AMIR

More information

NCTM Content Standard/National Science Education Standard:

NCTM Content Standard/National Science Education Standard: Tile: Logarihms Brief Overview: In his Concep Developmen Uni, he concep of logarihms is discussed. The relaionship beween eponenial equaions and logarihmic equaions is eplored. The properies of logs are

More information

Pulse Train Controlled PCCM Buck-Boost Converter Ming Qina, Fangfang Lib

Pulse Train Controlled PCCM Buck-Boost Converter Ming Qina, Fangfang Lib 5h Inernaional Conference on Environmen, Maerials, Chemisry and Power Elecronics (EMCPE 016 Pulse Train Conrolled PCCM Buck-Boos Converer Ming Qina, Fangfang ib School of Elecrical Engineering, Zhengzhou

More information

Phase-Shifting Control of Double Pulse in Harmonic Elimination Wei Peng1, a*, Junhong Zhang1, Jianxin gao1, b, Guangyi Li1, c

Phase-Shifting Control of Double Pulse in Harmonic Elimination Wei Peng1, a*, Junhong Zhang1, Jianxin gao1, b, Guangyi Li1, c Inernaional Symposium on Mechanical Engineering and Maerial Science (ISMEMS 016 Phase-Shifing Conrol of Double Pulse in Harmonic Eliminaion Wei Peng1, a*, Junhong Zhang1, Jianxin gao1, b, Guangyi i1, c

More information