Communication Theory II
|
|
- Leonard Marshall
- 5 years ago
- Views:
Transcription
1 Cmmunicatin Thery II Lecture 3: Review n Furier analysis (cnt d) Ahmed Elnakib, PhD Assistant Prfessr, Mansura University, Egypt Febraury 15 th,
2 Sectin plicy Gal: slve assciated prblems related t the tpic f the lectures Assistant lectures: help yu in slving the prblem Each student will slve the assigned questins and the assistant will help yu if yu have any questins Needed materials: 1) The sheet, Furier tables (sfcpy r hardcpy) 2) A ntebk, a pencil, and an eraser 2
3 Curse Website The site cntains the lectures, quizzes, hmewrk, and pen frums fr feedback and questins Lg in using yur name and passwrd Passwrd fr quizzes: third 3
4 Circuit switching vs. packet switching (a) (b) Circuit switching (link sharing is based n fixed allcatin) vs. packet switching (message is divided int segments r packets if necessary, sharing is per demand) * * Image curtesy f 4
5 Lecture Outlines Review n Furier analysis f signals and systems The Furier series The Furier transfrm Relatin between time and frequency representatins The Dirac delta functin Furier transfrm f peridic signals Transmissin d signals thrugh LTI systems Hilbert transfrm 5
6 The Furier series Let dente a peridic signal, where the subscript T 0 dentes the duratin f peridicity. By using a Furier series expansin f this signal, we are able t reslve it int an infinite sum f sine and csine terms: Where is the fundamental frequency represent the amplitudes f the csine and sine terms, respectively are called basis functins 6
7 Basis functins ( ) Frm an rthgnal set ver the perid T 0 In that they satisfy three cnditins: 7
8 Mean value (a 0 ) and ther cefficients Integrate ver a cmplete perid bth sides f the equatin: yields: Other cefficients: 8
9 Existence f Furier series A peridic signal can be expanded in a Furier series if the signal satisfies the Dirichlet cnditins: Frm an engineering perspective, hwever, it suffices t say that the Dirichlet cnditins are satisfied by the peridic signals encuntered in cmmunicatin systems 9
10 Cmplex expnential Furier series Where Inner prduct f the signal with the basis functin [ ] 10
11 The Furier Transfrm Representatin f nn-peridic signals Derivatin is based n Furier series (text bk: page 16,17) 11
12 Existence f Furier Transfrm Physical realizability is a sufficient cnditin fr the existence f a Furier transfrm (e.g., all energy signals are Furier transfrmable ). Cnditin fr energy signal: 12
13 Energy vs. pwer signals 13
14 Furier Transfrm Prvides mathematical tls fr measuring the frequency cntent r spectrum f a signal G(f) is the Furier transfrm r the spectrum f the signal Simple evaluatin f magnitude spectrum G(f) and phase spectrum G(f) 14
15 Tables 15
16 16
17 Relatin between time and frequency respnse If the time-dmain descriptin f a signal is changed, the frequency-dmain descriptin f the signal is changed in an inverse manner, and vice versa. If a signal is strictly limited in frequency, then the time-dmain descriptin f the signal will trail n indefinitely, even thugh its amplitude may assume a prgressively smaller value. A signal is strictly limited in frequency (i.e., strictly band limited) if its Furier transfrm is exactly zer utside a finite band f frequencies. If a signal is strictly limited in time (i.e., the signal is exactly zer utside a finite time interval), then the spectrum f the signal is infinite in extent, even thugh the magnitude spectrum may assume a prgressively smaller value. A signal cannt be strictly limited in bth time and frequency Time bandwidth prduct: duratin bandwidth = cnstant 17
18 The bandwidth dilemma The bandwidth f a signal prvides a measure f the extent f significant spectral cntent f the signal fr psitive frequencies. When the signal is strictly band limited, the bandwidth is well defined. Fr example, the sinc pulse sinc(2wt) has a bandwidth equal t W. If a signal is lw-pass (i.e., its spectral cntent is centered arund the rigin f = 0), the bandwidth is defined as ne-half the ttal width f the main spectral lbe, since nly ne-half f this lbe lies inside the psitive frequency regin rect t f) B.W=1/T T -0.5T 0.5T -1/T 1/T 18
19 The bandwidth dilemma (cn d) If the signal is band-pass with main spectral lbes centered arund ±fc where fc is large enugh, the bandwidth is defined as the width f the main lbe fr psitive frequencies. This definitin f bandwidth is called the null-t-null bandwidth. B.W=2/T Magnitude spectrum f the RF pulse, shwing the null-t-null bandwidth t be 2/T, centered n the mid-band frequency fc 19
20 3 db bandwidth The 3 db bandwidth f a lw-pass signal is defined as the separatin between zer frequency, where the magnitude spectrum attains its peak value, and the psitive frequency at which the amplitude spectrum drps t f its peak value. 20
21 The Dirac delta functin Evlutin f the sinc functin 2W sinc(2wt) tward the delta functin as the parameter W prgressively increases 21
22 Furier transfrm f peridic signals Can Furier transfrm wrks fr peridic signals? 22
23 Furier transfrm fr analyzing signals and systems Prvides the mathematical link between the time dmain f a signal (wavefrm) and its frequency dmain (spectrum) Time and frequency respnse f a linear time-invariant (LTI) system defined in terms f its impulse respnse and frequency respnse, respectively F F F -1 23
24 LTI system If and x 1 (n) h(n) y 1 (n) x 2 (n) h(n) y 2 (n) If x 1 (n) h(n) y 1 (n) Then x 1 (n-k) h(n) y 1 (n-k) Then a 1 y 1 (n)+a 2 y 2 (n)=h{a 1 x 1 (n)+a 2 x 2 (n)} Where a1, a2 are scalars (a) (b) A (a) linear and (b) a time invariant system 24
25 Questins 25
Communication Theory II
Cmmunicatin Thery II Lecture 2: Review n Furier analysis f signals and systems Ahmed Elnakib, PhD Assistant Prfessr, Mansura University, Egypt Febraury 12 th, 2015 1 Quiz 1 In a blank paper write yur name
More informationTopic 3: Fourier Series (FS)
ELEC361: Signals And Systems Tpic 3: Furier Series (FS) Dr. Aishy Amer Cncrdia University Electrical and Cmputer Engineering Intrductin t frequency analysis f signals Furier series f CT peridic signals
More informationELECTRICAL CIRCUITS LABORATORY II EEE 209 EXPERIMENT-6. Operational Amplifiers II
ADANA SCIENCE AND TECHNOLOGY UNIVERSITY ELECTRICAL ELECTRONICS ENGINEERING DEPARTMENT ELECTRICAL CIRCUITS LABORATORY II EEE 209 EXPERIMENT-6 Operatinal Amplifiers II OPERATIONAL AMPLIFIERS Objectives The
More informationPhasor Representation
Phasr Representatin Phase Phase difference Phasrs Phasr Transfrmatins Phase f sine wave An angular measurement that specifies the psitin f that sine wave relative t a reference When the sine wave is shifted
More informationEE 311: Electrical Engineering Junior Lab Phase Locked Loop
Backgrund Thery EE 311: Electrical Engineering Junir Lab Phase Lcked Lp A phase lcked lp is a cntrlled scillatr whse instantaneus frequency is dynamically adjusted thrugh multiplicative feedback and lw
More informationITT Technical Institute. ET245 Electronic Devices II Onsite Course SYLLABUS
ITT Technical Institute ET245 Electrnic Devices II Onsite Curse SYLLABUS Credit hurs: 4 Cntact/Instructinal hurs: 50 (30 Thery Hurs, 20 Lab Hurs) Prerequisite(s) and/r Crequisite(s): Prerequisite: ET215
More informationSpring 06 Assignment 3: Robot Motion, Game Theory
15-381 Spring 06 Assignment 3: Rbt Mtin, Game Thery Questins t Rng Yan(yanrng@cs.cmu.edu) Out: 2/21/06 Due: 3/7/06 Name: Andrew ID: Please turn in yur answers n this assignment (etra cpies can be btained
More informationINSTRUCTION BOOKLET (PUZZLES BY NIKOLA ZIVANOVIC)
LMI DECEMBER PUZZLE TEST PUZZLES & CHESS -2. DECEMBER 200. INSTRUCTION BOOKLET (PUZZLES BY NIKOLA ZIVANOVIC) SUBMISSION: http://lgicmastersindia.cm/m2002p 0 PUZZLES 70 MINUTES POINTS TABLE CHESS BATTLESHIPS
More information(c) Compute the maximum instantaneous power dissipation of the transistor under worst-case conditions. Hint: Around 470 mw.
Hmewrk b ECE (F) 8 prblems fr 00 pts Due Oct A. Unidirectinal Current Bster Analysis ) Cnsider the current bster shwn in Fig.. Assume an ideal p amp with V CC = 9V. The transistr is a N904, and use data
More informationSpectrum Representation
Spectrum Representatin Lecture #4 Chapter 3 99 What Is this Curse All Abut? T Gain an Appreciatin f the Varius Types f Signals and Systems T Analyze The Varius Types f Systems T Learn the Sills and Tls
More informationConsult with this syllabus before asking questions regarding the course rules. There will no exceptions to these rules.
Syllabus Cnsult with this syllabus befre asking questins regarding the curse rules. There will n exceptins t these rules. Curse: Math 20F: Linear Algebra Instructr Office Hurs: Prfessr Harel (APM 7420):
More informationANTIOCH UNIVERSITY VIRTIUAL WRITING CENTER
IDENTIFYING AUDIENCE AND PURPOSE As yu mve further int yur research, it can be helpful t step back and name the purpse and audience yu think yur writing will serve. The prcess belw will help yu sift thrugh
More informationThe Mathematics of the Rubik s Cube
In this lessn, students will explre the pssible number ways the pieces f a Rubik's Cube can be arranged, and still fit the criteria fr a Rubik's Cube. Clrs are riented in a set way, s sme pieces (such
More informationThe demand for a successful flaw analysis is that the test equipment produces no distortion on the echos no noise. I _... I i.j J...
SYSTEM ANALYSIS FOR WIDE BAND ULTRASONIC TEST SET-UPS Ulrich Opara Krautkramer GmbH Clgne, West Germany INTRODUCTION In the last years, the discussins abut ultrasnic test equipment fcussed n amplifier
More informationLab3 Audio Amplifier (Sep 25)
GOAL Lab3 Audi Amplifier (Sep 25) The gal f Lab 3 is t demnstrate an audi amplifier based n an p amp and ttem-ple stage. OBJECTIVES 1) Observe crssver distrtin in a Class B ttem-ple stage. 2) Measure frequency
More information1.12 Equipment Manager
Mdule 1 Categry 1 1.12 Equipment Manager Functin f the windw The windw is the central data file fr the Kntrl Pr and cllects the main data fr fees f an bject that t be used in this prject. The Equipment
More informationGRFX 1801: Game Development for Platforms
GRFX 1801: Game Develpment fr Platfrms Instructr Camern Buckley Email cbuckley@astate.edu Office Lcatin Fine Arts Center 123 Office Hurs Friday 10a 1p Curse Overview Intermediate and advanced techniques
More informationθ = radians; where s = arc length, r = radius
TRIGONOMETRY: 2.1 Degrees & Radians Definitins: 1 degree - 1 radian θ r s FORMULA: s θ = radians; where s = arc length, r = radius r IMPLICATION OF FORMULA: If s = r then θ = 1 radian EXAMPLE 1: What is
More informationDry Contact Sensor DCS15 User Manual
Dry Cntact Sensr DCS15 User Manual Help Versin updated till firmware 404i / SP456 Cpyright 2012, AKCess Pr C., Ltd.. Intrductin / What is a Dry Cntact Sensr The Dry Cntact sensr r DCS15 is a simple cnnectin
More informationChapter 4 DC to AC Conversion (INVERTER)
Chapter 4 DC t AC Cnversin (INERTER) General cncept Single-phase inverter Harmnics Mdulatin Three-phase inverter Drives (ersin 3-003): 1 DC t AC Cnverter (Inverter) DEFINITION: Cnverts DC t AC pwer by
More informationDry Contact Sensor. Communications cable - RJ-45 jack to sensor using UTP Cat 5 wire. Power source: powered by the unit. No additional power needed.
Intrductin Dry Cntact Sensr The Dry Cntact sensr is a simple cnnectin t burglar alarms, fire alarms r any applicatin that requires mnitring by the unit. Dry cntact sensrs are user definable and can be
More informationFrom definition (3.8a), find the Fourier transfonns of the signals get) shown in Fig. P3.l-4. (a)
Prblems 43 3.-3 f get) C(w), then shw that g*(t) C*(-w). Frm definitin (3.8a), find the Furier transfnns f the signals get) shwn in Fig. P3.l-4. T {- T (... d.,mcgra l,newy Figure P3.-4 Frm definitin
More informationSummary of High Energy Particle Detector Elements
1 Summary f High Energy Particle Detectr Elements Cntents Abstract... 1 Phtmultipliers vs. Phtdides... 2 Phtmultiplier tube... 2 Phtdides... 3 Preamplifier... 4 Amplifier... 5 Multi-Channel Analyser (MCA)...
More informationBV4115. RF Packet Transmitter. Product specification. February ByVac 2007 ByVac Page 1 of 5
Prduct Specificatin Prduct specificatin. February 2007 ByVac 2007 ByVac Page 1 f 5 Prduct Specificatin Cntents 1. Dcument Versins... 2 2. Intrductin... 2 3. Features... 2 4. Battery Life... 2 5. Blck Diagram...
More information6 th Grade Jingle Composition Project
6 th Grade Jingle Cmpsitin Prject Wh: An assigned grup f 3 grup members What: A shrt cmmercial selling a Wyndcrft based prduct r service When: Perfrmances n Octber 31 st and Nvember 1 st Yur gal is t create
More informationCleveland Public Theatre. Catapult. Request for Proposals. Deadline for submissions is Monday, June 12 th, 2017
Cleveland Public Theatre Catapult Request fr Prpsals Cleveland Public Theatre s New Play Develpment CPT s missin is t raise cnsciusness and nurture cmpassin thrugh grundbreaking perfrmances and life-changing
More informationExperiment 4 Op-Amp Circuits
Experiment 4 Op-Amp Circuits Purpse: In this experiment, yu will learn abut peratinal amplifiers (r p-amps). Simple circuits cntaining peratinal amplifiers can be used t perfrm mathematical peratins, such
More informationHospital Task Scheduling using Constraint Programming
Hspital Task Scheduling using Cnstraint Prgramming Authr: Chaman Chahal Supervisr: Dr. P. Bse, Schl f Cmputer Science Organizatin: Carletn University Curse: COMP4905 Date: Dec. 11, 2012 1 Abstract Hspitals
More informationStudy of Dipole Antenna Height for Radio Telescope According to Baghdad Location
Study f Diple Antenna Height fr Radi Telescpe Accrding t Baghdad Lcatin Kamal M. Abd 1, Mretadha J. Kadhim and Zinah F. Kadhim 3 1 Department f Astrnmy and Space, Cllege f Science, University f Baghdad,
More informationApplication for Drive Technology
Applicatin fr Drive Technlgy MICROMASTER 4 Applicatin Descriptin Warranty, Liability and Supprt 1 Warranty, Liability and Supprt We d nt accept any liability fr the infrmatin cntained in this dcument.
More informationExperiment 4 Op-Amp Circuits
Experiment 4 Op-Amp Circuits Purpse: In this experiment, yu will learn abut peratinal amplifiers (r p-amps). Simple circuits cntaining peratinal amplifiers can be used t perfrm mathematical peratins, such
More informationEnabling the Bluetooth Low Energy Direct Test Mode (DTM) with BlueNRG-MS
DT0069 Design tip Enabling the Bluetth Lw Energy Direct Test Mde (DTM) with BlueNRG-MS By Salv Bnina Main cmpnents BlueNRG-MS Upgradable Bluetth Lw Energy netwrk prcessr SPBTLE-RF Very lw pwer mdule fr
More informationWiFi Lab C. Equipment Needs:
WiFi Lab C Event Objective: Teams will cnstruct an antenna prir t the turnament that is designed t transmit a signal at 2.4 GHz and cmplete a written test n the principles f electrmagnetic wave prpagatin.
More informationINTRODUCTION TO PLL DESIGN
INTRODUCTION TO PLL DESIGN FOR FREQUENCY SYNTHESIZER Thanks Sung Tae Mn and Ari Valer fr part f this material A M S C Analg and Mixed-Signal Center Cntents Intrductin t Frequency Synthesizer Specificatin
More informationTERM TOPIC INFORMATION ASSIGNMENT
1 TERM TOPIC INFORMATION ASSIGNMENT ONE PART 1 & 2: ELEMENTS OF ART: LINE, SHAPE, SPACE & FORM [5WKS (1 WK. FOR INTRODUCTION)] Define each element f art: Line-types and characteristics, Shape-type psitive,
More informationPreLab5 Temperature-Controlled Fan (Due Oct 16)
PreLab5 Temperature-Cntrlled Fan (Due Oct 16) GOAL The gal f Lab 5 is t demnstrate a temperature-cntrlled fan. INTRODUCTION The electrnic measurement f temperature has many applicatins. A temperature-cntrlled
More informationo Work Experience, General o Open Entry/Exit Distance (Hybrid Online) for online supported courses
SECTION A - Curse Infrmatin 1. Curse ID: 2. Curse Title: 3. Divisin: 4. Department: 5. Subject: 6. Shrt Curse Title: 7. Effective Term:: ARTD 17A Drawing: Life Arts Divisin Fine Arts Art: Tw-Dimensinal
More informationDry Contact Sensor
www.akcp.cm Dry Cntact Sensr Intrductin The Dry Cntact sensr is a simple cnnectin t burglar alarms, fire alarms r any applicatin that requires mnitring by the unit. Dry cntact sensrs are user definable
More informationAlgebra2/Trig Honors: Trig Unit 2 Packet
Algebra2/Trig Hnrs: Trig Unit 2 Packet In this unit, students will be able t: Learn and apply c-functin relatinships between trig functins Learn and apply the sum and difference identities Learn and apply
More informationBig Kahuna Assembly Instructions
Big Kahuna Assembly Instructins Thank yu fr purchasing a d-it-yurself pergla kit frm Average Je s Pergla Dept. We appreciate yur business, and we are here t help yu in any way pssible. Read this entire
More informationSpring 06 Assignment 3: Solution
15-381 Spring 06 Assignment 3: Slutin Questins t Rng Yan(yanrng@cs.cmu.edu) Out: 2/21/06 Due: 3/7/06 Name: Andrew ID: Please turn in yur answers n this assignment (etra cpies can be btained frm the class
More informationTable of Contents. ilab Solutions: Core Facilities Core Usage Reporting
Revisin Date: 12/31/2012 Table f Cntents 1. Institutin, Cre Facility and Lab Administratin Reprting Overview...2 2. Hw d I access ilab Reprts?...3 3. What is the General Functinality fr ilab Reprting?...6
More informationFoundations of Technology
EXAM INFORMATION Items 70 Pints 70 Prerequisites NONE Grade Level 9-10 Curse Length ONE SEMESTER DESCRIPTION is an actin-based engineering and technlgy educatinal curse emphasizing design and prblem-slving
More informationThe WHO e-atlas of disaster risk for the European Region Instructions for use
The WHO e-atlas f disaster risk fr the Eurpean Regin Instructins fr use 1 Last Update: June 2011 Cntents 1. Basic system requirements... 3 2. Structure f the WHO e-atlas... 4 2.1. Main menu... 4 2.1.1.
More informationPLANNING AND DECISION ANALYSIS School of Architecture and the Built Environment, KTH
Syllabus fr dctral studies in the subject f PLANNING AND DECISION ANALYSIS Schl f Architecture and the Built Envirnment, KTH General regulatins and guidelines fr dctral studies are fund in the cmprehensive
More informationHistory of Western Art--Renaissance Through Modern - Honors. Humanities and Social Sciences Division. o Work Experience, General.
SECTION A - Curse Infrmatin 1. Curse ID: 2. Curse Title: 3. Divisin: 4. Department: 5. Subject: 6. Shrt Curse Title: 7. Effective Term:: AHIS 5H Histry f Western Art--Renaissance Thrugh Mdern - Hnrs Humanities
More information1. Constraint propagation
6.034 Artificial Intelligence, Fall 2006 Prf. Patrick H.Winstn Prblem Set 3 This prblem set is due Wednesday, Octber 18th at 11:59 PM. If yu have questins abut it, ask the TA email list. Yur respnse will
More informationInsertion Loss (db)
Optical Interleavers Optplex s Optical Interleaver prducts are based n ur patented Step-Phase Interfermeter design. Used as a DeMux (r Mux) device, an ptical interleaver separates (r cmbines) the Even
More informationOutput Stages. Microelectronic Circuits. Ching-Yuan Yang. National Chung-Hsing University Department of Electrical Engineering.
Micrelectrnic Circuits Output Stages Ching-Yuan Yang Natinal Chung-Hsing University Department f Electrical Engineering Outline Classificatin f Output Stages Class A Output Stage Class B Output Stage Class
More informationIntroduction to Life Cycle Risk Management Help Page
Select a frequently asked questin (FAQ) t skip t its answer. Hw is the curse rganized? Wh shuld take this curse? Hw d I get credit fr this curse? What d all the navigatin buttns d? Hw d I knw what t click?
More informationEngineering Design and Development
Engineering Design and Develpment Grade 12 Prerequisites: Intrductin t Engineering Design Principles f Engineering Digital Electrnics Credit Value: 5 ABSTRACT The Engineering Design and Develpment curse
More informationSecurity Exercise 12
Security Exercise 12 Asynchrnus Serial Digital Baseband Transmissin Discussin: In this chapter, yu learned that bits are transmitted ver a cpper wire as a series f vltage pulses (a prcess referred t as
More informationART 301 Methods of Art Education Lesson Plan Format Lesson Components and Planning Strategies
ART 301 Methds f Art Educatin Lessn Plan Frmat Lessn Cmpnents and Planning Strategies Title f Lessn: Bug s Eye View Grade Level: 3-4 I. Cntext: It is the furth quarter f the schl year, and all f the flwers
More informationMath 3201 Unit 8: SINUSODIAL FUNCTIONS NAME: Up until now we can measure angles using degrees.
Math 0 Unit 8: SINUSODIAL FUNCTIONS NAME: Sectin 8.: Understanding Angles p. 8 Hw can we measure things? Eamples: Length - meters (m) r ards (d.) Temperature - degrees Celsius ( C) r Fahrenheit (F) Hw
More informationVisual & Performing Arts Curriculum Organizational Framework Subject: Art Grade Level Cluster: 6-8
Visual & Perfrming Arts Curriculum Organizatinal Framewrk Subject: Art Grade Level Cluster: 6-8 BOLDED CPIs COORESPOND WITH ESSENTIAL QUESTIONS IN MODULES Mdule 1: Culture Mdule 2: Art Histry Mdule 3:
More informationUCLA Extension Writers Program Public Syllabus
Writing the First Screenplay III Syllabus -- Fall 2010.002 1 UCLA Extensin Writers Prgram Public Syllabus Nte t students: this public syllabus is designed t give yu a glimpse int this curse and instructr.
More informationHOMEWORK! First Grade
HOMEWORK! First Grade Sight Wrds This week we are taking a shrt diversin frm ur regular Language Arts prgram. We will be reading the stry, Pumpkin, Pumpkin. Sight Wrds: Please print and cut ut these wrds
More informationRoof Safe Netting CONTENTS
Rf Safe Netting CONTENTS SUMMARY OF FEATURES... 2 TECHNICAL INFORMATION... 2 Prduct Descriptin... 2 Applicatins... 2 Prduct Infrmatin... 2 Handling & Strage... 3 Technical Data... 4 Size Range Available...
More informationELECTRICAL MEASUREMENTS
Physics Department Electricity and Magnetism Labratry ELECTRICAL MEASUREMENTS 1. Aim. Learn t use measuring instruments: Digital multimeter. Analg scillscpe. Assembly f simple elementary circuit. Cllectin
More informationT. Sabău Ivan / International Journal of Advanced Statistics and IT&C for Economics and Life Sciences Vol. 6, Issue 1 (2016)
INFORMATION LITERACY IN THE DOCUMENTATION AND INFORMATION CENTRE (DIC) SPECIFIC ACTIVITIES DESIGNED INTO THE DIC FOR INFO- DOCUMENTARY SKILLS TRAINING OF STUDENTS: CASE STUDY AT DIC - C.T. CIBINIUM SIBIU
More informationGrade 7. National Core Visual Arts Standards. Lesson Assignment (Criteria for Success) Artist/Big Idea
Grade 7 Natinal Cre Visual Arts Standards Lessn Assignment (Criteria fr Success) Artist/Big Idea Dcument Evidence f Mastery (Skills/Techniques) Line/Angle Drawings Creating: VA:Cr1.2.7 - Develp criteria
More informationa) Which points will be assigned to each center in the first iteration? b) What will be the values of the k new centers (means)?
CS 378 Cmputer Visin Prblem set 2 Out: Tuesday Sept 22 Due: Mnday Oct 5, by 11:59 PM See the end f this dcument fr submissin instructins. I. Shrt answer prblems [30 pints] 1. Suppse we are using k-means
More informationLab 1 Fun with Diodes
GOAL Lab 1 Fun with Dides The verall gal f this lab is t gain sme experience building and simulating sme useful dide circuits. OBJECTIVES T build, test, simulate, and understand the fllwing circuits: 1)
More information1. Give an example of how one can exploit the associative property of convolution to more efficiently filter an image.
CS 376 Cmputer Visin Spring 2011 Prblem set 1 Out: Tuesday Feb 1 Due: Mnday Feb 14 11:59 PM See the end f this dcument fr submissin instructins. Visit us during ffice hurs t discuss any questins n the
More informationCADD Workshop. Course Design
CADD Wrkshp Curse Design 2005-2006 Curse Infrmatin Organizatin Eastern Arizna Cllege Divisin Industrial Technlgy Educatin Curse Number DRF 207 Title CADD Wrkshp Credits 1 Develped by Dee Lauritzen Lecture/Lab
More informationKnowledge of Basic Drafting and keyboarding.
OAKTON COMMUNITY COLLEGE COURSE SYLLABUS http://www.aktn.edu/~jcirne/ Instructr: Jseph Cirne Semester: Spring 2013 Office Phne: (847) 376-7612 On-Line. Divisin Phne: (847) 635-1688 e-mail: jcirne@aktn.edu
More informationNATF CIP Requirement R1 Guideline
Open Distributin NATF CIP 014-2 Requirement R1 Guideline Disclaimer This dcument was created by the Nrth American Transmissin Frum (NATF) t facilitate industry wrk t imprve physical security. NATF reserves
More informationPre-Calculus Notes: Chapter 6 Graphs of Trigonometric Functions
Name: Pre-Calculus Ntes: Chapter Graphs f Trignmetric Functins Sectin 1 Angles and Radian Measure Angles can be measured in bth degrees and radians. Radian measure is based n the circumference f a unit
More informationArt I Woodside High School Ms. Julie Marten Course Syllabus
Art I Wdside High Schl Ms. Julie Marten Curse Syllabus Rm: C-15 Email: jmarten@seq.rg Website: www.wdsidehs.rg/marten Phne: Classrm (650) 367-9750 x 40315 Curse Overview Fine Art I is a studi class that
More information3: Community Gathering Space
3: Cmmunity Gathering Space What: 2 part spatial sequence with gathering area fr varius sized grups Entry Zne Prvide an intrductin t the area by establishing a md and character and as well as separating
More informationEngineering CAD 3-D Solids and Surfaces. Architecture and Engineering Design Department. Engineering and Design Technology. o Work Experience, General
SECTION A - Curse Infrmatin 1. Curse ID: 2. Curse Title: 3. Divisin: 4. Department: 5. Subject: 6. Shrt Curse Title: 7. Effective Term:: EDT 24 Engineering CAD 3-D Slids and Surfaces Technlgy and Health
More informationXRAISE OUTREACH LABORATORY INVESTIGATION
XRAISE OUTREACH LABORATORY INVESTIGATION Title: Original: Revisin: Frmatted: Authrs: Apprpriate Level: Abstract: NY Standards Met: 4 April 2009 15 April 2009 May 2015 by CLASSE Xraise Bicircuits: Signal
More informationFourier Series LABVIEW GUI Documentation
Furier Series LABVIEW GUI Dcumentatin INTRODUCTION The Furier Series GUI is meant t be used as a learning tl t better understand the Furier Series. The user is able t input the amplitude and frequency
More informationRemote Control Learn Button Receiver Input Connections
Remte Cntrl Learn Buttn Receiver Input Cnnectins Remte Cntrl LED Light Wi-fi/Factry Reset Buttn Receiver Output Cnnectin Heartbeat LED Light PRV Cnnectins Pwer Reset Buttn Pl / Treadmill Switch Flat Switch
More information1 Logistics. Chengkai Li. Department of Computer Science and Engineering University of Texas at Arlington Fall 2017
CSE4334/5334 1 Lgistics Data Mining Chengkai Li Department f Cmputer Science and Engineering University f Texas at Arlingtn Fall 2017 Self Intrductin 2 Chengkai Li Assciate Prfessr, CSE Office: ERB 628
More informationElectrical devices may only be mounted and connected by electrically skilled persons.
2-gang Art. N. : HS2 RF 4-gang Art. N. : HS4 RF Operating instructins 1 Safety instructins Electrical devices may nly be munted and cnnected by electrically skilled persns. Serius injuries, fire r prperty
More informationTUTORIAL I ECE 555 CADENCE SCHEMATIC SIMULATION USING SPECTRE
TUTORIAL I ECE 555 CADENCE SCHEMATIC SIMULATION USING SPECTRE Cadence Virtus Schematic editing prvides a design envirnment cmprising tls t create schematics, symbls and run simulatins. This tutrial will
More informationLab2 Digital Weighing Scale (Sep 18)
GOAL Lab2 Digital Weighing Scale (Sep 18) The gal f Lab 2 is t demnstrate a digital weighing scale. INTRODUCTION The electrnic measurement f mass has many applicatins. A digital weighing scale typically
More informationReview of Electronic I. Lesson #2 Solid State Circuitry Diodes & Transistors Chapter 3. BME Electronics II J.Schesser
Review f Electrnic I Lessn #2 Slid State Circuitry Dides & Transistrs Chapter 3 ME 498008 Electrnics II 55 Dides Typical Dide VI Characteristics Frward ias Regin Reverse ias Regin Reverse reakdwn Regin
More informationConnection tariffs
Cnnectin tariffs 2016-2019 A. TARIFF CONDITIONS FOR GRID USERS DIRECTLY CONNECTED TO THE ELIA GRID AND FOR DISTRIBUTION GRID OPERATORS, EXCEPTED FOR DISTRIBUTION GRID OPERATORS CONNECTED AT TRANSFORMER
More informationAccuBuild Version 9.3 Release 05/11/2015. Document Management Speed Performance Improvements
AccuBuild Versin 9.3 Release 05/11/2015 Dcument Management Speed Perfrmance Imprvements The entire dcument management system and security system design was retled which shuld result in majr speed imprvements
More informationHistory of Western Art: Renaissance Through Modern - Honors. Humanities and Social Sciences Division. o Work Experience, General.
SECTION A - Curse Infrmatin 1. Curse ID: 2. Curse Title: 3. Divisin: 4. Department: 5. Subject: 6. Shrt Curse Title: 7. Effective Term:: AHIS 5H Histry f Western Art: Renaissance Thrugh Mdern - Hnrs Humanities
More informationDevelop preliminary specification and plans from a design brief
Unit Title: OCR unit number 1 Level: 2 Credit value: 3 Guided learning hurs: 24 Unit reference number A/503/5851 Develp preliminary specificatin and plans frm a design brief Unit purpse and aim The fcus
More informationParkstone Grammar School COLLECTIVE WORSHIP AND ASSEMBLIES POLICY. Date approved: 04/07/2017. Matters Committee Date of next review:
Parkstne Grammar Schl COLLECTIVE WORSHIP AND ASSEMBLIES POLICY Date apprved: 04/07/2017 Apprved by: Curriculum and Student Matters Cmmittee Date f next review: 2019-20 Type f plicy Nn-Statutry Plicy Dcument
More information2018 Print and DPI Annual Competition Rules
Brisbane Camera Grup 'Annual Cmpetitin' takes place in Nvember each year. It's the highlight f the club cmpetitin year and submissin standards are cnsistently high. All graded members are eligible and
More informationFreading for Kindle Fire Using the SlideME app.
Harvard Public Library www.harvardpubliclibrary.rg Freading fr Kindle Fire Using the SlideME app. Freading is an e-bk cllectin, available t Harvard Public Library cardhlders, that ffers tens f thusands
More informationPower Splitters & Dividers
Pwer Splitters & Dividers Bradband Frequency Range - dc t 40 GHz Widest Selectin f cnnectr types & Frequency xpress shipment available n select mdels. 4-Way Designs Available High Quality Cnstructin &
More informationHuman Psychoacoustics
1 ESE250: Digital Audi Basics Week 6 February 19, 2013 Human Psychacustics Curse Map 2 Week 2 Received signal is sampled & quantized q = PCM[ r ] Week 4 Sampled signal first transfrmed int frequency dmain
More informationWaves Unit / Mechanical Waves Sub-Unit
Waves Unit / Mechanical Waves Sub-Unit 5.1.1 Oscillatins - time fr ne scillatin - number f scillatins per secnd Equatin Pendulum Mass n a Spring PRACTICE Regents Physics 1. A pendulum is timed as it mves
More informationExam solutions FYS3240/
Exam slutins FYS3240/4240 2014 Prblem 1 a) Explain hw the accuracy (cnstant frequency utput) f quartz crystal scillatrs is imprved. The accuracy is imprved using temperature cmpensatin (temperature cmpensated
More informationMath in Art Syllabus
Math in Art Syllabus Mrs. Huff Rm 208 ehuff@vistacharterschl.rg Vista Charter Middle Schl Cre Values: These values are central t ur missin and the cntinual develpment f ur schl culture: Unwavering belief
More informationExperiment 7 Digital Logic Devices and the 555-Timer
Experiment 7 Digital Lgic Devices and the 555-Timer Purpse: In this experiment we address the cncepts f digital electrnics and lk at the 555-timer, a device that uses digital devices and ther electrnic
More informationCPC1230NTR. 4 Pin SOP OptoMOS Relay
4 Pin SOP OptMOS Relay Units Lad Vltage 3 V Lad Current 1 ma Max R ON Ω Features Small 4 Pin SOP Package Lw Drive Pwer Requirements (TTL/CMOS Cmpatible) N Mving Parts High Reliability Arc-Free With N Snubbing
More informationINLINE TE 01δ MODE DIELECTRIC-RESONATOR FIL- TERS WITH CONTROLLABLE TRANSMISSION ZERO FOR WIRELESS BASE STATIONS
Prgress In Electrmagnetics Research Letters, Vl. 38, 11 11, 213 INLINE TE 1δ MODE DIELECTRIC-RESONATOR FIL- TERS WITH CONTROLLABLE TRANSMISSION ZERO FOR WIRELESS BASE STATIONS Xia Ouyang * and B-Yng Wang
More informationCM5530 GENERAL DESCRIPTION APPLICATIONS TYPICAL APPLICATION CIRCU. Rev.1.0 0
FEATURES Quasi-Resnant Primary Side Regulatin (QR-PSR) Cntrl with High Efficiency Multi-Mde PSR Cntrl Fast Dynamic Respnse Built-in Dynamic Base Drive Audi Nise Free Operatin ±4% CC and C Regulatin Lw
More information( 6π ) Applications of Trig Functions
8.8 - Applicatins f Trig Functins 1. The geese ppulatin in a certain area fluctuates peridically between a maximum f 600 geese and a minimum f 350 geese. This ppulatin cycle repeats every 5 years. Write
More informationWS-400 BASE STATION FOR WIRELESS INTERCOM WITH FOUR TX/RX MODULES USER MANUAL
WS-400 BASE STATION FOR WIRELESS INTERCOM WITH FOUR TX/RX MODULES USER MANUAL Issue February 2011 ASL Intercm BV DESIGNED AND MANUFACTURED BY: ASL INTERCOM BV ZONNEBAAN 42 3542 EG UTRECHT THE NETHERLANDS
More informationThe Modification of Simple Images by Fourier Transform Manipulation
Rchester Institute f Technlgy RIT Schlar Wrks Theses Thesis/Dissertatin Cllectins 6-1-1979 The Mdificatin f Simple Images by Furier Transfrm Manipulatin Nel Chavez Fllw this and additinal wrks at: http://schlarwrks.rit.edu/theses
More informationExperiment 6 Electronic Switching
Experiment 6 Electrnic Switching Purpse: In this experiment we will discuss ways in which analg devices can be used t create binary signals. Binary signals can take n nly tw states: high and lw. The activities
More informationExperiment 7 Digital Logic Devices and the 555-Timer
Experiment 7 Digital Lgic Devices and the 555-Timer Purpse: In this experiment we address the cncepts f digital electrnics and lk at the 555-timer, a device that uses digital devices and ther electrnic
More information