# SAMPLE: EXPERIMENT 10 Bandpass Filter / Fourier Analysis

Save this PDF as:

Size: px
Start display at page:

## Transcription

2 Experiment 10: Band Pass Filter / Fourier Analysis Introduction According to Fourier analysis, a square wave may be considered to be a superposition of an infinite number of odd harmonic frequencies whose amplitudes decrease inversely with frequency. The fundamental, or lowest frequency, is the frequency of the square wave. The Fourier series of a square wave voltage, whose peak to peak amplitude is V, and average value is V AVE, may be expressed as: 2V 1 v ( t) = VAVE + sin( 2π n f 0t), π n n where n = odd, and the fundamental frequency is f 0. If a square wave is applied to a band-pass filter, the wave s frequency components will be affected by the filter s frequency response. The filter s output frequency spectrum will be different than the input spectrum. In Fourier analysis, the concepts of time-domain and frequency-domain are important to understand. The square wave input to the filter and output from the filter is considered to be expressed in the time-domain when its amplitude is expressed as a function of time. An oscilloscope normally plots waveforms in the time-domain. When the amplitude of the waveform is expressed as a function of frequency, it is expressed in the frequency-domain. Using Fourier analysis, it is possible to convert time-domain expressions into the frequencydomain, and frequency-domain expressions into the time domain. This may be done by a computer algorithm called the Fast Fourier Transform, or FFT for short, which is built into many analysis software, including OrCad (PSpice), and Maple. The objective of this experiment is to investigate the relationship between time-domain analysis and frequency domain analysis. Acquired time-domain data will be compared to simulation data using OrCad and also compared to analysis using Maple. If GPIB or DAQ instrumentation is available, additional analysis may be performed using software such as National Instruments LabVIEW or Tektronix Open Choice. The filter circuit used in this exercise is the same as used in experiment 9. The time domain results of experiment 9 can be compared to the frequency domain results of this experiment. Procedure The circuit on the right is the same as used in experiment 9. Input and output connections are shown for digital data acquisition. This experiment requires computer data acquisition equipment. The procedure below uses the Tektronix TDS1002 oscilloscope and Tektronix Open Choice Desktop software. 1. Connect the circuit on the right. 2. Vi is the function generator set to produce a 20 hertz, 2 volt peak to peak, square wave with a 1 volt offset (goes between 0 and 2 volts). 34

3 3. Connect the oscilloscope channel 1 to node N1 and Channel 2 to node N3. Set the oscilloscope to display 10 cycles of the input and output waveforms as shown below. The time domain step response of the filter was analyzed in experiment 9. The response will be analyzed in the frequency domain in this lab exercise. It may be helpful to read the section on displaying the Fourier spectrum of your instruments user manual. The TDS1002 uses a Math FFT algorithm to generate the Fourier spectrum from the acquired time domain data. The time domain waveform needs to be set up carefully to get an accurate display of the spectrum. Please note the following: a. The FFT spectrum is calculated from the center 2048 points of the time domain waveform. Since there are 2500 points in the 10 divisions of the entire display, the FFT is calculated from about the center 8 divisions. b. There is a tradeoff between frequency resolution and the bandwidth of the displayed spectrum (due to aliasing). c. The highest frequency (and bandwidth) that can be measured accurately by a digitizing oscilloscope is one half the sample rate (the Nyquist frequency). d. The TDS1002 transforms 2048 time domain points to 1024 frequency domain points resulting in a spectrum whose bandwidth is equal to the Nyquist frequency. e. The amplitude is displayed in db where 0 db is equal to 1 volt rms. VRMS dbvrms = 20log. 1Vrms f. Use the cursors to determine the amplitudes of the harmonics. g. Use data capture such as the TekXL toolbar for greater accuracy 35

4 4. To obtain the FFT spectrum of channel 1: Push the MATH MENU button, select FFT, set the MATH FFT source to channel 1. Note the resulting display on the right. The frequency scale is 250 Hz/Div. The amplitude scale is in db, where 0 db = 1 volt rms. 6. The frequency scale needs to be expanded by a factor of 10 in order to accurately measure the frequency components. This could be done with the time base (sec/div) control. However, this would reduce the bandwidth from 2500 Hz to 250 Hz. The TDS1002 has an FFT zoom control that provides a zoom up to 10. A zoom factor of 10 was used to obtain the input (CH1) and output (CH2) frequency spectrums shown below. Cursors should be used to measure the amplitudes. The input frequency spectrum (CH1) above shows an rms amplitude value of 3 db at 0 Hz. This corresponds to volts rms, which is equal to a 1 volt average value (DC offset). The fifth harmonic at 100 Hz shows an amplitude of 14.6 db. This corresponds to a peak voltage of volts. The output frequency spectrum shows the fifth harmonic amplitude to be 19.4 db. 7. Display the first six harmonics of the input and output spectra of your band pass filter. Record the amplitude of the DC component and the first three harmonics of the input and output spectra (dc, 20 Hz, 60 Hz, 100 Hz). Optional: Use the TekXL toolbar to obtain the data on your filter circuit. Vi DC : db Vi 20 : db Vi 60 : db Vi 100 : db Vo DC : db Vo 20 : db Vo 60 : db Vo 100 : db 36

5 Analysis Note: Use a spreadsheet as applicable to do the analysis below. 1. The Fourier series of the input waveform is that of a 2 volt peak to peak amplitude square wave with a 1.0 volt dc component (average value). Determine the theoretical magnitude of the waveform s DC component, fundamental, third harmonic and fifth harmonic. Compare your measured values to the theoretical values by calculating the percent difference between them. You need to convert the db values of your measurements to peak voltages to do this comparison. 2. Calculate the transfer function of the filter. Use phasor analysis to calculate the steady state output of the filter for the dc component, fundamental, third harmonic, and fifth harmonic (dc, 20 Hz, 60 Hz, 100 Hz). Compare your measured values to the theoretical values by calculating the percent difference between them. You need to convert the db values of your measurements to peak voltages to do this comparison. 3. Simulate the circuit with OrCad-Pspice and use the FFT (Fast Fourier Transform) feature of Probe to to obtain the frequency spectrum of the output. Compare the simulated results to your calculated results from step 2 above. 4. Simulate the circuit with OrCad-Pspice and use the frequency sweep analysis to obtain a Bode Plot of the filter s response (similar to plot shown below). Compare the results to analysis steps 2 and 3 above.. 1.0V 0.5V 0V 1.0Hz 10Hz 100Hz 1.0KHz V(N3) Frequency 37

### Fast Fourier Transforms and Power Spectra in LabVIEW

Application Note 4 Introduction Fast Fourier Transforms and Power Spectra in LabVIEW K. Fahy, E. Pérez Ph.D. The Fourier transform is one of the most powerful signal analysis tools, applicable to a wide

### Lab 1: The Digital Oscilloscope

PHYSICS 220 Physical Electronics Lab 1: The Digital Oscilloscope Object: To become familiar with the oscilloscope, a ubiquitous instrument for observing and measuring electronic signals. Apparatus: Tektronix

### Lab 1. The Fourier Transform

Lab 1. The Fourier Transform Introduction In the Communication Labs you will be given the opportunity to apply the theory learned in Communication Systems. Since this is your first time to work in the

### RightMark Audio Analyzer

RightMark Audio Analyzer Version 2.5 2001 http://audio.rightmark.org Tests description 1 Contents FREQUENCY RESPONSE TEST... 2 NOISE LEVEL TEST... 3 DYNAMIC RANGE TEST... 5 TOTAL HARMONIC DISTORTION TEST...

### Lab #9: AC Steady State Analysis

Theory & Introduction Lab #9: AC Steady State Analysis Goals for Lab #9 The main goal for lab 9 is to make the students familar with AC steady state analysis, db scale and the NI ELVIS frequency analyzer.

### In modern electronics, it is important to be able to separate a signal into different

Introduction In modern electronics, it is important to be able to separate a signal into different frequency regions. In analog electronics, four classes of filters exist to process an input signal: low-pass,

### ADC Familiarization. Dmitry Teytelman and Dan Van Winkle. Student name:

Dmitry Teytelman and Dan Van Winkle Student name: RF and Digital Signal Processing US Particle Accelerator School 15 19 June, 2009 June 16, 2009 Contents 1 Introduction 2 2 Exercises 2 2.1 Measuring 48

### ENGR 210 Lab 11 Frequency Response of Passive RC Filters

ENGR 210 Lab 11 Response of Passive RC Filters The objective of this lab is to introduce you to the frequency-dependent nature of the impedance of a capacitor and the impact of that frequency dependence

### Filters and Waveform Shaping

Physics 333 Experiment #3 Fall 211 Filters and Waveform Shaping Purpose The aim of this experiment is to study the frequency filtering properties of passive (R, C, and L) circuits for sine waves, and the

### Lab 4 Band Pass and Band Reject Filters

Lab 4 Band Pass and Band Reject Filters Introduction During this lab you will design and build three filters. First you will build a broad-band band-pass filter by cascading the high-pass and low-pass

### Digital to Analog Conversion Using Pulse Width Modulation

Digital to Analog Conversion Using Pulse Width Modulation Samer El-Haj-Mahmoud Electronics Engineering Technology Program Texas A&M University Instructor s Portion Summary The purpose of this lab is to

### Lab 4 Op Amp Filters

Lab 4 Op Amp Filters Figure 4.0. Frequency Characteristics of a BandPass Filter Adding a few capacitors and resistors to the basic operational amplifier (op amp) circuit can yield many interesting analog

### EXPERIMENT 6 CLIPPING AND CLAMPING DIODE CIRCUITS

EXPERIMENT 6 CLIPPING AND CLAMPING DIODE CIRCUITS OBJECTIVES To understand the theory of operation of the clipping and clamping diode circuits. To design wave shapes that meet different circuits needs.

### CIRCUITS LABORATORY EXPERIMENT 3. AC Circuit Analysis

CIRCUITS LABORATORY EXPERIMENT 3 AC Circuit Analysis 3.1 Introduction The steady-state behavior of circuits energized by sinusoidal sources is an important area of study for several reasons. First, the

### R f. V i. ET 438a Automatic Control Systems Technology Laboratory 4 Practical Differentiator Response

ET 438a Automatic Control Systems Technology Laboratory 4 Practical Differentiator Response Objective: Design a practical differentiator circuit using common OP AMP circuits. Test the frequency response

### ECE207 Electrical Engineering Fall Lab 1 Nodal Analysis, Capacitor and Inductor Models

Lab 1 Nodal Analysis, Capacitor and Inductor Models Objectives: At the conclusion of this lab, students should be able to: use the NI mydaq to power a circuit using the power supply and function generator

### ANALYZER BASICS WHAT IS AN FFT SPECTRUM ANALYZER? 2-1

WHAT IS AN FFT SPECTRUM ANALYZER? ANALYZER BASICS The SR760 FFT Spectrum Analyzer takes a time varying input signal, like you would see on an oscilloscope trace, and computes its frequency spectrum. Fourier's

### MATRIX TECHNICAL NOTES

200 WOOD AVENUE, MIDDLESEX, NJ 08846 PHONE (732) 469-9510 FAX (732) 469-0418 MATRIX TECHNICAL NOTES MTN-107 TEST SETUP FOR THE MEASUREMENT OF X-MOD, CTB, AND CSO USING A MEAN SQUARE CIRCUIT AS A DETECTOR

### Oscilloscope and Spectrum Analyser Software

Page 1 sur 5 Oscilloscope and Spectrum Analyser Software The ADC-200/20, ADC-200/50 & ADC-200/100 software The ADC-200's are supplied with a comprehensive suite of software, all included in the price.

### Part 2: Receiver and Demodulator

University of Pennsylvania Department of Electrical and Systems Engineering ESE06: Electrical Circuits and Systems II Lab Amplitude Modulated Radio Frequency Transmission System Mini-Project Part : Receiver

### Electrical Resonance

Electrical Resonance (R-L-C series circuit) APPARATUS 1. R-L-C Circuit board 2. Signal generator 3. Oscilloscope Tektronix TDS1002 with two sets of leads (see Introduction to the Oscilloscope ) INTRODUCTION

### Physics 2306 Experiment 7: Time-dependent Circuits, Part 1

Name ID number Date Lab CRN Lab partner Lab instructor Objectives Physics 2306 Experiment 7: Time-dependent Circuits, Part 1 To study the time dependent behavior of the voltage and current in circuits

### The Oscilloscope, the Signal Generator and Your Filter s Test Setup SGM 5/29/2013

The Oscilloscope, the Signal Generator and Your Filter s Test Setup SGM 5/29/2013 1. Oscilloscope A multimeter is an appropriate device to measure DC voltages, however, when a signal alternates at relatively

### Frequency Response of Filters

School of Engineering Department of Electrical and Computer Engineering 332:224 Principles of Electrical Engineering II Laboratory Experiment 2 Frequency Response of Filters 1 Introduction Objectives To

### RF Measurements Using a Modular Digitizer

RF Measurements Using a Modular Digitizer Modern modular digitizers, like the Spectrum M4i series PCIe digitizers, offer greater bandwidth and higher resolution at any given bandwidth than ever before.

### Oscilloscope Measurement Lab

Oscilloscope Measurement Lab Measuring Impedance and Capacitance with an Oscilloscope and Function Generator A circuit made up of a resistor and capacitor causes a phase shift between the current and voltage.

### EE 242 EXPERIMENT 5: COMPUTER SIMULATION OF THREE-PHASE CIRCUITS USING PSPICE SCHEMATICS 1

EE 242 EXPERIMENT 5: COMPUTER SIMULATION OF THREE-PHASE CIRCUITS USING PSPICE SCHEMATICS 1 Objective: To build, simulate, and analyze three-phase circuits using OrCAD Capture Pspice Schematics under balanced

### EXPERIMENT NUMBER 5 BASIC OSCILLOSCOPE OPERATIONS

1 EXPERIMENT NUMBER 5 BASIC OSCILLOSCOPE OPERATIONS The oscilloscope is the most versatile and most important tool in this lab and is probably the best tool an electrical engineer uses. This outline guides

### RC & RL Transient Response

EE 2006 University of Minnesota Duluth ab 8 1. Introduction R & R Transient Response The student will analyze series R and R circuits. A step input will excite these respective circuits, producing a transient

### 9: FILTERS, ANALYSIS OF PERIODIC SOUNDS

9: FILTERS, ANALYSIS OF PERIODIC SOUNDS A. Introduction Some weeks you synthesized (put together) complex periodic signals with harmonic components. It is also possible to analyze (take apart) a complex

### Charge and Discharge of a Capacitor

Charge and Discharge of a Capacitor INTRODUCTION Capacitors 1 are devices that can store electric charge and energy. Capacitors have several uses, such as filters in DC power supplies and as energy storage

### Oscilloscope, Function Generator, and Voltage Division

1. Introduction Oscilloscope, Function Generator, and Voltage Division In this lab the student will learn to use the oscilloscope and function generator. The student will also verify the concept of voltage

### EE362L, Power Electronics Triac Light Dimmer

1 EE362L, Power Electronics Triac Light Dimmer Rochelle Stortz and Brian Taraba, Team 277 2/2/05 Abstract - This document presents the construction of a light dimmer circuit that utilizes the current-regulating

### Advantages of High Resolution in High Bandwidth Digitizers

Advantages of High Resolution in High Bandwidth Digitizers Two of the key specifications of digitizers are bandwidth and amplitude resolution. These specifications are not independent - with increasing

### APPLICATION NOTE 29 Testing Capacitors with High DC Bias

APPLICATION NOTE 29 Testing Capacitors with High DC Bias This application note will describe the process of analysing the impedance of a capacitor when subjected to high DC bias voltages. This particular

### Lab 3: Introduction to Data Acquisition Cards

Lab 3: Introduction to Data Acquisition Cards INTRODUCTION: In this lab, you will be building a VI to display the input measured on a channel. However, within your own VI you will use LabVIEW supplied

### Experiment V: The AC Circuit, Impedance, and Applications to High and Low Pass Filters

Experiment : The AC Circuit, Impedance, and Applications to High and Low Pass Filters I. eferences Halliday, esnick and Krane, Physics, ol. 2, 4th Ed., Chapters 33 Purcell, Electricity and Magnetism, Chapter

### The Effective Number of Bits (ENOB) of my R&S Digital Oscilloscope Technical Paper

The Effective Number of Bits (ENOB) of my R&S Digital Oscilloscope Technical Paper Products: R&S RTO1012 R&S RTO1014 R&S RTO1022 R&S RTO1024 This technical paper provides an introduction to the signal

### PSPICE tutorial: a simple DC circuit Getting started

PSPICE tutorial: a simple DC circuit We will learn some of the basic maneuvers of using the Cadence schematic capture program and PSPice engine through a simple example -- a diode rectifier circuit. The

### 30. Bode Plots. Introduction

0. Bode Plots Introduction Each of the circuits in this problem set is represented by a magnitude Bode plot. The network function provides a connection between the Bode plot and the circuit. To solve these

### Department of Electrical and Computer Engineering Ben-Gurion University of the Negev. LAB 1 - Introduction to USRP

Department of Electrical and Computer Engineering Ben-Gurion University of the Negev LAB 1 - Introduction to USRP - 1-1 Introduction In this lab you will use software reconfigurable RF hardware from National

### PC-Lab2000 TM. Software for Velleman PC peripherals : PCS500 / PCS100 / K8031 / PCG10 / K8016 SOFTWARE GETTING STARTED GUIDE

Software for Velleman PC peripherals : PCS500 / PCS100 / K8031 / PCG10 / K8016 SOFTWARE GETTING STARTED GUIDE CHECK ALSO THE UNIT REFERENCE MANUAL This software runs only under Windows 95/98/ME/2000 or

### Signaling is the way data is communicated. This type of signal used can be either analog or digital

3.1 Analog vs. Digital Signaling is the way data is communicated. This type of signal used can be either analog or digital 1 3.1 Analog vs. Digital 2 WCB/McGraw-Hill The McGraw-Hill Companies, Inc., 1998

### DaqView Overview Out-of-the-Box Spreadsheet-Style Setup, Data Acquisition, & Display Software

Overview Out-of-the-Box Spreadsheet-Style Setup, Data Acquisition, & Display Software Features Included with all Daq Series and Personal Daq/000 Series products from IOtech Spreadsheet-style channel configuration

### The Calculation of G rms

The Calculation of G rms QualMark Corp. Neill Doertenbach The metric of G rms is typically used to specify and compare the energy in repetitive shock vibration systems. However, the method of arriving

### Analog and Digital Signals, Time and Frequency Representation of Signals

1 Analog and Digital Signals, Time and Frequency Representation of Signals Required reading: Garcia 3.1, 3.2 CSE 3213, Fall 2010 Instructor: N. Vlajic 2 Data vs. Signal Analog vs. Digital Analog Signals

### Fermi National Accelerator Laboratory. The Measurements and Analysis of Electromagnetic Interference Arising from the Booster GMPS

Fermi National Accelerator Laboratory Beams-Doc-2584 Version 1.0 The Measurements and Analysis of Electromagnetic Interference Arising from the Booster GMPS Phil S. Yoon 1,2, Weiren Chou 1, Howard Pfeffer

### DIODE CIRCUITS LABORATORY. Fig. 8.1a Fig 8.1b

DIODE CIRCUITS LABORATORY A solid state diode consists of a junction of either dissimilar semiconductors (pn junction diode) or a metal and a semiconductor (Schottky barrier diode). Regardless of the type,

### Using GNU Radio Companion: Tutorial 4. Using Complex Signals and Receiving SSB

Using GNU Radio Companion: Tutorial 4. Using Complex Signals and Receiving SSB This tutorial is a guide to receiving SSB signals. It will also illustrate some of the properties of complex (analytic) signals

### Cell Phone Vibration Experiment

Objective Cell Phone Vibration Experiment Most cell phones are designed to vibrate. But at what frequency do they vibrate? With an accelerometer, data acquisition and signal analysis the vibration frequency

### LABORATORY 2 THE DIFFERENTIAL AMPLIFIER

LABORATORY 2 THE DIFFERENTIAL AMPLIFIER OBJECTIVES 1. To understand how to amplify weak (small) signals in the presence of noise. 1. To understand how a differential amplifier rejects noise and common

### Chapter 5. Basic Filters

Chapter 5 Basic Filters 39 CHAPTER 5. BASIC FILTERS 5.1 Pre-Lab The answers to the following questions are due at the beginning of the lab. If they are not done at the beginning of the lab, no points will

### Beginners Guide to the TDS 210 and TDS 220 Oscilloscopes

Beginners Guide to the TDS 210 and TDS 220 Oscilloscopes By David S. Lay P. Eng Foreword This guide contains information to help you become familiar with using digital oscilloscopes. You should work through

### TDS5000B, TDS6000B, TDS/CSA7000B Series Acquisition Modes

TDS5000B, TDS6000B, TDS/CSA7000B Series Acquisition Modes Tektronix oscilloscopes provide several different acquisition modes. While this gives the user great flexibility and choice, each mode is optimized

### LAB 4 DIGITAL FILTERING

LAB 4 DIGITAL FILTERING 1. LAB OBJECTIVE The purpose of this lab is to design and implement digital filters. You will design and implement a first order IIR (Infinite Impulse Response) filter and a second

### Experiment 3: Double Sideband Modulation (DSB)

Experiment 3: Double Sideband Modulation (DSB) This experiment examines the characteristics of the double-sideband (DSB) linear modulation process. The demodulation is performed coherently and its strict

### Notes for ORCAD PSpice ECE 65 Created by: Kristi Tsukida (Spring 2006) Edited by: Eldridge Alcantara (Winter 2009) Updated (Fall 2009)

Notes for ORCAD PSpice ECE 65 Created by: Kristi Tsukida (Spring 2006) Edited by: Eldridge Alcantara (Winter 2009) Updated (Fall 2009) 1 OVERVIEW This tutorial will teach you all you need to know about

### SainSmart DDS Series User Manual (Software)

SainSmart DDS Series User Manual (Software) For Oscilloscope, Signal Generator and Logic Analyzer Updated software and user manual can be downloaded from http://www.sainsmart.com/tools-equipments/oscilloscope-dso/sainsmart-dds.html

### EXPERIMENT 4:- MEASUREMENT OF REACTANCE OFFERED BY CAPACITOR IN DIFFERENT FREQUENCY FOR R-C CIRCUIT

Kathmandu University Department of Electrical and Electronics Engineering BASIC ELECTRICAL LAB (ENGG 103) EXPERIMENT 4:- MEASUREMENT OF REACTANCE OFFERED BY CAPACITOR IN DIFFERENT FREQUENCY FOR R-C CIRCUIT

### FAST Fourier Transform (FFT) and Digital Filtering Using LabVIEW

FAST Fourier Transform (FFT) and Digital Filtering Using LabVIEW Wei Lin Department of Biomedical Engineering Stony Brook University Instructor s Portion Summary This experiment requires the student to

### EXPERIMENT NUMBER 8 CAPACITOR CURRENT-VOLTAGE RELATIONSHIP

1 EXPERIMENT NUMBER 8 CAPACITOR CURRENT-VOLTAGE RELATIONSHIP Purpose: To demonstrate the relationship between the voltage and current of a capacitor. Theory: A capacitor is a linear circuit element whose

### International Journal of Advanced Research in Computer Science and Software Engineering

Volume 2, Issue 8, August 2012 ISSN: 2277 128X International Journal of Advanced Research in Computer Science and Software Engineering Research Paper Available online at: www.ijarcsse.com Development of

### PC Based Oscilloscope Introduction

PC Based Oscilloscope Introduction PC Based oscilloscope uses an USB interface to connect with the computer. The computer wave display and operation are all completed via computer. The below picture is

### FREQUENCY RESPONSE ANALYZERS

FREQUENCY RESPONSE ANALYZERS Dynamic Response Analyzers Servo analyzers When you need to stabilize feedback loops to measure hardware characteristics to measure system response BAFCO, INC. 717 Mearns Road

### The RC Circuit. Pre-lab questions. Introduction. The RC Circuit

The RC Circuit Pre-lab questions 1. What is the meaning of the time constant, RC? 2. Show that RC has units of time. 3. Why isn t the time constant defined to be the time it takes the capacitor to become

### Laboratory #2: AC Circuits, Impedance and Phasors Electrical and Computer Engineering EE University of Saskatchewan

Authors: Denard Lynch Date: Aug 30 - Sep 28, 2012 Sep 23, 2013: revisions-djl Description: This laboratory explores the behaviour of resistive, capacitive and inductive elements in alternating current

### ε: Voltage output of Signal Generator (also called the Source voltage or Applied

Experiment #10: LR & RC Circuits Frequency Response EQUIPMENT NEEDED Science Workshop Interface Power Amplifier (2) Voltage Sensor graph paper (optional) (3) Patch Cords Decade resistor, capacitor, and

### UNIVERSITY OF NORTH CAROLINA AT CHARLOTTE. Department of Electrical and Computer Engineering

UNIVERSITY OF NORTH CAROLINA AT CHARLOTTE Department of Electrical and Computer Engineering Experiment No. 5 - Gain-Bandwidth Product and Slew Rate Overview: In this laboratory the student will explore

### PicoScope 3000 Quick start guide

PicoScope 3000 Quick start guide Pico Technology Ltd The Mill House Cambridge Street St. Neots Cambridgeshire PE19 1QB Tel: +44 (0) 1480 396 395 Fax: +44 (0) 1480 396 296 Email: tech@picotech.com Web:

### T = 1 f. Phase. Measure of relative position in time within a single period of a signal For a periodic signal f(t), phase is fractional part t p

Data Transmission Concepts and terminology Transmission terminology Transmission from transmitter to receiver goes over some transmission medium using electromagnetic waves Guided media. Waves are guided

### Experiment 2 Diode Applications: Rectifiers

ECE 3550 - Practicum Fall 2007 Experiment 2 Diode Applications: Rectifiers Objectives 1. To investigate the characteristics of half-wave and full-wave rectifier circuits. 2. To recognize the usefulness

### TESTS OF 1 MHZ SIGNAL SOURCE FOR SPECTRUM ANALYZER CALIBRATION 7/8/08 Sam Wetterlin

TESTS OF 1 MHZ SIGNAL SOURCE FOR SPECTRUM ANALYZER CALIBRATION 7/8/08 Sam Wetterlin (Updated 7/19/08 to delete sine wave output) I constructed the 1 MHz square wave generator shown in the Appendix. This

### Reading: HH Sections 4.11 4.13, 4.19 4.20 (pgs. 189-212, 222 224)

6 OP AMPS II 6 Op Amps II In the previous lab, you explored several applications of op amps. In this exercise, you will look at some of their limitations. You will also examine the op amp integrator and

### Lock - in Amplifier and Applications

Lock - in Amplifier and Applications What is a Lock in Amplifier? In a nut shell, what a lock-in amplifier does is measure the amplitude V o of a sinusoidal voltage, V in (t) = V o cos(ω o t) where ω o

www.velleman.be http://forum.velleman.be/ English : Content Hardware set-up... 5 Install the software... 6 Starting the software... 7 The Oscilloscope... 8 The Spectrum analyser... 9 The Transient recorder...

### Silicon Laboratories, Inc. Rev 1.0 1

Clock Division with Jitter and Phase Noise Measurements Introduction As clock speeds and communication channels run at ever higher frequencies, accurate jitter and phase noise measurements become more

### Techniques for Extending Real-Time Oscilloscope Bandwidth

Techniques for Extending Real-Time Oscilloscope Bandwidth Over the past decade, data communication rates have increased by a factor well over 10X. Data rates that were once 1Gb/sec and below are now routinely

### SIGNAL PROCESSING FOR EFFECTIVE VIBRATION ANALYSIS

SIGNAL PROCESSING FOR EFFECTIVE VIBRATION ANALYSIS Dennis H. Shreve IRD Mechanalysis, Inc Columbus, Ohio November 1995 ABSTRACT Effective vibration analysis first begins with acquiring an accurate time-varying

### An introduction to synchronous detection. A.Platil

An introduction to synchronous detection A.Platil Overview: Properties of SD Fourier transform and spectra General synchronous detector (AKA lock-in amplifier, syn. demodulator, Phase Sensitive Detector)

### CHAPTER 6 Frequency Response, Bode Plots, and Resonance

ELECTRICAL CHAPTER 6 Frequency Response, Bode Plots, and Resonance 1. State the fundamental concepts of Fourier analysis. 2. Determine the output of a filter for a given input consisting of sinusoidal

### Harmonic Balance Simulation on ADS

Harmonic Balance Simulation on ADS General Description of Harmonic Balance in Agilent ADS 1 Harmonic balance is a frequency-domain analysis technique for simulating nonlinear circuits and systems. It is

### PSPICE TUTORIAL (BASIC)

Department of Electrical & Computer Engineering PSPICE TUTORIAL (BASIC) Professor: Dr. Subbarao V. Wunnava Teaching Assistant: Rafael Romero COURTESY: ED LULE/ BORIS LINO/ORCAD Updated: Spring.2006, 07

### User s Guide DDS-3X25 USB ARBITRARY FUNCTION GENERATOR

User s Guide DDS-3X25 USB ARBITRARY FUNCTION GENERATOR Content General safety summary...1 Introduction...2 Chapter 1 Getting started...3 System Requirements...4 Installing Hardware...5 Installing Software...8

Performance of an IF sampling ADC in receiver applications David Buchanan Staff Applications Engineer Analog Devices, Inc. Introduction The concept of direct intermediate frequency (IF) sampling is not

### Video Feedthrough. A common source of RF distortion in pulse-modulated RF sources

Video Feedthrough El Toro 68C/69B Microwave Synthesizers Application Note A common source of RF distortion in pulse-modulated RF sources Introduction Video feedthrough is a very misunderstood term, which

### Frequency Shift Dither for Analogue to Digital Converters

Frequency Shift Dither for Analogue to Digital Converters Authors: Cornelis Jan Kikkert Associate Professor Head of Electrical and Computer Engineering Townsville, Queensland, 4811 Phone 07-47814259 Fax

### DSO-1062D/DSO-1102D/DSO-1202D different bandwidths. Digital Oscilloscope User Manual

DSO-1062D/DSO-1102D/DSO-1202D different bandwidths Digital Oscilloscope User Manual Contents Contents Contents... i Copyright Declaration... iv Chapter 1 Safety Tips... 1 1.1 General Safety Summary...

### High Definition Oscilloscopes

PRELIMINARY High Definition Oscilloscopes HDO4000 and HDO6000 Key Features 12-bit ADC resolution, up to 15-bit with enhanced resolution 200 MHz, 350 MHz, 500 MHz, 1 GHz bandwidths Long Memory up to 250

### Lab 4: BJT Amplifiers Part I

Lab 4: BJT Amplifiers Part I Objectives The objective of this lab is to learn how to operate BJT as an amplifying device. Specifically, we will learn the following in this lab: The physical meaning of

### Spectrum Analyzer. Software Instruction Manual

Spectrum Analyzer Software Instruction Manual 700 Chestnut Ridge Road Chestnut Ridge, NY, 10977-6499 Tel: (845) 425-4000 Fax: (845) 578 5985 teledynelecroy.com Spectrum Analyzer Software Instruction Manual

### GPIB Instrument Control

Session 2559 GPIB Instrument Control Leonard Sokoloff DeVry College of Technology Abstract Virtual Instrumentation is an important technology that is making a significant impact in today's industry, education

### AN-007 APPLICATION NOTE MEASURING MAXIMUM SUBWOOFER OUTPUT ACCORDING ANSI/CEA-2010 STANDARD INTRODUCTION CEA-2010 (ANSI) TEST PROCEDURE

AUDIOMATICA AN-007 APPLICATION NOTE MEASURING MAXIMUM SUBWOOFER OUTPUT ACCORDING ANSI/CEA-2010 STANDARD by Daniele Ponteggia - dp@audiomatica.com INTRODUCTION The Consumer Electronics Association (CEA),

### CHARGING and DISCHARGING CAPACITORS

Lab 4 Oscilloscopes, Electrocardiograms, Discharging Capacitors LAB 4a LAB 4b Lab 4c THE OSCILLOSCOPE ELECTROCARDIOGRAMS (ECG or EKG) CHARGING and DISCHARGING CAPACITORS EXPERIMENTAL QUESTION In this lab,

### Physics 15b Lab 4: Responses to Time Dependent Voltages

Physics 15b Lab 4: Responses to Time Dependent Voltages Chapter 8 in Purcell covers AC circuit. The chapter focuses on the response to sinusoidal signals V = Vo cos(wt). If a circuit containing only resistors,

### A Network Analyzer For Active Components

A Network Analyzer For Active Components EEEfCom 29-30 Juni ULM Marc Vanden Bossche, NMDG Engineering Remi Tuijtelaars, BSW Copyright 2005 NMDG Engineering Version 2 Outline Review of S-parameters Theory

### H BRIDGE INVERTER. Vdc. Corresponding values of Va and Vb A+ closed, Va = Vdc A closed, Va = 0 B+ closed, Vb = Vdc B closed, Vb = 0 A+ B+ A B

1. Introduction How do we make AC from DC? Answer the H-Bridge Inverter. H BRIDGE INVERTER Vdc A+ B+ Switching rules Either A+ or A is always closed, but never at the same time * Either B+ or B is always

### USB 3.0 CDR Model White Paper Revision 0.5

USB 3.0 CDR Model White Paper Revision 0.5 January 15, 2009 INTELLECTUAL PROPERTY DISCLAIMER THIS WHITE PAPER IS PROVIDED TO YOU AS IS WITH NO WARRANTIES WHATSOEVER, INCLUDING ANY WARRANTY OF MERCHANTABILITY,