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K12982_cover 2/2/12 1:19 PM Page 1 C M Y CM MY CY CMY K BIOMEDICAL ENGINEERING NORTHROP SECOND EDITION A N ANALYSIS AND APPLICATION OF A L Y ANALOG ELECTRONIC S I S CIRCUITS TO BIOMEDICAL INSTRUMENTATION A N D Analysis and Application of Analog Electronic Circuits to Biomedical Instrumentation, T O A Second Edition helps biomedical engineers understand the basic analog electronic circuits used P for signal conditioning in biomedical instruments. It explains the function and design of signal B P conditioning systems using analog ICs—the circuits that enable ECG, EEG, EMG, ERG, tomographic IO L I C images, biochemical spectrograms, and other crucial medical applications. M A E T D I This book demonstrates how op amps are the keystone of modern analog signal conditioning O IC system design and illustrates how they can be used to build instrumentation amplifiers, active filters, N A and many other biomedical instrumentation systems and subsystems. It introduces the mathematical L O tools used to describe noise and its propagation through linear systems, and it looks at how signal- IN F to-noise ratios can be improved by signal averaging and linear filtering. S A T N R Features U A •Analyzes the properties of photonic sensors and emitters and the circuits that power them M L O •Details the design of instrumentation amplifiers and medical isolation amplifiers EN G •Considers the modulation and demodulation of biomedical signals T E A •Examines analog power amplifiers, including power op amps and class D (switched) PAs L T E •Describes wireless patient monitoring, including Wi-Fi and Bluetooth communication protocols IO C T N •Explores RFID, GPS, and ultrasonic tags and the design of fractal antennas R O •Addresses special analog electronic circuits and systems such as phase-sensitive rectifiers, N phase detectors, and IC thermometers I C C By explaining the “building blocks” of biomedical systems, the author illustrates the importance I R of signal conditioning systems in the devices that gather and monitor patients’ critical medical C information. Fully revised and updated, this second edition includes new chapters, a glossary, and U end-of-chapter problems. I T S SECOND K12982 EDITION The BIOMEDICAL ENGINEERING Series Michael R. Neuman, Series Editor 6000 Broken Sound Parkway, NW Suite 300, Boca Raton, FL 33487 711 Third Avenue an informa business New York, NY 10017 www.crcpress.com 2 Park Square, Milton Park w w w. c r c p r e s s . c o m Abingdon, Oxon OX14 4RN, UK Composite SECOND EDITION ANALYSIS AND APPLICATION OF ANALOG ELECTRONIC CIRCUITS TO BIOMEDICAL INSTRUMENTATION Michael R. Neuman, Series Editor Published Titles Electromagnetic Analysis and Design in Magnetic Resonance Imaging, Jianming Jin Endogenous and Exogenous Regulation and Control of Physiological Systems, Robert B. Northrop Artificial Neural Networks in Cancer Diagnosis, Prognosis, and Treatment, Raouf N.G. Naguib and Gajanan V. Sherbet Medical Image Registration, Joseph V. Hajnal, Derek Hill, and David J. Hawkes Introduction to Dynamic Modeling of Neuro-Sensory Systems, Robert B. Northrop Noninvasive Instrumentation and Measurement in Medical Diagnosis, Robert B. Northrop Handbook of Neuroprosthetic Methods, Warren E. Finn and Peter G. LoPresti Angiography and Plaque Imaging: Advanced Segmentation Techniques, Jasjit S. Suri and Swamy Laxminarayan Biomedical Image Analysis, Rangaraj M. Rangayyan Foot and Ankle Motion Analysis: Clinical Treatment and Technology, Gerald F. Harris, Peter A. Smith, Richard M. Marks Introduction to Molecular Biology, Genomics and Proteomic for Biomedical Engineers, Robert B. Northrop and Anne N. Connor Signals and Systems Analysis in Biomedical Engineering, Second Edition, Robert B. Northrop An Introduction to Biomaterials, Second Edition Jeffrey O. Hollinger Analysis and Application of Analog Electronic Circuits to Biomedical Instrumentation, Second Edition, Robert B. Northrop SECOND EDITION ANALYSIS AND APPLICATION OF ANALOG ELECTRONIC CIRCUITS TO BIOMEDICAL INSTRUMENTATION ROBERT B. NORTHROP Boca Raton London New York CRC Press is an imprint of the Taylor & Francis Group, an informa business CRC Press Taylor & Francis Group 6000 Broken Sound Parkway NW, Suite 300 Boca Raton, FL 33487-2742 © 2012 by Taylor & Francis Group, LLC CRC Press is an imprint of Taylor & Francis Group, an Informa business No claim to original U.S. Government works Version Date: 20120120 International Standard Book Number-13: 978-1-4398-6743-3 (eBook - PDF) This book contains information obtained from authentic and highly regarded sources. Reasonable efforts have been made to publish reliable data and information, but the author and publisher cannot assume responsibility for the valid- ity of all materials or the consequences of their use. The authors and publishers have attempted to trace the copyright holders of all material reproduced in this publication and apologize to copyright holders if permission to publish in this form has not been obtained. If any copyright material has not been acknowledged please write and let us know so we may rectify in any future reprint. Except as permitted under U.S. Copyright Law, no part of this book may be reprinted, reproduced, transmitted, or uti- lized in any form by any electronic, mechanical, or other means, now known or hereafter invented, including photocopy- ing, microfilming, and recording, or in any information storage or retrieval system, without written permission from the publishers. For permission to photocopy or use material electronically from this work, please access www.copyright.com (http:// www.copyright.com/) or contact the Copyright Clearance Center, Inc. (CCC), 222 Rosewood Drive, Danvers, MA 01923, 978-750-8400. CCC is a not-for-profit organization that provides licenses and registration for a variety of users. For organizations that have been granted a photocopy license by the CCC, a separate system of payment has been arranged. Trademark Notice: Product or corporate names may be trademarks or registered trademarks, and are used only for identification and explanation without intent to infringe. Visit the Taylor & Francis Web site at http://www.taylorandfrancis.com and the CRC Press Web site at http://www.crcpress.com Contents List of Figures ................................................................................................................................xiii Preface..........................................................................................................................................xxxv Author .........................................................................................................................................xxxix Chapter 1 Sources and Properties of Biomedical Signals ............................................................1 1.1 Introduction .......................................................................................................1 1.2 Sources of Endogenous Bioelectric Signals ......................................................1 1.3 Nerve Action Potentials .....................................................................................2 1.4 Muscle Action Potentials ...................................................................................4 1.4.1 Introduction ..........................................................................................4 1.4.2 The Origin of EMGs ............................................................................4 1.4.3 EMG Amplifiers ...................................................................................7 1.5 Electrocardiogram .............................................................................................7 1.5.1 Introduction ..........................................................................................7 1.5.2 ECG Amplifiers ....................................................................................8 1.6 Other Biopotentials ............................................................................................9 1.6.1 Introduction ..........................................................................................9 1.6.2 EEGs.....................................................................................................9 1.6.3 Other Body Surface Potentials ...........................................................10 1.6.4 Discussion...........................................................................................10 1.7 Electrical Properties of Bioelectrodes .............................................................10 1.8 Exogenous Bioelectric Signals ........................................................................13 1.9 Chapter Summary ...........................................................................................15 Chapter 2 Properties and Models of Semiconductor Devices Used in Analog Electronic Systems .....................................................................................................17 2.1 Introduction .....................................................................................................17 2.2 pn Junction Diodes ..........................................................................................17 2.2.1 Introduction ........................................................................................17 2.2.2 pn Diode’s Volt–Ampere Curve .........................................................18 2.2.3 High-Frequency Behavior of Diodes ..................................................20 2.2.4 Schottky Diodes .................................................................................23 2.3 Midfrequency Models for BJT Behavior .........................................................25 2.3.1 Introduction ........................................................................................25 2.3.2 Midfrequency Small-Signal Models for BJTs ....................................27 2.3.3 Amplifiers Using One BJT .................................................................31 2.3.4 Simple Amplifiers Using Two Transistors at Midfrequencies ...........35 2.3.5 Use of Transistor Dynamic Loads to Improve Amplifier Performance .......................................................................41 2.4 Midfrequency Models for Field-Effect Transistors .........................................44 2.4.1 Introduction ........................................................................................44 2.4.2 JFETs at Midfrequencies ....................................................................45 2.4.3 MOSFET Behavior at Midfrequencies...............................................48 v vi Contents 2.4.4 Basic, Midfrequency, Single FET Amplifiers ....................................50 2.4.5 Simple Amplifiers Using Two FETs at Midfrequencies .....................53 2.5 High-Frequency Models for Transistors and Simple Transistor Amplifiers ...............................................................................57 2.5.1 Introduction ........................................................................................57 2.5.2 High-Frequency SSMs for BJTs and FETs ........................................59 2.5.3 Behavior of One-BJT and One-FET Amplifiers at High Frequencies ................................................................................63 2.5.4 High-Frequency Behavior of Two-Transistor Amplifiers ...................72 2.5.5 Broadbanding Strategies ....................................................................76 2.6 Photons, Photodiodes, Photoconductors, LEDs, and Laser Diodes ................78 2.6.1 Introduction ........................................................................................78 2.6.2 PIN Photodiodes .................................................................................79 2.6.3 Avalanche Photodiodes ......................................................................84 2.6.4 Signal Conditioning Circuits for Photodiodes ...................................87 2.6.5 Photoconductors .................................................................................90 2.6.6 LEDs...................................................................................................93 2.6.7 Laser Diodes .......................................................................................94 2.7 Chapter Summary .........................................................................................102 Chapter 3 Differential Amplifier ..............................................................................................111 3.1 Introduction ...................................................................................................111 3.2 DA Circuit Architecture ................................................................................111 3.3 Common-Mode Rejection Ratio ....................................................................114 3.4 CM and DM Gain of Simple DA Stages at High Frequencies ......................116 3.4.1 Introduction ......................................................................................116 3.4.2 High-Frequency Behavior of A and A for the JFET DA ..............117 C D 3.4.3 High-Frequency Behavior of A and A for the BJT DA ................120 D C 3.5 Input Resistance of Simple Transistor DAs ...................................................121 3.6 How Signal Source Impedance Affects the Low-Frequency CMRR ...........123 3.7 How Op Amps Can be Used to Make DAs for Medical Applications ..........127 3.7.1 Introduction ......................................................................................127 3.7.2 Op Amp DA Designs for Instrumentation .......................................127 3.8 Chapter Summary .........................................................................................129 Chapter 4 General Properties of Electronic, Single-Loop Feedback Systems .........................139 4.1 Introduction ...................................................................................................139 4.2 Classification of Electronic Feedback Systems .............................................139 4.3 Some Effects of Negative Voltage Feedback .................................................140 4.3.1 Reduction of Output Resistance .......................................................140 4.3.2 Reduction of Total Harmonic Distortion..........................................142 4.3.3 Increase of NFB Amplifier Bandwidth at the Cost of Gain .............143 4.3.4 Decrease in Gain Sensitivity ............................................................146 4.4 Effects of Negative Current Feedback...........................................................148 4.5 Positive Voltage Feedback .............................................................................151 4.5.1 Introduction ......................................................................................151 4.5.2 Amplifier with Capacitance Neutralization .....................................151 4.6 Chapter Summary .........................................................................................154 Contents vii Chapter 5 Feedback, Frequency Response, and Amplifier Stability ........................................161 5.1 Introduction ...................................................................................................161 5.2 Review of Amplifier Frequency Response ....................................................161 5.2.1 Introduction ......................................................................................161 5.2.2 Bode Plots .........................................................................................162 5.3 What Is Meant by Feedback System Stability ...............................................165 5.4 Use of Root Locus in Feedback Amplifier Design ........................................173 5.5 Use of Root Locus in the Design of “Linear” Oscillators .............................180 5.5.1 Introduction ......................................................................................180 5.5.2 Phase-Shift Oscillator ......................................................................182 5.5.3 Wien Bridge Oscillator .....................................................................184 5.6 Chapter Summary .........................................................................................186 Chapter 6 Operational Amplifiers and Comparators ................................................................193 6.1 Ideal Op Amp ................................................................................................193 6.1.1 Introduction ......................................................................................193 6.1.2 Properties of Ideal Op Amps............................................................194 6.1.3 Some Examples of Op Amp Circuits Analyzed Using IOAs ...........194 6.2 Practical Op Amps ........................................................................................198 6.2.1 Introduction ......................................................................................198 6.2.2 Functional Categories of Real Op Amps .........................................198 6.3 Gain-Bandwidth Relations for Voltage-Feedback OAs .................................200 6.3.1 GBWP of an Inverting Summer .......................................................200 6.3.2 GBWP of a Noninverting Voltage-Feedback OA.............................201 6.4 Gain-Bandwidth Relations in Current Feedback Amplifiers ........................202 6.4.1 Noninverting Amplifier Using a CFOA ...........................................202 6.4.2 Inverting Amplifier Using a CFOA ..................................................203 6.4.3 Limitations of CFOAs ......................................................................204 6.5 Analog Voltage Comparators ........................................................................206 6.5.1 Introduction ......................................................................................206 6.5.2 Applications of Voltage Comparators ..............................................209 6.5.3 Discussion.........................................................................................211 6.6 Some Applications of Op Amps in Biomedicine ..........................................212 6.6.1 Introduction ......................................................................................212 6.6.2 Analog Integrators and Differentiators ............................................213 6.6.3 Charge Amplifiers ............................................................................215 6.6.4 A Two-Op Amp, ECG Amplifier .....................................................217 6.7 Chapter Summary .........................................................................................218 Chapter 7 Introduction to Analog Active Filters ......................................................................225 7.1 Introduction ...................................................................................................225 7.2 Active Filter Applications ..............................................................................226 7.3 Types of Analog Active Filters ......................................................................226 7.3.1 Introduction ......................................................................................226 7.3.2 Sallen & Key, Controlled-Source AFs .............................................226 7.3.3 Biquad Active Filters ........................................................................230 7.3.4 Generalized Impedance Converter AFs ...........................................234 7.3.5 Choice of AF Components ...............................................................238 viii Contents 7.4 Electronically Tunable AFs ...........................................................................239 7.4.1 Introduction ......................................................................................239 7.4.2 A Tunable, Two-Loop Biquad LPF ..................................................240 7.4.3 Use of Digitally Controlled Potentiometers to Tune a Sallen & Key LPF ............................................................................242 7.5 Chapter Summary .........................................................................................243 Chapter 8 Instrumentation and Medical Isolation Amplifiers ..................................................249 8.1 Introduction ...................................................................................................249 8.2 Instrumentation Amps ...................................................................................250 8.3 Medical Isolation Amps ................................................................................251 8.3.1 Introduction ......................................................................................251 8.3.2 Common Types of Medical Isolation Amplifiers .............................252 8.3.3 A Prototype Magnetic MIA .............................................................256 8.4 Safety Standards in Medical Electronic Amplifiers ......................................259 8.4.1 Introduction ......................................................................................259 8.4.2 Certification Criteria for Medical Electronic Systems .....................260 8.5 Medical-Grade Power Supplies .....................................................................263 8.6 Chapter Summary .........................................................................................264 Chapter 9 Noise and the Design of Low-Noise Signal Conditioning Systems for Biomedical Applications ..........................................................................................265 9.1 Introduction ...................................................................................................265 9.2 Descriptors of Random Noise in Biomedical Measurement Systems ...........266 9.2.1 Introduction ......................................................................................266 9.2.2 Probability Density Function ...........................................................266 9.2.3 Autocorrelation Function and the Power Density Spectrum ............268 9.2.4 Sources of Random Noise in Signal Conditioning Systems ............270 9.2.4.1 Noise from Resistors .........................................................271 9.2.4.2 Two-Source Noise Model for Active Devices ..................274 9.2.4.3 Noise in JFETs ..................................................................275 9.2.4.4 Noise in BJTs ....................................................................276 9.3 Propagation of Noise through LTI Filters .....................................................277 9.4 Noise Factor and Figure of Amplifiers ..........................................................279 9.4.1 Broadband Noise Factor and Noise Figure of Amplifiers ................279 9.4.2 Spot Noise Factor and Figure ...........................................................280 9.4.3 Transformer Optimization of Amplifier NF and Output SNR ................................................................................................282 9.5 Cascaded Noisy Amplifiers ...........................................................................284 9.5.1 Introduction ......................................................................................284 9.5.2 SNR of Cascaded, Noisy Amplifiers ................................................284 9.6 Noise in Differential Amplifiers ....................................................................285 9.6.1 Introduction ......................................................................................285 9.6.2 Calculation of the SNR of the DA ..................................................286 o 9.7 Effect of Feedback on Noise..........................................................................287 9.7.1 Introduction ......................................................................................287 9.7.2 Calculation of SNR of an Amplifier with NVFB ...........................287 o Contents ix 9.8 Examples of Noise-Limited Resolution of Certain Signal Conditioning Systems ....................................................................................288 9.8.1 Introduction ......................................................................................288 9.8.2 Calculation of the Minimum Resolvable AC Input Voltage to a Noisy Op Amp .................................................................................289 9.8.3 Calculation of the Minimum Resolvable AC Input Signal to Obtain a Specified SNR in a Transformer-Coupled Amplifier .......290 o 9.8.4 Effect of Capacitance Neutralization on the SNR of an o Electrometer Amplifier Used for Glass Micropipette, Intracellular, Transmembrane Voltage Recording ...........................291 9.8.5 Calculation of the Smallest Resolvable ∆R/R in a Wheatstone Bridge Determined by Noise ............................................................294 9.8.5.1 Introduction ......................................................................294 9.8.5.2 Bridge Sensitivity Calculations ........................................294 9.8.5.3 Bridge SNR ......................................................................294 o 9.8.6 Calculation of SNR Improvement Using a Lock-In Amplifier ........295 9.8.7 Signal-to-Noise Ratio Improvement by Signal Averaging of Evoked Transient Signals .................................................................299 9.8.7.1 Introduction ......................................................................299 9.8.7.2 Analysis of SNR Improvement by Averaging ..................300 9.8.7.3 Discussion .........................................................................303 9.9 Some Low-Noise Amplifiers .........................................................................304 9.10 Art of Low-Noise Signal Conditioning System Design ................................304 9.11 Chapter Summary .........................................................................................307 Chapter 10 Digital Interfaces ......................................................................................................315 10.1 Introduction ...................................................................................................315 10.2 Aliasing and the Sampling Theorem .............................................................315 10.2.1 Introduction ......................................................................................315 10.2.2 Sampling Theorem ...........................................................................315 10.3 Digital-to-Analog Converters ........................................................................319 10.3.1 Introduction ......................................................................................319 10.3.2 DAC Designs ....................................................................................319 10.3.3 Static and Dynamic Characteristics of DACs ..................................323 10.4 Sample-and-Hold Circuits .............................................................................326 10.5 Analog-to-Digital Converters ........................................................................327 10.5.1 Introduction ......................................................................................327 10.5.2 Tracking (Servo) ADC .....................................................................328 10.5.3 Successive Approximation ADC ......................................................329 10.5.4 Integrating Converters ......................................................................330 10.5.5 Flash Converters ...............................................................................334 10.5.6 Delta–Sigma ADCs ..........................................................................337 10.6 Quantization Noise ........................................................................................341 10.7 Chapter Summary .........................................................................................345 Chapter 11 Modulation and Demodulation of Biomedical Signals ............................................349 11.1 Introduction ...................................................................................................349 11.2 Modulation of a Sinusoidal Carrier Viewed in the Frequency Domain ........350

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All chapters include an introduction and chapter summary.Sources and Properties of Biomedical SignalsSources of Endogenous Bioelectric SignalsNerve Action PotentialsMuscle Action PotentialsThe ElectrocardiogramOther BiopotentialsElectrical Properties of BioelectrodesExogenous Bioelectric SignalsProp
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