- •Analysis and Application of Analog Electronic Circuits to Biomedical Instrumentation
- •Dedication
- •Preface
- •Reader Background
- •Rationale
- •Description of the Chapters
- •Features
- •The Author
- •Table of Contents
- •1.1 Introduction
- •1.2 Sources of Endogenous Bioelectric Signals
- •1.3 Nerve Action Potentials
- •1.4 Muscle Action Potentials
- •1.4.1 Introduction
- •1.4.2 The Origin of EMGs
- •1.5 The Electrocardiogram
- •1.5.1 Introduction
- •1.6 Other Biopotentials
- •1.6.1 Introduction
- •1.6.2 EEGs
- •1.6.3 Other Body Surface Potentials
- •1.7 Discussion
- •1.8 Electrical Properties of Bioelectrodes
- •1.9 Exogenous Bioelectric Signals
- •1.10 Chapter Summary
- •2.1 Introduction
- •2.2.1 Introduction
- •2.2.4 Schottky Diodes
- •2.3.1 Introduction
- •2.4.1 Introduction
- •2.5.1 Introduction
- •2.5.5 Broadbanding Strategies
- •2.6 Photons, Photodiodes, Photoconductors, LEDs, and Laser Diodes
- •2.6.1 Introduction
- •2.6.2 PIN Photodiodes
- •2.6.3 Avalanche Photodiodes
- •2.6.4 Signal Conditioning Circuits for Photodiodes
- •2.6.5 Photoconductors
- •2.6.6 LEDs
- •2.6.7 Laser Diodes
- •2.7 Chapter Summary
- •Home Problems
- •3.1 Introduction
- •3.2 DA Circuit Architecture
- •3.4 CM and DM Gain of Simple DA Stages at High Frequencies
- •3.4.1 Introduction
- •3.5 Input Resistance of Simple Transistor DAs
- •3.7 How Op Amps Can Be Used To Make DAs for Medical Applications
- •3.7.1 Introduction
- •3.8 Chapter Summary
- •Home Problems
- •4.1 Introduction
- •4.3 Some Effects of Negative Voltage Feedback
- •4.3.1 Reduction of Output Resistance
- •4.3.2 Reduction of Total Harmonic Distortion
- •4.3.4 Decrease in Gain Sensitivity
- •4.4 Effects of Negative Current Feedback
- •4.5 Positive Voltage Feedback
- •4.5.1 Introduction
- •4.6 Chapter Summary
- •Home Problems
- •5.1 Introduction
- •5.2.1 Introduction
- •5.2.2 Bode Plots
- •5.5.1 Introduction
- •5.5.3 The Wien Bridge Oscillator
- •5.6 Chapter Summary
- •Home Problems
- •6.1 Ideal Op Amps
- •6.1.1 Introduction
- •6.1.2 Properties of Ideal OP Amps
- •6.1.3 Some Examples of OP Amp Circuits Analyzed Using IOAs
- •6.2 Practical Op Amps
- •6.2.1 Introduction
- •6.2.2 Functional Categories of Real Op Amps
- •6.3.1 The GBWP of an Inverting Summer
- •6.4.3 Limitations of CFOAs
- •6.5 Voltage Comparators
- •6.5.1 Introduction
- •6.5.2. Applications of Voltage Comparators
- •6.5.3 Discussion
- •6.6 Some Applications of Op Amps in Biomedicine
- •6.6.1 Introduction
- •6.6.2 Analog Integrators and Differentiators
- •6.7 Chapter Summary
- •Home Problems
- •7.1 Introduction
- •7.2 Types of Analog Active Filters
- •7.2.1 Introduction
- •7.2.3 Biquad Active Filters
- •7.2.4 Generalized Impedance Converter AFs
- •7.3 Electronically Tunable AFs
- •7.3.1 Introduction
- •7.3.3 Use of Digitally Controlled Potentiometers To Tune a Sallen and Key LPF
- •7.5 Chapter Summary
- •7.5.1 Active Filters
- •7.5.2 Choice of AF Components
- •Home Problems
- •8.1 Introduction
- •8.2 Instrumentation Amps
- •8.3 Medical Isolation Amps
- •8.3.1 Introduction
- •8.3.3 A Prototype Magnetic IsoA
- •8.4.1 Introduction
- •8.6 Chapter Summary
- •9.1 Introduction
- •9.2 Descriptors of Random Noise in Biomedical Measurement Systems
- •9.2.1 Introduction
- •9.2.2 The Probability Density Function
- •9.2.3 The Power Density Spectrum
- •9.2.4 Sources of Random Noise in Signal Conditioning Systems
- •9.2.4.1 Noise from Resistors
- •9.2.4.3 Noise in JFETs
- •9.2.4.4 Noise in BJTs
- •9.3 Propagation of Noise through LTI Filters
- •9.4.2 Spot Noise Factor and Figure
- •9.5.1 Introduction
- •9.6.1 Introduction
- •9.7 Effect of Feedback on Noise
- •9.7.1 Introduction
- •9.8.1 Introduction
- •9.8.2 Calculation of the Minimum Resolvable AC Input Voltage to a Noisy Op Amp
- •9.8.5.1 Introduction
- •9.8.5.2 Bridge Sensitivity Calculations
- •9.8.7.1 Introduction
- •9.8.7.2 Analysis of SNR Improvement by Averaging
- •9.8.7.3 Discussion
- •9.10.1 Introduction
- •9.11 Chapter Summary
- •Home Problems
- •10.1 Introduction
- •10.2 Aliasing and the Sampling Theorem
- •10.2.1 Introduction
- •10.2.2 The Sampling Theorem
- •10.3 Digital-to-Analog Converters (DACs)
- •10.3.1 Introduction
- •10.3.2 DAC Designs
- •10.3.3 Static and Dynamic Characteristics of DACs
- •10.4 Hold Circuits
- •10.5 Analog-to-Digital Converters (ADCs)
- •10.5.1 Introduction
- •10.5.2 The Tracking (Servo) ADC
- •10.5.3 The Successive Approximation ADC
- •10.5.4 Integrating Converters
- •10.5.5 Flash Converters
- •10.6 Quantization Noise
- •10.7 Chapter Summary
- •Home Problems
- •11.1 Introduction
- •11.2 Modulation of a Sinusoidal Carrier Viewed in the Frequency Domain
- •11.3 Implementation of AM
- •11.3.1 Introduction
- •11.3.2 Some Amplitude Modulation Circuits
- •11.4 Generation of Phase and Frequency Modulation
- •11.4.1 Introduction
- •11.4.3 Integral Pulse Frequency Modulation as a Means of Frequency Modulation
- •11.5 Demodulation of Modulated Sinusoidal Carriers
- •11.5.1 Introduction
- •11.5.2 Detection of AM
- •11.5.3 Detection of FM Signals
- •11.5.4 Demodulation of DSBSCM Signals
- •11.6 Modulation and Demodulation of Digital Carriers
- •11.6.1 Introduction
- •11.6.2 Delta Modulation
- •11.7 Chapter Summary
- •Home Problems
- •12.1 Introduction
- •12.2.1 Introduction
- •12.2.2 The Analog Multiplier/LPF PSR
- •12.2.3 The Switched Op Amp PSR
- •12.2.4 The Chopper PSR
- •12.2.5 The Balanced Diode Bridge PSR
- •12.3 Phase Detectors
- •12.3.1 Introduction
- •12.3.2 The Analog Multiplier Phase Detector
- •12.3.3 Digital Phase Detectors
- •12.4 Voltage and Current-Controlled Oscillators
- •12.4.1 Introduction
- •12.4.2 An Analog VCO
- •12.4.3 Switched Integrating Capacitor VCOs
- •12.4.6 Summary
- •12.5 Phase-Locked Loops
- •12.5.1 Introduction
- •12.5.2 PLL Components
- •12.5.3 PLL Applications in Biomedicine
- •12.5.4 Discussion
- •12.6 True RMS Converters
- •12.6.1 Introduction
- •12.6.2 True RMS Circuits
- •12.7 IC Thermometers
- •12.7.1 Introduction
- •12.7.2 IC Temperature Transducers
- •12.8 Instrumentation Systems
- •12.8.1 Introduction
- •12.8.5 Respiratory Acoustic Impedance Measurement System
- •12.9 Chapter Summary
- •References
Sources and Properties of Biomedical Signals |
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higher, but the phases are still random to reduce the duty cycle of individual SMUs. It is this asynchronicity that makes strong EMGs look like noise on a CRT display.
1.4.3EMG Amplifiers
The amplifiers used for clinical EMG recording must meet the same stringent specifications for low-leakage currents as do ECG, EEG, and other amplifiers used to measure human body potentials (see Chapter 8). EMG amplifier gains are typically X1000 and their bandwidths reflect the transient nature of the SMU action potentials. An EMG amplifier is generally reactively coupled, with low and high −3-dB frequencies of 100 and 3 kHz, respectively. With an amplifier having variable low and high −3-dB frequencies, one generally starts with a wide-pass bandwidth, e.g., 50 to 10 kHz, and gradually restricts it until individual EMG spikes just begin to round up and change shape. Such an ad hoc adjusted bandwidth will give a better output signal-to-noise ratio than one that is too wide or too narrow.
EMGs can be viewed in the time domain (most useful when single fibers or SMUs are being recorded), in the frequency domain (the FFT is taken from an entire, surface-recorded EMG burst under standard conditions), or in the time–frequency (TF) domain (see Section 3.2.3 of Northrop, 2002). In the latter case, the TF display shows the frequencies in the EMG burst as a function of time. In general, higher frequency content in the TF display indicates that more SMUs are being activated at a higher rate (Hannaford and Lehman, 1986). TF analysis can show how agonist–antagonist muscle pairs are controlled to perform a specific motor task.
Still another way to characterize EMG activity in the time domain is to pass the EMG through a true RMS (TRMS) conversion circuit, such as an AD637 IC. The output of the TRMS circuit is a smoothed, positive voltage proportional to the square root of the time average of x2(t). The time averaging is done by a single time-constant, low-pass filter. For another time domain display modality, the EMG signal can be full wave rectified and lowpass filtered to smooth it.
1.5The Electrocardiogram
1.5.1Introduction
One of the most important electrophysiological measurements in medical diagnosis and patient care is that of the electrocardiogram (ECG or EKG). Because the heart is an organ essentially made of muscle, every time it contracts during the cardiac pumping cycle, it generates a spatio–temporal
© 2004 by CRC Press LLC
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Analysis and Application of Analog Electronic Circuits |
electric field coupled through the anatomically complex volume conductor of the thorax and abdomen to the skin, where a spatio–temporal potential difference can be measured. The amplitude and waveshape of the ECG depends on where the measuring electrode pair is located on the skin surface.
Before electronic amplification was invented, Willem Einthoven measured the ECG in 1901 using a magnetic string galvanometer. The galvanometer was connected to the patient by two wires connected to two carbon rods immersed in two jars of saline solution in which the patient placed either two hands or a hand and a leg (Northrop, 2002). With the advent of electronic amplification in 1928, it was quickly discovered that many interesting features of the ECG could be revealed by using different electrode placements (e.g., AV and precordial leads, and the Frank vector cardiography lead system) (see Chapter 10 through Chapter 12 in Guyton, 1991; Section 4.6 in Webster, 1992; and Section 4.4 in Northrop, 2002).
Figure 1.4 illustrates schematically the important pacemaker, cardiac muscle and conduction bundle transmembrane potentials in the normal human heart and their relation to the classic, Lead III ECG wave. Note that, following atrial contraction, excitation is conducted to the AV node and then to the ventricles by a complex network of specialized muscle cells forming the conduction bundle system. Propagation delay through the bundles and Purkinje fibers allows the ventricles to contract after the atrial contraction has had time to fill them with blood. The QRS spike in the ECG is seen to be associated with the rapid rate of depolarization of ventricular muscle just preceding its contraction. The P wave is caused by atrial depolarization and the T wave is associated with ventricular muscle repolarization.
1.5.2ECG Amplifiers
Wherever recorded, the ECG QRS spike can range from a 400-μV to 2.5-mV peak. Its amplitude depends on the recording site and the patient’s body type; thus the gain required for ECG amplification is approximately 103. ECG amplifiers are reactively coupled with standardized −3-dB corner frequencies at 0.05 and 100 Hz. If ECG bandwidth were not standardized, ECG interpretation would be difficult and confusing. Most ECG amplifiers allow the operator to switch in a 60-Hz notch filter to attenuate 60-Hz interference that can appear at the output in spite of differential amplification. The notch filter causes little distortion of the raw ECG output signal.
A further requirement of all ECG amplifiers is that they have galvanic isolation (see Chapter 8), which is required to protect the patient from electroshock accidents. Galvanic isolation places a very high impedance between the patient, the ECG electrodes, and ECG amplifier input ground, and the ECG amplifier output and output ground. This limits any current that might flow through the patient to the single microamps if the patient accidentally makes contact with the power mains while connected to the ECG system
© 2004 by CRC Press LLC