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MALVINO & BATES. Electronic PRINCIPLES. SEVENTH EDITION. Chapter. 22. Nonlinear Op-Amp Circuits. Topics Covered in Chapter 22. Comparators with zero reference Comparators with non-zero references Comparators with hysteresis Window comparator The integrator Waveform conversion.
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MALVINO & BATES Electronic PRINCIPLES SEVENTH EDITION
Chapter 22 Nonlinear Op-Amp Circuits
Topics Covered in Chapter 22 • Comparators with zero reference • Comparators with non-zero references • Comparators with hysteresis • Window comparator • The integrator • Waveform conversion
Topics Covered in Chapter 22(Continued) • Waveform generation • Another triangular generator • Active diode circuits • The differentiator • Class D amplifier
Comparators with zero reference • Called zero-crossing detectors • Diode clamps used to protect comparators against large inputs • Usually interface their outputs with digital circuits
Diode clamps for protection +Vsat -Vsat Inverting comparator +VCC AVOL @ 100,000 vin vout -VEE vin vout
Inverting comparator with input bias compensation +VCC RB vin vout -VEE RB The trip point of a zero-crossing detector should be near zero volts.
+VZ + 0.7 -VZ - 0.7 Bounded output zero-crossing detector +VCC . . vin vout -VEE vin vout
Comparators with non-zero references • Sometimes called limit detectors • Op amps may be used • IC comparators are optimized by removing the internal compensating capacitor which increases switching speed
R2 Vref = (−VEE) R1+R2 Non-inverting threshold detector +VCC vin vout R2 . -VEE R1 vin Vref +Vsat vout -Vsat
IC comparators • Op amps have speed limitations due to the internal compensation capacitor. • Comparator ICs are optimized for non-linear operation so the capacitor is not needed. • Comparator ICs often have open-collector outputs to make interfacing more flexible.
Using a pullup resistor with an open-collector output stage +V pullup resistor . vout IC comparator When the transistor is off, the resistor pulls vout up to +V.
Comparators with hysteresis • Noise is any unwanted signal not related to the input • Noise can cause false triggering • Positive feedback creates hysteresis • Hysteresis prevents false triggers and speeds up switching
R1 B = R1+R2 UTP LTP The Schmitt trigger uses positive feedback +VCC vin . vout UTP = BVsat -VEE R1 . LTP = -BVsat R2 H = 2BVsat vin +Vsat vout -Vsat
UTP LTP vin +Vsat vout -Vsat Comparing a zero-crossing detector to a Schmitt trigger when both have noisy input signals. vin +Vsat vout -Vsat
Window comparator • Called a double-endedlimit detector • Detects when the input voltage is between two limits • Uses two comparators with two different trip points
Window comparator operation +VCC vout LTP +Vsat D1 . . . vin -VEE vout LTP HTP vin +VCC RL D2 Output is low when input is in window HTP -VEE
Integrator • Useful for converting rectangular pulses into linear ramps • Earliest part of exponential charge is used • Output ramps are almost perfect • Used to create time bases for oscilloscopes
T -T V = vin RC V Integrator circuit 10R . R C . vin vin vout 0 0 vout
Waveform conversion • A Schmitt trigger can be used to convert a sine wave to a rectangular wave • An integrator can convert a square wave to a triangular wave • The duty cycle of a limit detector can be controlled with an adjuster resistor
VP vout(pp) = 2fRC Rectangular to triangular converter 10R . R C . vin +VP vout vin -VP vout
R2 Vref = VCC R1+R2 Vref Triangle to pulse converter vin vout R2 . +VCC R1 vin vout
Waveform generation • Oscillators require no external input and still generate an output signal • Oscillators work because of positive feedback • A relaxation oscillator uses a charging capacitor • A triangular waveform is produced by cascading a relaxation oscillator and an integrator
UTP LTP 1+B 1-B T = 2RCln Relaxation oscillator R . vout C . vC R2 R1 vout
Triangular waveform generator R5 C2 . R3 . . R4 . C1 vout . R2 R1
R1 R2 UTP = Vsat R2 f = 4R1 R3 C Another triangular waveform generator R2 R4 . . . R3 .. C . vout R1 Schmitt trigger and cascaded integrator H = 2UTP Vout(pp) = H
Active half-wave rectifier . vin RL VK VK(CL) = AVOL An op amp with negative feedback allows the rectification of signals with amplitudes less than the diode knee voltage.
Active peak detector with reset . . RLC > 10T . vin C RL Reset
Active positive clamper . . 0 vin RL 0 An op amp with negative feedback allows the clamping of signals with amplitudes less than the diode knee voltage.
Differentiator • When a square wave drives an RCdifferentiator, the output is a series of narrow positive and negative voltage spikes • Using an op amp will improve the differentiator and provide a low output impedance
Differentiator circuit and operation R . C vin . vout 0.01R to 0.1R
Class D amplifier • Uses output transistors as switches • These transistors are alternately driven into saturation and cutoff by the output of a comparator • Provides very high circuit efficiencies • Popular in portable equipment