[Engineering Essentials]
Back To Amp Camp
A little of the old, a little of the new—here's a quick brushup on amplifier lore.
Don Tuite
ED Online ID #19000
June 12, 2008
Copyright © 2006 Penton Media, Inc., All rights reserved. Printing of this document is for personal use only.
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Amplifiers are fundamental circuit-design elements. They
drive everything from earbuds to antennas. Placed ahead
of analog-to-digital converters (ADCs), they reshape signals
from sources as diverse as strain-gauges to ultrasound
probes. Through proper selection of feedback passives, they
can be configured into high-pass, low-pass, band-pass, and
band-elimination filters. Feed them with multiple signals, and
they produce harmonic series of all the components of those
inputs—good for some applications, a headache in others.
You’d think this venerable component had little left in the
innovation department, but it continues to evolve nonetheless.
What follows is a review of amplifier basics with a twist. It
assumes some engineering knowledge of how transistors are
configured into amplifiers, so it will focus more on what’s new
and what may not be so widely understood in a universe dominated
by digital thinking.
AMPLIFIER ABCS
These ABCs don’t get into how to bias a transistor, but rather
how the transistor is operated. It once was a matter of where
the device was operated on its transfer curve (Fig. 1). Now, the
amplifier class alphabet extends beyond the old classifications.
In class A, the active device is biased so that it operates in its
linear conduction region during the entire input cycle. In class B
amplifiers, there are two devices. The input waveform is split—
one active device conducts during half of an input cycle, the
other during the other half. Class AB amplifiers resemble class
Bs, except they bias their active devices so that both conduct
during some portion of the input cycle.
In class C, a single device is biased whereby it conducts during
only a small portion of an input cycle. Energy is driven into
a high-Q LC tank circuit that continues to ring at its resonant
frequency during the portions of the cycle when the active
device isn’t conducting. An analogy would be continuously
tapping a big bell with a small hammer at a rate equal to the
resonant frequency of the bell.
In the beginning, classification had something to say about
linearity versus efficiency. Class A amplifiers can be made very
linear, but their efficiency is limited. In theory, a class A amp
can achieve 50% efficiency with inductive output coupling or
25% with capacitive coupling. Class B amplifiers are subject
to “crossover” distortion, but their efficiency is theoretically as
high as 78.5%.
Class AB sacrifices some of that efficiency for lower distortion.
Class C amps can achieve up to 90% efficiency. The
resonance effect of the LC-tuned circuit minimizes distortion.
Class B amplifiers are sometimes called “push-pull” because
the outputs of the active devices have a 180° phase relationship.
(For a different kind of push-pull configuration, see fig. 4, as well as “Bridge-
Tied Load Amplifiers,” at www.electronicdesign.com, Drill
Deeper 18998.)
Beyond class C, the simple relationship between alphabetical
designations and the input signal’s application to the active
device’s transfer characteristic starts to break down. For example,
in class D amps there are two devices, as in a class B amp.
But they’re driven between saturation and cutoff by a square
wave with a frequency significantly higher than the highestfrequency
component of the input waveform.
The pulse width or pulse density of the square wave is
variable, and one or the other is controlled by the input signal.
At the amplifier output, the switching frequency and its
harmonics are attenuated by a low-pass filter, leaving only the
amplified input waveform.
With field-effect transistors operating most of the time in
either cutoff or saturation, losses are primarily from the transistors’
forward-voltage drops. Class D amps can achieve efficiencies
as high as 90%, with distortion levels approaching class AB. Suppressing
radiated and conducted interference from the switching
circuitry is challenging.
Classes E and F are related to class C, since they’re RF
amplifier topologies that use LC tank circuits.
Where class C amplifiers are widely
used below 100 MHz, class E amps are used
at VHF and microwave frequencies.
Class E amps differ
from class C amps in
that the active device is
used as a switch, rather
than being operated in
the linear portion of its transfer characteristic. Figure 2 is an
equivalent circuit for a class E amplifier.
The switch S represents the active device.
L and C are the series-tuned circuit, and R
is the load. CS represents all of the parasitic
capacitances across the active device, and
the choke isolates the power source.
Class F amplifiers resemble class E
amplifiers, but use a more complex load
network. In part, this network improves
the impedance match between the load
and the switch. Also in part, it’s designed
to eliminate the even harmonics of the
input signal so that the switching signal is
more nearly a square wave. This improves
efficiency by making the switch run at saturation
or cutoff longer.
Continued on page 2
Class G and H amplifiers are variations
on the standard class AB. They have additional
supply rails that kick in when output
signal peaks would otherwise exceed the
maximum voltage available from the class
AB amplifier’s single voltage rail.
Class G amps feature several power
rails at discrete voltage steps and switch
between them as necessary. Instead of providing
multiple rails, class H amps modulate
the voltage on the supply rails in order
to track the input signal.
Class G and H amplifiers tend to be used
in audio applications. However, a related
but almost forgotten alternative called the
Doherty amplifier has been revived for
cell-phone applications. (William Doherty
was an early Bell Labs researcher.)
A Doherty amplifier comprises a class
B “carrier” stage in parallel with a class C
“peaking” stage. In the input, half the input
signal drives one, half the other. On the
output, the signals are summed. Somewhat
like a class G or H amp, the class B amp
carries the ball most of the time, but the
class C amp cuts in on high signal peaks.
The benefit of the Doherty is an increase
in efficiency, relative to a pure class B.
VOLTAGE AND CURRENT FEEDBACK
Most low-power amplification is accomplished
using monolithic amplifier blocks,
rather than discrete transistors, and gain
is set by the ratio of feedback to input
resistance. These can be general-purpose
operational amplifiers or specialized amps
tailored to the application.
These amplifiers are partly defined by
the way feedback is accomplished: voltage
feedback (VFB) or current feedback (CFB).
Each has its tradeoffs. One significant difference
lies in the presence or absence of the
gain-bandwidth product characteristic.
In practical VFB amps, open-loop gain is
large at dc. But above a certain frequency, it
rolls off at 6 dB/octave. At some frequency,
the non-inverting open-loop gain is equal
to the closed-loop gain nominally set by the
ratio of feedback to input resistance. At that
point, the actual gain of the closed-loop
configuration is 0.707 times its dc value.
This frequency is designated the amplifier’s
-3-dB bandwidth. In a VFB, the
product of closed-loop gain and –3-dB
bandwidth is called the gain-bandwidth
product (GBWP). For a VFB amp, this is a
constant for a certain range of frequencies
(Fig. 3a). Designers must always trade off
gain for bandwidth, or vice versa.
This isn’t true for CFB amps. There,
closed-loop gain is again based on external
component values, but it is largely independent
of frequency (Fig. 3b). On the negative
side, however, CFB datasheets limit the
designer’s selection of feedback resistors.
In contrast, with a VFB op amp, the
circuit designer has greater freedom in
choosing the value of the feedback resistor
(although higher resistance values may
limit stability). VFBs also offer lower noise
and better dc performance than CFB amps.
Generally, CFB amps are chosen when
slew rate and exceptional low distortion
are needed. VFB amps excel for dc applications,
for applications requiring low input
bias current or high input impedance, and
where rail-to-rail performance is critical.
AMPLIFIER SPECS
Voltage-feedback op-amp datasheets
specify five different gains: open-loop
gain (AVOL), closed-loop gain, signal gain,
noise gain, and loop gain. Without negative
feedback, AVOL may be 160 dB or
more. When an amplifier circuit’s feedback
loop is closed, it exhibits less gain.
Loop gain is the difference between the
open-loop and closed-loop gains or the
total gain through the amplifier and back
to the input via the feedback network. It
comprises signal gain and noise gain. Signal gain is the gain experienced by an input signal. Noise gain
reflects the input offset voltage and voltage noise of the op amp at
the output. If both inputs of a differential-input amp are at 0 V,
the output also should be at 0 V.
Continued on page 3
In reality, there’s always some voltage at the output, called the
offset voltage, VOS. If the offset voltage at the output is divided
by the noise gain of the circuit, the result is called the input offset
voltage or input-referred offset voltage. VOS drifts with temperature,
and TCVOS is the temperature coefficient of that drift.
Although ideal amplifiers have infinite input impedance, and,
theoretically, no current flows into their input terminals, real amps
that use bipolar junction transistors (BJTs) in the input stage
require bias current (IB) for operation.
Total harmonic distortion (THD) reflects to the harmonically
related components of the fundamental frequency caused by
amplifier nonlinearity. Usually, only the second and third harmonics
need to be considered. THD+N (THD plus noise) accounts
for device noise.
THD and THD+N are both measurements of distortion generated
by a single-tone sine-wave input. Intermodulation distortion
(IMD) is a measurement of dynamic range produced by the
interaction of two tones. Third-order intercept point (IP3) is a
measure of the effects of third-order IMD.
The 1-dB compression point represents
the level of input signal at which the output
signal is compressed by 1 dB from an
ideal input/output transfer function. This
defines the end of an amp’s dynamic range.
Signal-to-noise ratio (SNR) also defines
the dynamic range. It is a measurement (in
dB) from the maximum signal level to the
RMS level of the noise floor.
In RF work, noise factor and noise figure
are important specs. Noise factor relates
the noise generated by the amplifier to the
thermal noise of a 50-O resistor at room
temperature. A noise factor of 2 means
the amplifier is as noisy as a 50-O resistor.
Noise figure is noise factor expressed in dB,
i.e., 10 × log10 (noise factor).
DEVICES AND MATERIALS
For instrumentation applications, audio
work, and RF up to VHF, conventional
bipolars and field-effect transistors fabricated
using conventional process technologies
are the rule. The only difference
between these processes and the ones used
for mainstream digital ICs is that the analog
parts tend to lag several generations
behind in terms of design rules. That’s
because it’s difficult to deal with system
noise with amplifier input voltage swings
below 3.5 V. On the other hand, at higher
RF frequencies, exotic materials and
advanced transistor architectures dominate. iSilicon-germanium (SiGe) is a silicon
bipolar process technology in which the
transistor bases are doped with germanium.
To illustrate the advantages of SiGe in
RF amplifiers, consider Maxim Integrated
Products’ GST-3 process, a SiGe extension
of its silicon GST-2 process. GST-3
offers an important decrease in transistor
parasitic base resistance (RBB´) and a significant
increase in ß.
In terms of noise figure, adding germanium
to the p-silicon base of a transistor
reduces the bandgap by 80 to 100 mV
across the base, creating a strong electric
field between the emitter and collector
junctions. By rapidly sweeping electrons
from the base into the collector, this electric
field reduces the transit time (tB) required
for carriers to cross the narrow base.
If all other factors are held constant, this
reduced tB provides an approximate 30%
increase in cutoff frequency (fT). Higher
fT reduces high-frequency noise because
the ß rolloff occurs at a higher frequency.
For identical-area transistors, the SiGe
device achieves a given fT with one-half to
one-third the current required in the puresilicon
device.
Maxim also notes that SiGe bipolars
also require lower supply currents and provide
higher linearity than conventional
silicon transistors. Given high production
volumes, SiGe devices are inexpensive and
nearly as good as gallium arsenide (GaAs)
in terms of noise figure and power. However,
the higher the operating frequency, the
lower the breakdown voltage, and hence
the operating voltage.
The first microwave amplifiers were
heterojunction bipolar transistor (HBT)
metal epitaxial semiconductor field-effect
transistors (MESFETs) and high electron
mobility transistor (HEMT) MOSFETs,
both built using GaAs process technologies.
MESFETs are like junction FETs,
but with a Schottky (metal-semiconductor)
junction. HBTs use different semiconductor
materials for the base and emitter.
HEMTs are more common.
Continued on page 4
In a HEMT, the objective is to make
electrons in the channel flow faster. In a
doped channel, the doping atoms in the
lattice impede the electrons. HEMTs rely
on high-mobility electrons generated at
the heterojunction. One side has a highly
doped, wide-bandgap, n-type, donor-supply
layer like aluminum gallium arsenide
(AlGaAs). The other has a non-doped narrow-
bandgap channel layer, such as GaAs.
The heterojunction between them forms
a very thin quantum well in the conduction
band on the GaAs side. The electrons can’t
escape because of the well, but they travel
very rapidly through it because there are no
dopant atoms in the GaAs lattice. The layer
they travel in is called an electron gas.
GaAs HEMTs are still made, but GaAs
pseudomorphic high electron mobility
transistor (pHEMT) and metamorphic
high electron mobility transistor
(mHEMT) devices are gaining lots of
momentum. The terms pseudomorphic
and metamorphic refer to the addition of
indium phosphide (InP). The difference
between the two lies deep in the semiconductor’s
physics, but essentially, these techniques
allow larger bandgap differences
than conventional HEMTs. Ultimately, it
gives them better performance.
Another alternative is to build indium-gallium-
arsenide (InGaAs) HEMTs on
an InP substrate. This results in very good
high-frequency performance, but the technology
hasn’t reached commercialization
because InP wafers are extremely brittle.
Those GaAs MESFETs and HEMTs
with very short gates suffer from high
output conductance due to short-channel
effects. In a silicon lateral double-diffused
MOSFET (LDMOS), the short-channel
effect isn’t present. With a positive potential
on the gate, LDMOS devices create an
inversion channel over the laterally diffused
p-well at the silicon-oxide interface. The
effective gate length may be shorter than
the physical length of the gate electrode.
Other process steps extend RF performance
and provide a high breakdown performance,
allowing for operation at high
supply voltages. LDMOS devices can also
be made on silicon carbide.
For RF amplifiers, plain old silicon still
can challenge GaAs when the right understanding
of transistor architecture is
applied (see “HVVFETs—New In Town,”
Drill Deeper 18999). In late April, a fabless
company known as HVVi Semiconductors
announced three new devices fabbed by
ON Semiconductor in pure silicon using
the company’s high-voltage vertical field-effect
transistor (HVVFET) technology
(Fig. 5).
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