[Engineering Essentials]
Make Your Next Design As Solid As A Rock
Crystal oscillators sustain the heartbeat of virtually all electronic products.
Louis E. Frenzel
ED Online ID #18164
February 28, 2008
Copyright © 2006 Penton Media, Inc., All rights reserved. Printing of this document is for personal use only.
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Just as most electronic products today contain at least one
embedded controller, most also have at least one crystal
oscillator. In fact, some multiprotocol networking and telecom
equipment can contain 10 or more different crystals.
A crystal oscillator usually sets the processor clock frequency
and operational frequencies of networking speed
or wireless channels. Crystals provide the accurate timing
required by most modern products, in addition to the precision
demanded by the FCC in setting operational wireless and
networking frequencies.
When designing your products, you can opt to make your
own crystal oscillator or design in one of the many available
pre-packaged crystal oscillators. In some cases, all you do is
connect the appropriate crystal (plus two capacitors) to the
processor or other chip, which has the oscillator circuitry built
in. Other cases require a separate oscillator.
In these instances, investing the development time and
money in designing and building your own crystal oscillator
no longer makes economic or time-to-market sense. Electronic
design today is more about putting together components and
chips to form a system rather than creating detailed circuits.
Now, crystal oscillators have evolved into an off-the-shelf subsystem
component.
THE MAGIC CRYSTAL
Crystal oscillators are virtually mandatory in more complex
modern electronic products. Made of pure quartz, these thin
slivers vibrate at a precise and very stable frequency. Their
ability to be set to almost any desired frequency and maintain
that frequency over a wide range of temperature and
voltage variations makes them inordinately better than any
RC or LC oscillator.
Quartz is a crystalline structure found in nature and the second
most common material found in the earth’s surface next to
feldspar. Its chemical composition is silicon dioxide (SiO2), but
its piezoelectric characteristics make it special.
Piezoelectricity is a material’s ability to generate a voltage
when stressed mechanically or to vibrate at a precise frequency
if excited by a voltage. This latter characteristic makes quartz
the frequency-determining component of choice for most
applications.
While quartz crystals are readily found in nature, they can be
synthesized. Pure quartz crystal is formed by melting a mined
material called lasca in an autoclave and using a seed crystal.
Such crystals are then cut into slivers and ground to the desired
thickness that sets the frequency of operation.
The geometry and angle of the slice cut from the crystal
determines its stability and other characteristics. Different cuts
are referred to by designations such as AT, SC, and X cuts. Two
plates of silver are deposited on opposite faces of the crystal,
and mounting leads are attached to them. The completed
assembly is mounted in an enclosure, usually metal.
The crystal itself looks like a series resonant circuit with
equivalent inductive, capacitive, and resistive components (Fig.
1a). Placing the crystal in a holder produces a parallel capacitance,
with the crystal serving as the dielectric between the two
holding plates. This combination produces a unique circuit
with both series and parallel resonances (Fig. 1b).
A crystal may be operated in either its series or parallel or
anti-resonant modes, depending on the oscillator circuit used.
The parallel mode is usually avoided because it’s less stable.
However, the frequency range between the series and parallel
resonant points is commonly used. This area is known as the
parallel mode range.
When operating in the parallel mode, the external capacitance
across the crystal will determine the operating frequency.
Called the load capacitance, this reactance is any stray or distributed
capacitance on the printed-circuit board (PCB) and in
the oscillator circuit. Usually in the 3- to 20-pF range, it must
be specified when ordering a crystal to be used in a parallelmode
circuit.
You can also add a series or parallel
capacitor to a crystal to “pull” its resonant
frequency over a narrow range. This feature
permits minor adjustments to the frequency,
as well as the ability to produce a
variable-frequency crystal oscillator for use
in phase-locked loops (PLLs).
Most crystals also oscillate at higher
overtone frequencies. The third and fifth
overtones are the most common. An overtone
is an approximate third, fifth, or other
odd multiple of the primary resonant
frequency. A harmonic of a fundamental
frequency is an exact multiple, while the
overtone is a close but not exact multiple.
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Since the fundamental oscillating frequency
of a typical crystal is limited to
about 30 to 50 MHz maximum, the overtone
mode of oscillation is one way to
achieve crystal precision and stability at
higher frequencies. When specifying an
overtone crystal, it’s important to stress the
exact frequency needed so that the manufacturer
can produce the appropriate fundamental
frequency in the crystal.
Designers should consider 10 key specifications
when comparing and selecting
crystal oscillators.
Frequency of operation: Crystal oscillators
come in a frequency range of approximately
1 to 70 MHz. Special lower-frequency
crystals like the popular 32.768-kHz
watch crystal are also available. The physical
thinness of the crystal limits the upper
frequency range. That limit has gone from
about 30 MHz in past years to about 200
MHz, thanks to the development of new
manufacturing techniques like the inverted
Mesa. The operating frequency is usually
stated at a temperature of 25°C.
Higher-frequency oscillators can be
obtained by using overtone crystals that
take the output to over 200 MHz. In
addition, oscillators with built-in PLL
frequency multipliers can reach frequencies
beyond 1 GHz. When UHF and
microwave frequencies are required, the
surface-acoustic wave (SAW) oscillator is
an option.
Frequency accuracy: Also known as frequency
tolerance, frequency accuracy
measures how close the crystal frequency
is to the desired value as determined by
the application. It’s often expressed as a
percentage deviation from the specified
frequency or in parts per million (ppm).
For example, an accuracy of ±100 ppm of
a 10-MHz crystal oscillator means that
the actual frequency could deviate from 10
MHz by ±1000 Hz:
(100/1,000,000) × 10,000,000 =
1000 Hz
This is the same as 1000/10,000,000
= 0.0001 = 10-4 or 0.01%. Typical oscillator
accuracies range from 1 to 1000 ppm,
stated at an initial temperature of 25°C.
Very high-accuracy crystals are specified in
part per billion (ppb).
Frequency stability: This measures how
much the frequency deviates from the
desired value over a specific temperature
range, like 0°C to 70°C and –40°C to 85°C.
The stability is also stated in ppm and varies
widely depending on the oscillator type
from 10 to 1000 ppm (Fig. 2).
Aging: Aging is the change in frequency
over a long period of time, usually measured
in weeks, months, or years. It’s independent
of temperature, oscillator voltage,
and other conditions. Most aging frequency
change occurs in the first several weeks
after the oscillator is turned on. It can be
as much as 5 to 10 ppm. After that initial
period, the aging frequency change flattens
out to a few ppm.
Output: Crystal oscillators are available
with different types of output signals.
Most are pulse or logic levels, but additionally,
there are sine-wave and clipped-sine
outputs. Some common digital outputs
include TTL, HCMOS, ECL, PECL,
CML, and LVDS.
Most digital outputs have a 40%/60%
duty cycle, but a 45%/55% output is attainable
in some models. A tri-state output
may also be available in some models.
The maximum load is also specified and
is usually given as a fan-out number or as a
capacitance in picofarads.
Operating voltage: Most crystal oscillators
operate from 5 V dc. But newer designs
offer 1.8-, 2.5-, and 3.3-V operation.
Start time: This is the amount of time
that the output takes to be stabilized after
power turn-on. In some devices, an enable
pin is available to switch the oscillator output
off and on.
Phase noise: Phase noise is a critical specification
at very high frequencies and in
applications requiring exceptional stability.
This is the rapid short-term random variation
in output frequency. Also called jitter,
it produces a type of phase or frequency
modulation. Measured in the frequency
domain with a spectrum analyzer, phase
noise is usually stated in terms of dBc/Hz.
A sine-wave output from an oscillator
with no phase noise, called the carrier,
would be shown as a single vertical straight
line at the frequency of operation. The
phase noise produces sidebands above and
below the carrier. The amount of phase
noise is expressed as the ratio of the sideband
power amplitude (Ps) to the carrier
power amplitude (Pc) in decibel form:
phase noise in dBc = 10 log (Ps/Pc)
Phase noise is measured at increments
from the carrier of 10 kHz or 100 kHz,
though other frequency increments down
to 10 or 100 Hz are also used. The phase
noise measurements are commonly normalized
to a 1-Hz equivalent bandwidth.
Typical phase noise values range from –80
to –160 dBc, depending on the frequency
increment from the carrier.
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Pullability: This is a measure of the
amount of frequency variation that can
be achieved by applying an external control
voltage to a voltage-controlled crystal
oscillator (VCXO). It represents the
maximum deviation possible and is usually
expressed in ppm. The control-voltage level
is also given, and a linearity value in percent
is sometimes provided. Typical dc controlvoltage
values fall in the 0- to 5-V range.
The linearity of the frequency variation
with the control voltage may be an issue.
Packaging: There are many different
types of crystal oscillator packages. In the
past, metal can packages were the most
common, but they’ve been overtaken by
newer surface-mount (SMD) packages.
Designated as HC-45, HC-49, HC-50,
or HC-51, the metal packages commonly
have standard DIP through-hole
pins. A common SMD package size is
5 by 7 mm. The trend has been to make
the packages thinner as demanded by
cell-phone manufacturers.
COMMON OSCILLATOR CIRCUITS
Dozens of circuits have been developed for
crystals. Most are variations of the common
Colpitts, Pierce, and Clapp varieties.
The circuit determines whether the crystal
operates in its series or parallel mode.
In series-mode oscillators, one of the
two logic inverters is biased into the linear
region for amplification by R1 (Fig. 3).
C1 is a dc blocking capacitor. R2 sets the
optimum crystal drive current. The crystal
operates in the series mode. This type
of oscillator isn’t widely used because it’s
less stable than one that operates in the
parallel mode.
For example, Pierce oscillators are commonly
used inside embedded controllers
(Fig. 4). The crystal along with C1 and C2
are external to the processor. Again, R1
biases the inverter into the linear region.
Capacitors C1 and C2 provide the necessary
180° phase shift along with the crystal.
The frequency of oscillation is higher
than the series resonant frequency, but
lower than the parallel resonance figure of
the crystal. Capacitors C1 and C2 do affect
the frequency of oscillation. The series
combination of C1 and C2 plus the external
stray capacitance (CS ) of the PCB in
parallel with the crystal form what is called
the load capacitance:
CL = (C1C2 )/(C1 + C2) + CS
C1 and C2 are normally equal and fall in
the 10- to 30-pF range. Stray capacitance
is typically 2 to 5 pF. The crystal manufacturer
will require you to specify this load
capacitance for the desired frequency.
TYPES OF CRYSTAL OSCILLATORS
There are four basic types of packaged
crystal oscillators: clock oscillators (XOs),
voltage-controlled crystal oscillators
(VCXOs), emperature-compensated crystal
oscillators (TCXOs), and oven-controlled
crystal oscillators (OCXOs).
The base XO is a crystal packaged
with its oscillator. The frequency is usually
fixed, but in some designs a trimmer
capacitor may be provided to make adjustments
for aging. XOs are for the least
critical designs, usually as clock oscillators
for processors or other digital chips.
Typical accuracies range from 10 ppm to
several hundred, with aging from ±1 to ±5
ppm/year (Fig. 5).
TCXOs incorporate circuitry to compensate
for the frequency variations that
accompany temperature variations. This
results in a far more precise and stable output
frequency that’s demanded by many
applications. Cell phones and two-way
radios are common examples.
The simplest form uses a thermistor
temperature sensor in a circuit that operates
a varactor (voltage variable capacitor)
in a feedback circuit to keep the
crystal frequency more constant. More
elaborate schemes.
For instance, microprocessor-controlled crystal oscillators
(MCXOs) use an embedded controller to process the temperature
input according to a desired algorithm to operate
a “pull”
varactor from a digital-to-analog converter (DAC).
Oscillator frequencies are available from about 1 to 60 MHz.
Typical
stability specifications range from ±0.2 to ±2.5 ppm,
with aging rates of ±0.5 to ±2 ppm/year.
VCXOs are XOs optimized for external frequency control
by way of a dc input, which varies an
internal varactor pulling capacitor to provide
a narrow range of output frequency
adjustment. They are designed primarily
for use as the VCO in a narrowband
phase-locked loop (PLL).
Commonly available frequencies range
from 1 to 60 MHz. Typical pullability
ranges from ±10 to ±2000 ppm. Aging rate
is commonly ±1 to ±5 ppm/year. A temperature-
compensated version of this called a
VCTCXO or some variation thereof is
also available.
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Silicon Labs offers XOs and VCXOs
that use an internal multiplier PLL with
a DSP filter for outputs in the 10-MHz
to 1.4-GHz range (Fig. 6). The Si530 and
Si550 are programmed by the manufacturer,
while the Si570 is user programmable
via an I2C bus. Stability options
are from ±20 to ±200 ppm. The surfacemount
package measures 5 by 7 mm.
OCXOs put the crystal and sometimes
the whole oscillator circuit in a small
oven. A dc heating element in a feedback
loop keeps the temperature virtually constant
for very precise and stable output
frequency. They are the best choice for
critical applications like cellular basestations,
telecom, local-area and wide-area
networks (e.g., Sonet), and GPS.
Yet they draw much more power, with 1
to 3 W typical. The typical stability figure
is ±1 × 10-8. A typical aging rate is from
about ±0.2 ppm/year to ±2.0 × 10-8/year.
Even improved accuracy and stability can
be obtained with an OCXO that encloses
one OCXO inside a second oven.
The type of oscillator you need depends
specifically upon your application (see the
table). David Meaney, engineering sales
manager for Fox Electronics, says the
highest crystal oscillator volume lies in
cell phones and consumer products, followed
closely by networking and computer-
related applications. It’s essential to
work closely with the crystal oscillator
manufacturer to ensure you get exactly
what you want and need.
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