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March 14, 1997
PLL SYNTHESIZERS
make channel-hopping swift and sure
BILL SCHWEBER, TECHNICAL EDITOR
Wireless systems for cellular and PCS
applications must quickly and accurately switch channel
assignments. New PLLs minimize some of the traditional
trade-offs involved.
Some PLL
frequency synthesizers have it easier than others do.
PLLs for fixed-frequency operation, such as PC clock
generation or data-link clock recovery, have it easiest.
PLLs for channel selection in standard broadcast-band TV
or AM or FM radio have a harder time, but these PLLs have
wide channel spacings, infrequent changes, and reasonable
accuracy tolerances. Also, settling times to the new
carrier frequency can be tens or hundreds of
milliseconds.
In contrast, PLL
synthesizers for wireless applications have a much harder
time. These PLLs include models for cellular
phones--whether AMPS (Advanced Mobile Phone Service),
TDMA (time-division multiple access), CDMA (code-division
multiple access), or GSM (Global System for Mobile
Communications)--or frequency-hopping spread-spectrum
links. Channel spacings are close, tolerances are
critical in the gigahertz region in which the PLL
synthesizers operate, and channel assignments dynamically
change during an established call or link, so lock-in
performance must be quick--within milliseconds or
less--yet with minimal overshoot.
The basic problem is that
your requirements for accuracy and low noise (however you
define them in your application) fundamentally conflict
with the need for fast switching to, and locking at, the
new carrier frequency. Meeting the conflicting
requirements for these applications requires careful
PLL-synthesizer design and integration. To achieve your
goals, you can implement the PLL in a discrete design of
individual functional blocks in one IC with a few
external components or embedded within a larger system
IC.
Start with
analysis
The PLL is a relatively
old function in electronics, dating back to the 1920s and
'30s (see box, "Basics
are timeless"). You can model and mathematically
analyze the PLL in detail as a closed-loop control system
(References
1 and 2),
which is both good and bad news. Dozens of books and
hundreds of academic papers are available on every aspect
and subtlety of PLL architecture and operation, covering
common and unusual approaches, signal types, and noise.
Unfortunately, many of these analyses deal with PLLs as
abstract or theoretical functions, and they rarely show
any actual circuit schematics or the component values you
need to build these devices. In these analyses, the
authors determined the results' validity by simulation
rather than by circuitry, test equipment, and
measurement.
This fact doesn't mean
that you should skip the analysis or classical
control-system techniques (Reference 3). Bode plots illuminate the
trade-offs in phase noise, and Laplace transforms show
the dynamics of lock-in time; both can show the effect of
noise in the system.
However, you need to
produce a circuit that works. For your application, begin
by defining operating frequencies, step size (frequency
spacing between adjacent synthesized values), maximum
phase and spurious noise that you can accept, and
required time to lock when the synthesizer jumps to a new
frequency.
Build, buy, or
avoid a PLL
You can achieve the best
overall performance but at the highest cost in components
and design time, if you build a PLL from distinct
functional blocks. This approach provides you with the
most versatility in component selection, the greatest
flexibility in architecture, and the best opportunity to
manage trade-offs. You can, for example, use a VCO that
is highly linear over a wider range than you can with a
VCO that is part of a larger IC. However, your analysis
becomes complex, and you need thorough static and dynamic
specifications for each device. You then take these
specifications and build a model of the PLL design, so
you can explore the trade-offs, especially as you factor
in real-world shortcomings, nonlinearities, and noise.
As an alternative, you can use more
highly integrated PLL components that offer more
functions and greater overall system-performance
characterization, but with fewer degrees of freedom
(which is not necessarily a bad thing). Many of these
PLLs are designed with frequency range, step size, and
performance tailored to the requirements of a
communication application (Figure 1). Although these PLLs are usually
noisier than are more discrete designs, their performance
may be sufficient, and their power consumption is far
less than these other designs.
Recognize that the
integrated PLL may be incomplete, requiring a few passive
components for full operation. You almost certainly have
to add the loop filter, because integrated filters have
lower Qs than discrete passives offer. Check carefully to
see what active devices you need to add to the PLL IC, in
addition to the passive devices. Though integrated PLLs
have many of the necessary active functional blocks, they
may forgo some others, such as the VCO, which is
especially sensitive to thermal, 1/f, and power-supply
noise. These noise sources modulate the VCO's
uncorrected, open-loop frequency, and the frequencies of
the resulting disturbances may be outside the loop's
ability to correct.
Although highly integrated
ICs may not perform as well as the carefully constructed
discrete designs, they may be all you need for many
communication applications. Unlike test applications, for
example, in which improved performance in the synthesizer
block is usually desirable, communication applications
usually don't benefit from exceeding a mandated
specification.
The easiest PLL
synthesizer for you to use is one that embeds the PLL
function within a larger, usually digital, IC. This PLL
needs no external components or, at most, only a few
passive ones. Unfortunately, although such a PLL is
effective for fixed-frequency applications, such as
timing recovery or clock generation, its performance is
usually inadequate for the stringent needs of most
cellular, spread-spectrum, and similar systems. Whether
you choose to build with discrete ICs or use complete PLL
ICs, be aware of different architectures (see box, "Consult
an architect before building").
The trend toward lower
voltage and 3V operation has had a mixed impact on PLLs.
The lower power of these circuits helps reduce noise
levels and, thus, has the potential to improve
performance. However, the reduced voltage also makes
tuning the VCO over a wide range more difficult unless
you increase the loop and VCO gain. Gain increases, in
turn, increase noise and system sensitivity to VCO and
charge- pump nonlinearities and may increase phase noise.
Short lock time, another desirable feature, usually
requires increased slew and charge-pump rates, which are
harder to achieve at lower voltages; however, some of the
newer process technologies and circuit topologies have
overcome this constraint.
New parts rewrite
old rules
The PLL's traditional
performance trade-offs are under attack by high levels of
integration coupled with new processes. Consider power
consumption, which has fallen to about one-tenth of its
previous value in just a few years. For example,
Fujitsu's MB15E03L 2.5-GHz device requires just 3.2V at
2.5 mA, and you can get high-performance PLLs that
operate at 1.5V for use in pagers.
Many PLLs now offer a
sleep mode, which reduces consumption to a few
microamperes. This option is useful for equipment such as
cellular phones, in which the receive channel is always
on but the transmit channel is needed only when a call is
in process.
Vendors are also
simplifying the PLL's interface to the system processor
and reducing the size of the more integrated PLLs. They
are accomplishing these goals by incorporating serial
ports that allow direct control over key loop parameters,
such as the divide ratio, and adding synchronization
circuitry that prevents spurious PLL-output values during
transitions from one value to another.
Dual PLLs that incorporate
independent PLLs--one for the RF-tuning stage and the
other for the IF stage--are available from several
vendors. The dual devices reduce power consumption and
size by sharing a control interface as well as some other
internal functions. Although crosstalk between PLLs in a
dual device can degrade perform-ance, this problem is
much smaller in the newest ICs; their performance below
approximately 1 GHz compares to that of many single PLLs.
The LMX233x trio of dual synthesizers from National
Semiconductor Corp (with an RF PLL at 1.2, 2.0, or 2.5
GHz and a second PLL at 510 MHz) features a phase-noise
floor of 169 dBc/Hz, compared with 160 dBc/Hz for the
company's single versions.
Vendors have also
addressed the long-standing conflict between phase noise
and lock time. Dual loop-time-constant designs are not
new; they use a wider bandwidth filter during the step
period and then switch to a narrower filter to reduce
noise once they reach the final value. However, there is
more to proper operation than simply switching filters,
because you have to know when to switch filters as well
as maintain loop gain at a constant value. PLLs in the
LMX233x series automatically switch from a wideband
filter to a narrow filter after a preset time;
simultaneously, these PLLs switch the phase-detector
gain, thus maintaining the same overall loop gain and
phase margin, which eliminates switching errors.
Vendors are also looking
at ways to achieve increased integration beyond the PLL
synthesizer, yet with minimal performance compromise.
Fujitsu's Versi-Tile macro array contains PLLs, a VCO
transistor, and other analog blocks for RF and IF stages,
which let you incorporate more of the system functions in
one IC.
Fortunately, to support
the PLL's virtues and irreplaceable features, IC vendors
supplement circuitry with supporting documentation,
application notes, and real-world designs. For example,
Motorola offers application notes that look at design
analysis and architectures (Reference 4). Further, Motorola offers Excel
templates that let you set up spreadsheets for
interactive frequency planning (DK305/D) and lock-in-time
analysis (DK306/D). Fujitsu Microelectronics offers an
evaluation combination of RF boards for various PLLs, a
digital interface board, and DOS software. You can then
load and operate the PLL from the PC's parallel port via
the interface board, changing channels and measuring
lock-in times, phase noise, and current drain.
Companies other than
PLL-device vendors support analysis as well.
Hewlett-Packard EEsof Division de-signed the HP 85148A
Circuit Envelope Simulator to overcome the difficulties
of modeling PLLs. Time-domain simulators require many
steps and, thus, long simulation times for the
combination of high frequencies, long time constants, and
phase comparison of arbitrary signals; frequency-domain
simulators are ill-suited for PLL transients. The HP
software combines proprietary modeling techniques to
handle modulated and feedback signals, such as those in
PLL designs.
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| Basics are timeless |
| In
addition to multiple-channel synthesis, designers
use PLLs in a variety of applications. In some of
these applications, such as data-stream clock
extraction and retiming, the input frequency is
reasonably well-known, but you must establish a
more precise phase relationship or accurate
frequency. In other applications, such as CPU
clock generation and delay, the input frequency
is fully known, but the system must establish
frequency multiples and precise delays. Finally,
in some situations, you may know relatively
little about the input clock; this situation
occurs when the PLL is recovering a
Doppler-shifted, noisy signal from a satellite or
space probe. A PLL comprises a few
functional blocks (Figure A). The phase detector
compares an input signal to the output of a VCO
or voltage-controlled multivibrator (VCM). The
detectors output, which is an error signal
proportional to the phase difference between the
detectors two inputs, goes through a
lowpass filter (usually via a charge pump). The
PLL circuit feeds back this filtered version of
the difference to drive the VCO to correct any
misalignment between the VCOs output and
the actual input signal.
The VCO output is the signal that
other parts of the communication system use.
Although a PLL inherently locks phase, it also
tracks frequency, because frequency is the time
derivative of phase. By inserting a divide-by-N
frequency divider in the path from the VCO to the
phase detector, the circuit "tricks"
the VCO into producing an output at an
"N-times" multiple of the input
frequency.
PLL analysis (Figure
B)
begins with transfer functions and equations of
closed-loop response:

where lowercase thetae(s) is the
phase error, G(s) is the product of the
individual feed-forward transfer functions, H(s)
is the product of the individual feedback
functions, and lowercase thetai(s) is the
phase input, and

where lowercase thetao(s) is the
output phase.
The
PLL type number is the same as the number of
poles that the loop transfer function, G(s)H(s),
has at the origin; the PLL order refers to the
highest degree of the polynomial in the
loop-characteristic equation, 1+G(s)H(s)=0.
Although the analysis can become complicated, one
fact stands out: The transfer function of the
loop filter, which is usually user-supplied, is
critical and controls PLL dynamics if the other
blocks have fairly linear performance. Be
prepared to spend most of your design-trade-off
time on the filter. Its the area in which
you have the most control and flexibility as you
balance your conflicting needs; also, the cost
difference among filters is usually negligible,
so you can concentrate on performance.
|
| Consult an architect before building |
| In
addition to the phase-noise-vs-lock-time problem,
the classic PLL architecture is ill-suited to
handle both a large number of channels and a
small step, which requires the divider in the
feedback loop to have large division factors. No
need to despair, though. Clever designers have
come up with several architectural variations
that overcome this limitation. By using another divider in
the feedback loop, you can provide steps that are
smaller than the standard divider allows. The
phase noise and lockup time for this fractional-N
design are low because the design has lower
divider values, but the design may have
relatively large spurious signals in its output
at the adjacent incremental frequencies.
Designers use the swallow counter in portable
cellular designs because it provides a good
balance of performance characteristics; power
consumption is lower, and phase noise is slightly
greater than the fractional-N approach (although
the two architectures are becoming comparable
because of new processes and implementations).
In the triple-loop
approach, you use two independent PLLs, one for
coarse (offset) setting and one for fine tuning.
A third PLL combines their outputs and produces
the final output. The triple-loop PLL is
difficult to design and is subject to some
interactive dynamic difficulties, such as
latch-up. This difficulty is not surprising when
you have three linked loops, each with its own
dynamic performance parameters and timing.
A third approach
is the offset-reference design (Reference
5).
In this approach, two independent PLLs share a
reference input. The outputs of the PLLs are then
combined in a conventional mixer and filtered to
remove unwanted products. The offset-reference
design requires just two PLLs and is dynamically
more stable than the triple loop, because there
is virtually no closed-loop interaction between
the separate PLLs within the IC.
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| Manufacturers of PLLs,
synthesizers, and related components |
| When you contact any of the
following manufacturers directly, please let them
know you read about their products on EDN Access.
Note: All Web addresses start with http:// unless
otherwise noted. Vendors marked with * provide
VCOs only. |
Focus
Semiconductor Inc
Lower
Gwynedd, PA
(215) 654-9700
www.voicenet.com/~focus |
Fujitsu
Microelectronics Inc
San Jose,
CA
(408) 922-9000
www.fujitsumicro.com |
GEC
Plessey Semiconductors
Scotts
Valley, CA
(408) 438-9200
www.gpsemi.com |
Harris
Semiconductor Corp
Melbourne,
FL
(800) 441-7747
www.semi.harris.com |
Hewlett-Packard
EEsof Division
Westlake
Village, CA
(800) 452-4844
www.hp.com/go/hpeesof |
MF
Electronics*
New
Rochelle, NY
(914) 576-6570
www.mfsales@mfelec.com |
Mini-Circuits*
Brooklyn,
NY
(718) 934-4500
www.minicircuits.com |
Motorola
Semiconductor
Phoenix,
AZ
(800) 441-2447
www.mot.com/sps/general |
Murata
Electronics North America
Smyrna, GA
(800) 831-9172, ext 612
fax (404) 436-3030 |
National
Semiconductor Corp
Santa
Clara, CA
(800) 272-9959
www.national.com |
Peregrine
Semiconductor Corp
San Diego,
CA
(619) 455-0660
www.peregrine-semi.com |
Philips
Semiconductors
Sunnyvale,
CA
(800) 447-1500, ext 1332
www.semiconductors.philips.com |
Qualcomm
Inc
San Diego,
CA
(619) 587-1121
www.qualcomm.com |
Siemens
Components
Cupertino,
CA
(800) 777-4363
www.sci.siemens.com |
Z-Communications*
San Diego,
CA
(619) 621-2700
fax (619) 621-2722 |
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| Looking ahead |
| Manufacturers
will continue to integrate more PLL circuitry
onto the basic IC and optimize designs for
applications, thereby reducing your design and
analysis effort. GaAs will ease this integration,
because passive components fabricated in GaAs
have better RF performance than do their silicon
equivalents. Vendors will increasingly look at
direct-digital synthesis (DDS) as an alternative
to PLLs in select applications. In DDS, a
numerically controlled oscillator synthesizes
waveforms, based on a digitized sine wave stored
in memory. The oscillator re-creates the sine
wave when a clock steps via a counter through the
stored values. The digital words representing the
sine-wave values then pass through a D/A
converter and lowpass filter to produce the final
output. To generate different frequencies, the
controller directs the counter to skip some of
the stored values.
In addition to its
inherent compatibility with digital systems,
DDSs main virtues are the high
resolution/small step it offers (less than 1 Hz);
the nearly instantaneous time to switch to a new
frequency, independent of the difference between
the old and new values (microsecond values are
possible, limited primarily by the dynamics of
the D/A converter and filter); and its
phase-continuous slewing from the old frequency
to the new one.
However, compared
with a PLL, the DDS architecture has relatively
high spurious noise (70 to 80 dB when
you include the D/A converter) and, unless
carefully designed, requires more circuitry, and
has far greater power consumption. It can provide
frequencies only as high as approximately 100
MHz, in contrast with the gigahertz range of
PLLs, and thus requires other up-conversion
stages to reach the required bands. For
base-station synthesizers, though, in which size
and power penalties are less critical than in
handheld units, a DDS with a high-performance D/A
converter and proper output filtering is an
increasingly viable alternative to the PLL.
Finally, some conventional PLLs are using a DDS
within their loop to reduce spurs and sidebands.
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