EDN Access

 

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.

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 detector’s output, which is an error signal proportional to the phase difference between the detector’s 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 VCO’s 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. It’s 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.

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
 
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, DDS’s 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.


References

  1. Gardner, FM, Phase Lock Techniques, Wiley & Sons, New York, 1967.
  2. Viterbi, Andrew J, Principles of Coherent Communications, McGraw-Hill, New York, 1966.
  3. Nash, Garth, "Phase-locked loop design fundamentals," Motorola Application Note AN535, July 1993.
  4. Smith, Morris, "An improved PLL design method without lowercase omegan and lowercase zeta," Motorola Application Note AN1253, May 1995.
  5. Smith, Morris, "Offset reference PLLs for fine resolution or fast hopping," Motorola Application Note AN1277, July 1996.

Acknowledgments

Thanks to Dan Clementi of Focus Semiconductor, John Salvey of Fujitsu Microelectronics, Robert Hall of Motorola Semiconductor, and Bill Keese of National Semiconductor Co for their insight and comments.


BILL SCHWEBER, TECHNICAL EDITOR

You can reach Bill Schweber at (617) 558-4484, fax (617) 558-4470, e-mail bill.schweber@cahners.com


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