Phase-locked loop design through the decades - Part 1 -

Phase-locked loop design through the decades – Part 1

PLLs (phase-locked loops) are among the most commontypes of analog/mixed-signal circuits on today’sSOC (system-on-chip) ICs. PLLs are essential companionsto the digital-logic circuits and processorson these chips.

Today’s SOCs are likely to integratemany types of PLLs. Like the digital circuits on theseSOCs, the continual advances in process technologybenefit analog/mixed-signal circuits. Clever designers havemade many contributions that have increased the performance ofanalog/mixed-signal circuits, and PLLs in particular, beyond whatyou would expect from simple scaling.

The advances in process technologyand circuit techniques have allowedPLLs to become smaller and consumefar less power per megahertz of outputfrequency and to achieve better performancethan that of PLLs of decadespast. The advances have made possibleapplications for PLLs, includingSERDES (serializer/deserializer) circuitsand RF integration.

A bit of history

PLLs date back to the 1920s, but theirpopularity and applications took off withthe introduction of the monolithic PLL.The 4046 CMOS Micropower PLL,which RCA introducedin the 1970s, is one of the early PLLICs. These ICs found use in many applications,including frequency synthesis,FM demodulation and modulation,voltage-to-frequency conversion, anddata synchronization. The 4046 integratedtwo types of phase detectors—a linear mixer and an edge-triggeredphase/frequency detector—with a VCO(voltage-controlled oscillator) and anoutput buffer that allowed designers touse the tuning voltage for demodulation applications.

By adding an externaldivider, you could configure the circuitas a frequency synthesizer, with a rangefrom tens of kilohertz to slightly morethan 1 MHz and a power dissipation oftens of microwatts to 1 mW. Designershad to add an external loop filter, butthat requirement provided flexibility insetting the loop dynamics.

Fast-forward to today. The mostcommon type of PLL for SOC applicationsis the frequency-multiplying PLL.This type of PLL generates a high-frequencyclock from a low-frequency crystalor another reference. Applicationsfor frequency-multiplying PLLs arewidespread and include logic clockingand RF local-oscillator synthesis. It iscommon for a modern SOC to containfive to 10 of these PLLs.

It is interesting to compare a modernSOC multiplying PLL with one using the4046 chip, an external feedback divider,and the external loop-filter components(Figure 1 ). The 4046-based circuit wouldconsume several hundred square millimetersof PCB (printed-circuit-board)area, whereas this SOC PLL has an area ofapproximately 0.07 mm2 —roughly 2000times smaller. These fully integrated PLLsalso include more features. The typicaloutput frequency is 2 GHz, or about 2000times larger, and the power dissipation issimilar. The modern circuit also offerspower consumption that is approximately2000-times better in terms of watts permegahertz.

Most of the advances in frequency,power per megahertz, and area are duesimply to advances in process technologyand would not be surprisingto anyone familiar with Moore’s Law.The SOC PLL in Figure 1 integratesmore than 25,000 transistors, whereasthe 4046 chip used roughly 5.6 mm2 for its 150 components (Reference 1).The ability to integrate many moretransistors has enabled analog/mixed-signal-circuit designers to exercise theircreativity and increase their designs’performance.

Advances in resolution

Most frequency-synthesis PLLs incorporatea predivider (÷N) and postdividers(÷P), plus a feedback divider (÷M),generating a frequency of FIN ×M/(N×P).The resolution in output frequency isFIN /(N×P). Making these dividers largeryields finer resolution. However, thisimprovement comes at a cost in otherimportant performance parameters.

As N increases, the PLL comparisonfrequency decreases, and PLL bandwidth must decrease proportionally. A decreasein bandwidth increases the lock timeand PLL area—because the loop filtermust grow—and the long-term jitter getsworse. Increasing P requires the VCO torun P times faster. A P value of two tofour is common for many applications.For large P values, however, the requiredVCO frequency could exceed the processlimitations.

Additionally, the power inthe VCO and dividers scales with theVCO frequency. So, using the postdividerto achieve fine frequency resolution hasserious drawbacks, as well. One way toavoid these trade-offs is to use a nonintegerdivide value for one of the dividers;fractional-N PLLs employ this approach.

You can achieve a fractional dividervalue of, for example, 10.25 by the followingset of divider values: 10, 10, 10,11, 10, 10, 10, 11, and so on. You canimplement such a variable-ratio dividerwith a simple accumulator (Figure 2 andReference 2). Next, you must decidewhich of the three dividers should befractional. The first choice—the postdivider—has the problem of transferringthe noise or jitter of the divider modulationdirectly to the output—usually,an unacceptable situation. Assumingthat the PLL holds the VCO frequencysteady, the output period would vary bya whole VCO period. To minimize jitter,the VCO would need a small period, correspondingto a high frequency.

The predivider and postdivider arebetter choices for modulation because,in these configurations, the PLL actsas a lowpass filter on the noise or jitter associated with modulating the feedbackdivider. The following equationrelates the VCO frequency and the referencefrequency: FVCO =FREF ×M/N. Formost practical PLLs, the value of M islarger than that of N, meaning that theVCO period is smaller than the referenceperiod. So, dithering the feedbackdivider has a smaller effect than ditheringthe reference divider by the ratio ofM/N, making this choice the most commonone. Circuits of this type, usingmultiple ICs, began to appear in the late1970s and early 1980s.

In the example of the sequence forgenerating a divider value of 10.25, thedivide pattern repeats every four cycles.This approach generates a noise toneat FREF /4. If you use the same methodto generate an effective value of 10.01,then a tone would appear at FREF /100.The spectral tone is problematic formany systems that would like to takeadvantage of the fine frequency resolutionthat fractional-N PLLs provide.If this noise tone falls to a frequencybelow the PLL’s bandwidth, considerablelong-term jitter, unacceptable inmany applications, can result.

A breakthrough in the evolution ofthe fractional-N PLL was the applicationin 1993 of delta-sigma modulationto the dithering of the feedbackdivider (Figure 2 and Reference 3).The delta-sigma-modulation noise-shapingtechnique can push dithering noise to high frequencies, at whichthe PLL can easily filter it. Using thistechnique, designers have created PLLswith nearly undetectable fractional spurtones. Integrated fractional-N PLLs stillfall short of the performance of similarinteger-N PLLs, however, because of thelow bandwidth necessary to filter thedithering noise. With lower bandwidth,the PLL is less able to suppress the phasenoise of the VCO.

The dithering noise from the delta-sigma modulator is a pseudorandompattern. A recent refinement inintegrated PLLs cancels this noise byapplying a correction directly to theloop filter. Industry literature reportsimprovements of 10 to 20 dB, allowingdesigners to increase the bandwidth offractional-N PLLs, with benefits in circuitarea, phase noise, and jitter. In thisway, the performance of fractional-NPLLs can approach that of integer-NPLLs. The SOC PLL in Figure 1 takesadvantage of Moore’s Law to integrate a24-bit modulator, allowing the outputfrequencyincrement to be 0.06 ppm orsmaller—an extremely fine resolution.

Advances in PLL quality

Tracking PLL design through the decades figure 3Beginning in the early ’90s, IC designersbegan to incorporate passive inductorsinto ICs fabricated in generic CMOS-logicprocesses (Reference 4). Theinductors have lower Q (quality) factorsthan do discrete components or similar inductors in an IC process tailored for RF.For decades, ICs have included capacitorsin many forms, including gate-oxide,polysilicon-to-polysilicon, and metal-to-metal devices. The use of integratedinductors along with capacitors to formcompletely integrated LC (inductor/capacitor) VCOs greatly boosts performance(Figure 3 ). For a given fixedpower level, LC VCOs typically outperformring oscillators by 20 dB.

The LC-oscillator circuit predates ICtechnology. However, the integrationof LC oscillators had been problematicuntil only the last 10 to 15 years.The first problem had to do with theinductor itself. In process nodes largerthan 0.25 microns, it was uncommonto have more than three metal layers,and the typical interconnect metal wasaluminum.

Inductors in this process had relatively high series resistance,resulting in a low Q factor. The limitednumber of metal layers also meant thatthe inductor was physically close to thesilicon surface. This situation in turnmeant that these inductors had significantparasitic capacitance and hence alow self-resonant frequency.

To read Part 2 in this series, go toCurrent, future work.

  1. CD4046B Types: CMOS MicropowerPhase-Locked Loop,” Texas Instruments,July 2003.
  2. Norsworthy, Steven R; Richard Schreier;and Gabor C Temes, editors, Delta-Sigma Data Converters: Theory, Design,and Simulation, John Wiley & Sons, IEEEPress, 1997, ISBN: 0-7803-1045-4.
  3. Riley, Tom AD; MA Copeland; and TAKwasniewski, “Delta-sigma modulationin fractional-N frequency synthesis,”IEEE Journal of Solid-State Circuits,Volume 28, No. 5, May 1993, pg 553.
  4. Nguyen, Nhat M, and RG Meyer,“A 1.8-GHz monolithic LC voltagecontrolledoscillator,” IEEE Journalof Solid-State Circuits, Volume 27, No.3, March 1992, pg 444.
  5. Ransijn, H, and P O’Connor, “A PLL-based2.5-Gb/s GaAs clock and dataregenerator IC,” IEEE Journal of Solid-State Circuits, Volume 26, No. 10,October 1991, pg 1345.

Jeff Galloway is a principal and cofounder of Silicon Creations, LLC . He received is technical education Georgia Institute of Technology (BSEE) and Stanford University (MSEE) and previously worked as design enginner on a variety PLL, CDR, SERDES, ADC designs in CMOS, BiCMOS and bipolar technolgies.

Andrew Cole is VP Engineering at Silicon Creations and has previous IC design experience at Foveon, Virtual Silicon, and Philips Semiconductor and has extensive experience in the design of amage sensors, displays, analog, mixed signal IC and SOC development.

This article has also been published on the EDN Network.

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