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Low Phase Noise DAC-Based Frequency Synthesis for Fast Hopping Wideband Microwave Applications – Part 1

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by Ben Annino, Applications Director, Analog Devices, Inc.

(all figures and the table are at the end of this article)

Today’s high-speed DACs provide excellent phase noise, providing size, weight, power/performance, and cost benefits in next-generation low phase noise, fast hopping agile RF/microwave synthesizers. However, in order to implement this DAC capability, the fixed DAC sample clock must have very low SSB phase noise that is beyond the capability of mainstream wideband VCO PLLs. This article explores a method employing an analog phase detector (PD) that can improve in-loop phase noise performance by 10 dB to 20 dB compared with conventional phase/frequency detector synthesizers. To meet the most demanding phase noise system requirements, the suggested fixed clock implementation is a dielectric resonator oscillator (DRO) locked using an analog PLL. Other more conventional examples are provided employing a commercially available MMIC VCO. The benefits of a DAC-based coarse/fine mixer microwave synthesizer are explained, with block diagrams, measured phase noise results, and an application circuit provided so that the interested engineer can try this in the lab.

The aerospace & defense (ADEF) community has a justifiable obsession with phase noise. For example, radar, electronic warfare (EW), and many other applications require best-in-class phase noise performance from fast hopping frequency synthesizers and exciters. These frequency functional blocks often set critical system performance, such as radar clutter attenuation, and are used in larger frequency translation, tuner, and modulation schemes. The latest generation of high-speed DACs exhibits extremely low additive phase noise that brings the long-standing dream of simplifying agile frequency generation architectures within reach. The evolution to DAC-based frequency synthesis enables much lower size, weight, power, and cost (SWaP-C) designs replacing much larger, more expensive signal chains. However, to realize this phase noise potential, system designers cannot use just any old sampling clock source scheme. This article explains the phase noise considerations and trade-offs when implementing a sample clock for best DAC phase noise. Taking things a step further, the article considers a low phase noise approach for implementing a wideband fast hopping synthesizer in the Ku-band to Ka-band range. An application circuit block diagram and measured data are provided so that the designer can duplicate the experimental data on her bench and leverage the approach in her design.

SSB Phase Noise Implications in EW and Radar

ADEF sensing systems need to intercept small signals or returns from enemy targets that do not want to be detected, in hostile electromagnetic environments, in a time-critical manner. Instantaneous spurious-free dynamic range (SFDR) is a figure of merit that is commonly used to express how well a receive system can sense small signals in the presence of large blockers. SFDR is expressed in terms of IMD2 or IMD3 and the noise floor, which is assumed to be uniform—that is, adequately offset from any carrier phase noise shoulders so as to avoid overcomplicating the equation with frequency offset dependence. This is an acceptable assumption outside of, say, 10 MHz from the carrier. However, EW and radar applications require operation closer to the carrier, inside this 10 MHz offset region. Therefore, an important aspect, which is not explicitly captured in SFDR, is how close to the transmitted carrier dynamic range can be maintained without getting buried in the noise shoulder of the carrier. This noise shoulder is the single sideband (SSB) phase noise and is expressed as a function of frequency offset from the carrier: ℒ(f).

Whereas communications and SATCOM systems might care more about a single integrated rms jitter number that integrates the total noise in the phase noise shoulder over an offset of interest, most radar and EW designers care more about the spot SSB phase noise envelope at specific frequency offsets from the carrier. Usually, this needs to be as low as possible, especially at Doppler offsets in the 1 kHz to 1 MHz range. The challenge for the synthesizer designer is that this critical mission region is often an elevated phase noise plateau associated with the phase-locked loop (PLL) noise construct. Minimizing the noise contribution in this zone is the main objective of this article.

If there is one takeaway from this article, remember that most radar and EW systems ideally want the sample clock SSB phase noise feeding the DAC ~10 dB below the DAC additive curve, allowing the DAC to set the phase noise floor of the system—not the clock! In practice, we will see this is very difficult. This is a testament to just how excellent Analog Devices’ DAC phase noise performance has become, and how transformative the potential is for DAC-based synthesizers.

Throughout this discussion, DPLL refers generally to any integrated PLL or synthesizer chip that employs an active phase/frequency detector (PFD) and frequency divider scheme. Figure 1 shows a classical digital PFD.

APLL refers to employing a passive mixer as the phase detector (PD). To be clear, SSB phase noise suitability means something different to everyone based on specific mission requirements and application use case. Multi-octave microwave tuning, programmability, ease of use, and low SWaP-C are the modern advantages of wideband MMIC PLL-VCO synthesizers. For a broad majority of wideband tuned synthesizer applications not covered here, ADI’s integrated PLL-VCO synthesizers are the best choice. We are only considering this specific use case of a DAC fixed sample clock. For example, the descriptors used in Table 1 are meant to communicate the comparative performance as it pertains to this niche use case.

What’s Different Now?

In the past, the barrier to implementing high speed DAC-based synthesis with a real IF was the DAC’s relatively low sampling rate (that is, 100 MSPS) and low analog frequency bandwidths (that is, 250 MHz). In using older DACs, the low IF makes upconversion difficult and forces some bulky, maybe impossible, RF filters. The other option, frequency multiplying, is impractical because the high required multiplication factor (referred to as N) translates to the DAC additive phase noise ℒDAC(f) to being too high, especially at the floor. A reminder of the impact of coherent frequency translation when upconverting from F1 to F2:

Equation 1

In other words, ADI’s lower sample rate DAC additive phase noise is good, but it rides on a direct carrier frequency that is too low to practically translate to microwave ranges at low SWaP-C.

Fast forward to today, and the game has changed. The DAC sampling rate, analog bandwidth, and resulting direct real IF frequency capability has increased to multi-GHz, the additive phase noise ℒDAC(f) remains excellent, and thus we finally have a versatile building block that opens up all sorts of new options for implementing low SWaP, microwave, wideband, fast tuning frequency synthesizers.

Wideband Microwave Synthesizers Using High Speed DACs

Figure 2 is a basic depiction of the DAC-based synthesizer we refer to herein. Each of the functional blocks contributes to overall phase noise a bit differently at different offsets from the carrier. The central point to this discussion is how to design each block so that the excellent DAC additive (also called residual) phase noise capability ℒDAC(f) sets the system phase noise. We are going to find out this isn’t trivial.

  • DAC(f) additive phase noise consists of multiple contributors, such as device 1/f noise and implementation techniques like shuffle mode. Power supply phase noise degradation is a notorious bogeyman, and careful low noise LDO implementation is critical.
  • The reference oscillator FREF is the system phase reference signal to which the synthesizer will be locked, and is often in the 100 MHz range. ℒREF(f) is an absolute source phase noise that sets the synthesizer phase noise at the closest offsets, usually <1 kHz. Balancing the reference phase noise performance and frequency with SWaP-C is an important system trade-off; if the reference phase noise is not adequate, recovering phase noise downstream is somewhere between impossible and very painful. Don’t cut corners on the reference clock.
  • The fixed frequency block is where the phase-locked loop (PLL) is located that locks a local RF voltage controlled source (RF source) to the frequency reference. Selection of the RF source absolute phase noise ℒRFsource(f) is another trade-off weighed against SWaP-C that sets the far offset phase noise where the shoulder meets the noise floor. The PLL technique is an additive phase noise contributor ℒPLL(f) that determines the phase noise at the critical mid-offset plateau (commonly 1 kHz to 1 MHz). The PLL active loop filter uses an op amp with a noise contribution that is important to consider and is lumped into this category. This mid-offset SSB phase noise region has the biggest impact to ℒRFDAC(f) and often makes or breaks synthesizer mission suitability. The first section of this discussion focuses on minimizing the sample clock phase noise ℒCLKDAC(f) to allow the DAC phase noise ℒDAC(f) to dominate ℒRFDAC(f).
  • The tuned generator block is an additive phase noise contributor ℒgen(f) that mixes the DAC RF output with a set of fixed frequencies with absolute phase noise ℒcoarse(f) to upconvert to a wideband agile RF output. The second section of this discussion focuses on techniques to minimize phase noise ℒout(f) and spurs once you have your DAC output and need to translate it to higher microwave bands.

To summarize the important phase noise relations in Figure 2, Figure 3, and Figure 4:

The critical objective is for ℒDAC(f) to set ℒRFDAC(f), with as minimal contribution as possible from ℒCLKDAC(f).

out(f < 1 kHz) is ℒREF(f < 1 kHz) + 20LogN (N = Final/reference frequency ratio).

CLKDAC(f > 1 kHz) is highly dependent on how we choose to implement ℒRFsource(f) and ℒPLL(f). ℒREF(f) noise floor will play a role here too.

out (f > 1 kHz) depends on above, plus how we choose to upconvert ℒRFDAC (f > 1 kHz). A method is recommended using ℒcoarse (f < 1 kHz).

New DAC Advantages, New Clocking Challenges

A colleague of mine cites conservation of grief as a natural law when traditional signal chains are revamped in favor of lower SWaP-C advancements. The law applies here as we need only a fraction of the old SWaP-C to do the DAC-based tuned generator functional block (grief decrease), but the fixed frequency source gets more nuanced (grief increase). Because the additive phase noise of the DAC is so low (a good thing—that is, the reason for this article), and because the sample clock is now pretty high at 12 GSPS (also a good thing that allows a real IF that can be reasonably filtered), the SSB phase noise required of the sample clock source forces us to consider more complex clock source solutions. In other words, using a MMIC VCO-PLL is not good enough to realize the DAC additive phase noise potential.

Let’s first consider the interplay of the reference oscillator, fixed frequency block, and DAC in Figure 2. The fixed frequency block consists of an RF voltage controlled oscillator (VCO) in a phase-locked loop that locks the RF source to the reference oscillator. The phase-locked loop consists of a frequency divider or translator, PFD, and active loop filter employing an op amp.

Three different implementation examples are are shown in Table 1 and compared in the discussion henceforth.

What’s Old is New Again

Analog phase detectors are older than dirt and are the grandfathers of modern-day integrated active phase/frequency detector (PFD) synthesizers. They’ve been rendered obsolete in the vast majority of modern wideband synthesizer applications, and rightfully so given the advances in integrated synthesizer ICs. Analog PDs are a poor choice when a wideband tuned VCO-PLL is required at the best SWaP-C. So why choose an analog PD in this DAC clock use case? This has to do with the superior additive phase noise of the passive analog PD. The PD compares two input frequencies and outputs a beat signal that represents the phase difference. When the comparison frequencies are in quadrature, or locked, the PD outputs to a 0 V DC signal. In integer-N and fractional-N synthesizers employing active PFDs, the maximum frequency at which the two compared input signals may operate is often around 100 MHz to 500 MHz. Synthesizer/PFDs like the HMC698 family can operate the PFD input as high as 1.3 GHz, which is beneficial to phase noise, at the expense of higher DC power. What’s most important is the active PFD contributes additive 1/f noise itself, and is highly dependent on the implementation—that is, not all are created equal. Hence the selection of the HMC440 in the example herein, which exhibits very low PFD 1/f noise. The rule of thumb to operate the PD at the highest frequency possible reduces the theoretical 20LogN increase of this in-loop additive PD phase noise plateau when translating the in-loop PD frequency to the RF output frequency. Translation loops like the ADF4401A exist to allow this highest possible PFD frequency while avoiding the noise from active frequency dividers.

For example, let’s consider a phase-locked 10 GHz RF output signal using a PFD with additive noise of –153 dBc/Hz. To simplify things, we will assume the PFD is the dominant in-loop noise contributor (not always true). Running the PFD at 10 MHz will get in-band phase noise (that is, the plateau) of:

Equation 2

For the same exact scenario, let’s run the PFD frequency 10× higher at 100 MHz instead. The in-loop phase noise improves to:

Equation 3

The 20 dB benefit is enormous. Always clock your PFD as high as possible. There are a couple of advantages in using an analog mixer-based PD:

  • The passive mixer additive noise is very low, such that it can often be ignored. The op amp active loop filter noise emerges as the in-loop limiting noise contributor.
  • The comparison frequency can be as high as needed, often multiple GHz, which is balanced against the residual noise of in-loop components. Generally, the higher the frequency, the smaller the available selection of adequately low residual noise RF amplifiers.

In summary, the optimal passive PD frequency is high enough so that the PD and in-band frequency divider additive noise is below the absolute phase noise of the multiplied up reference oscillator, but not too high such that RF amplifier residual noise degrades performance. Several RF amplifiers are required.

RF amplifier residual phase noise is a topic on its own. Process technology, as well as node and circuit architecture are big factors. Generally speaking, Si BJT offers the best performance, but is limited in frequency range (<1 GHz). GaAs HBT is the next best with parts generally available up through Ku-band (for example, ADL8150, HMC606LC5, HMC3653, and HMC3587).

pHEMT amplifiers are widely available at high frequencies, but should be met with caution as residual phase noise varies widely. In general, pHEMT phase noise is not great and can exhibit temperature variation.

Figure 7 through Figure 10 illustrate the resulting DAC output signal phase noise ℒRFDAC(f) for the three clock implementation scenarios outlined in Table 1. Measured phase noise numbers are shown in Figure 18 through Figure 20 (found in part two of this article). Figure 7 shows that a high performance DRO RF oscillator and analog phase-locked loop (DRO APLL) nudges against the DAC residual noise in a narrow region but can largely be considered “invisible” beneath the DAC noise. This offers much better performance than the traditional MMIC VCO DPLL sample clock in Figure 8, which dominates over a very wide offset range, wasting DAC phase noise capability, albeit offering the best SWaP-C and ease of use. The best balance of SWaP-C and performance might be the MMIC VCO APLL in Figure 9, which maintains DAC phase noise capability over a good stretch of critical offsets, but degrades performance toward the higher offsets due to the inferior MMIC VCO phase noise vs. the DRO. Figure 10 shows the composite overlay of the clock source options relative to the DAC additive phase noise.

It should be noted that even among DROs, SSB phase noise varies widely. The option used here is a small SWaP-C DRO about the size of a marble. Higher performance DROs exist which could push the curve completely beneath the DAC residual noise. However, there is a direct correlation between DRO phase noise level and SWaP-C—that is, the solution will be much larger than a marble and could be thousands of dollars just for the DRO component!

In Part 2 of this article series, we’ll carry these concepts forward and cover a microwave synthesizer implementation in detail.

References

Acar, Erkan. “The Path to Lowest Phase Noise: A Fully Integrated Translation Loop.” Microwave Journal.

Annino, Benjamin. “SFDR Considerations in Multi-Octave Wideband Digital Receivers.” Analog Dialogue, Vol. 55, No. 1, January 2021.

Collins, Ian. “Phase-Locked Loop (PLL) Fundamentals.” Analog Dialogue, Vol. 52, No. 3, July 2018.

Collins, Ian and Mailloux, David. “Revolution and Evolution in Frequency Synthesis: How PLL/VCO Technology Has Increased Performance, Decreased Size, and Simplified Design Cycle.” Analog Devices, Inc., January 2020.

Delos, Peter and Liner, Jarrett. “Improved DAC Phase Noise Measurements Enable Ultralow Phase Noise DDS Applications.” Analog Dialogue, Vol. 51, No. 3, August 2017.

About the Author

Ben Annino

Ben Annino is applications director for the Aerospace and Defense Business Unit at Analog Devices. He joined Hittite Microwave in 2011 before transitioning to Analog Devices in 2014. Prior to that, he worked at Raytheon on various radar technologies. He has a B.S.E.E. from Dartmouth College, an M.S.E.E. from University of Massachusetts-Lowell, and an M.B.A. from University of Massachusetts-Amherst. He can be reached at ben.annino@analog.com.

Table 1: DAC Clock Source Options Under Consideration
Figure 1: A classical digital phase/frequency detector (PFD)
Figure 2: A block diagram of DAC-based wideband frequency synthesis and phase noise contributors
Figure 3: Phase noise contributors to the overall DAC clock source phase noise
Figure 4: The reason you need a lower phase noise sampling clock
Figure 5: Simplified block diagram of analog PLL (APLL)
Figure 6: Simplified block diagram of digital PLL (DPLL)
Figure 7: DAC RF output SSB phase noise using DRO locked with analog PD
Figure 8: DAC RF output SSB phase noise using MMIC VCO locked with active PFD
Figure 9: DAC RF output SSB phase noise using MMIC VCO locked with analog PD
Figure 10: DAC RF output SSB phase noise comparison of three approaches
Figure 11: Recommended DAC-based coarse/fine mixer synthesizer using analog PD source

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