Digital enhancement techniques for fractional-N frequency synthesizers

Meeting the demand for unprecedented connectivity in the era of internet-of-things (IoT) requires extremely energy efficient operation of IoT nodes to extend battery life. Managing the data traffic generated by trillions of such nodes also puts severe energy constraints on the data centers. Clock generators that are essential elements in these systems consume significant power and therefore must be optimized for low power and high performance. The focus of this thesis is on improving the energy efficiency of frequency synthesizers and clocking modules by exploring design techniques at both the architectural and circuit levels. In the first part of this work, a digital fractional-N phase locked loop (FNPLL) that employs a high resolution time-to-digital converter (TDC) and a truly ΔΣ fractional divider to achieve low in-band noise with a wide bandwidth is presented. The fractional divider employs a digital-to-time converter (DTC) to cancel out ΔΣ quantization noise in time domain, thus alleviating TDC dynamic range requirements. The proposed digital architecture adopts a narrow range low-power time-amplifier based TDC (TA-TDC) to achieve sub 1ps resolution. Fabricated in 65nm CMOS process, the prototype PLL achieves better than -106dBc/Hz in-band noise and 3MHz PLL bandwidth at 4.5GHz output frequency using 50MHz reference. The PLL achieves excellent jitter performance of 490fsrms, while consumes only 3.7mW. This translates to the best reported jitter-power figure-of-merit (FoM) of -240.5dB among previously reported FNPLLs. Phase noise performance of ring oscillator based digital FNPLLs is severely compromised by conflicting bandwidth requirements to simultaneously suppress oscillator phase and quantization noise introduced by the TDC, ΔΣ fractional divider, and digital-to-analog converter (DAC). As a consequence, their FoM that quantifies the power-jitter tradeoff is at least 25dB worse than their LC-oscillator based FNPLL counterparts. In the second part of this thesis, we seek to close this performance gap by extending PLL bandwidth using quantization noise cancellation techniques and by employing a dual-path digital loop filter to suppress the detrimental impact of DAC quantization noise. A prototype was implemented in a 65nm CMOS process operating over a wide frequency range of 2.0GHz-5.5GHz using a modified extended range multi-modulus divider with seamless switching. The proposed digital FNPLL achieves 1.9psrms integrated jitter while consuming only 4mW at 5GHz output. The measured in-band phase noise is better than -96 dBc/Hz at 1MHz offset. The proposed FNPLL achieves wide bandwidth up to 6MHz using a 50 MHz reference and its FoM is -228.5dB, which is at about 20dB better than previously reported ring-based digital FNPLLs. In the third part, we propose a new multi-output clock generator architecture using open loop fractional dividers for system-on-chip (SoC) platforms. Modern multi-core processors use per core clocking, where each core runs at its own speed. The core frequency can be changed dynamically to optimize for performance or power dissipation using a dynamic frequency scaling (DFS) technique. Fast frequency switching is highly desirable as long as it does not interrupt code execution; therefore it requires smooth frequency transitions with no undershoots. The second main requirement in processor clocking is the capability of spread spectrum frequency modulation. By spreading the clock energy across a wide bandwidth, the electromagnetic interference (EMI) is dramatically reduced. A conventional PLL clock generation approach suffers from a slow frequency settling and limited spread spectrum modulation capabilities. The proposed open loop fractional divider architecture overcomes the bandwidth limitation in fractional-N PLLs. The fractional divider switches the output frequency instantaneously and provides an excellent spread spectrum performance, where precise and programmable modulation depth and frequency can be applied to satisfy different EMI requirements. The fractional divider has unlimited modulation bandwidth resulting in spread spectrum modulation with no filtering, unlike fractional-N PLL; consequently it achieves higher EMI reduction. A prototype fractional divider was implemented in a 65nm CMOS process, where the measured peak-to-peak jitter is less than 27ps over a wide frequency range from 20MHz to 1GHz. The total power consumption is about 3.2mW for 1GHz output frequency. The all-digital implementation of the divider occupies the smallest area of 0.017mm2 compared to state-of-the-art designs. As the data rate of serial links goes higher, the jitter requirements of the clock generator become more stringent. Improving the jitter performance of conventional PLLs to less than (200fsrms) always comes with a large power penalty (tens of mWs). This is due to the PLL coupled noise bandwidth trade-off, which imposes stringent noise requirements on the oscillator and/or loop components. Alternatively, an injection-locked clock multiplier (ILCM) provides many advantages in terms of phase noise, power, and area compared to classical PLLs, but they suffer from a narrow lock-in range and a high sensitivity to PVT variations especially at a large multiplication factor (N). In the fourth part of this thesis, a low-jitter, low-power LC-based ILCM with a digital frequency-tracking loop (FTL) is presented. The proposed FTL relies on a new pulse gating technique to continuously tune the oscillator's free-running frequency. The FTL ensures robust operation across PVT variations and resolves the race condition existing in injection locked PLLs by decoupling frequency tuning from the injection path. As a result, the phase locking condition is only determined by the injection path. This work also introduces an accurate theoretical large-signal analysis for phase domain response (PDR) of injection locked oscillators (ILOs). The proposed PDR analysis captures the asymmetric nature of ILO's lock-in range, and the impact of frequency error on injection strength and phase noise performance. The proposed architecture and analysis are demonstrated by a prototype fabricated in 65 nm CMOS process with active area of 0.25mm2. The prototype ILCM multiplies the reference frequency by 64 to generate an output clock in the range of 6.75GHz-8.25GHz. A superior jitter performance of 190fsrms is achieved, while consuming only 2.25mW power. This translates to a best FoM of -251dB. Unlike conventional PLLs, ILCMs have been fundamentally limited to only integer-N operation and cannot synthesize fractional-N frequencies. In the last part of this thesis, we extend the merits of ILCMs to fractional-N and overcome this fundamental limitation. We employ DTC-based QNC techniques in order to align injected pulses to the oscillator's zero crossings, which enables it to pull the oscillator toward phase lock, thus realizing a fractional-N ILCM. Fabricated in 65nm CMOS process, a prototype 20-bit fractional-N ILCM with an output range of 6.75GHz-8.25GHz consumes only 3.25mW. It achieves excellent jitter performance of 110fsrms and 175fsrms in integer- and fractional-N modes respectively, which translates to the best-reported FoM in both integer- (-255dB) and fractional-N (-252dB) modes. The proposed fractional-N ILCM also features the first-reported rapid on/off capability, where the transient absolute jitter performance at wake-up is bounded below 4ps after less than 4ns. This demonstrates almost instantaneous phase settling. This unique capability enables tremendous energy saving by turning on the clock multiplier only when needed. This energy proportional operation leverages idle times to save power at the system-level of wireline and wireless transceivers

A Low Jitter Wideband Fractional-N Subsampling Phase Locked Loop (SSPLL)

Frequency synthesizers have become a crucial building block in the evolution of modern communication systems and consumer electronics. The spectral purity performance of frequency synthesizers limits the achievable data-rate and presents a noise-power tradeoff. For communication standards such as LTE where the channel spacing is a few kHz, the synthesizers must provide high frequencies with sufficiently wide frequency tuning range and fine frequency resolutions. Such stringent performance must be met with a limited power and small chip area. In this thesis a wideband fractional-N frequency synthesizer based on a subsampling phase locked loop (SSPLL) is presented. The proposed synthesizer which has a frequency resolution less than 100Hz employs a digital fractional controller (DFC) and a 10-bit digital-to-time converter (DTC) to delay the rising edges of the reference clock to achieve fractional phase lock. For fast convergence of the delay calibration, a novel two-step delay correlation loop (DCL) is employed. Furthermore, to provide optimum settling and jitter performance, the loop transfer characteristics during frequency acquisition and phase-lock are decoupled using a dual input loop filter (DILF). The fractional-N sub-sampling PLL (FNSSPLL) is implemented in a TSMC 40nm CMOS technology and occupies a total active area of 0.41mm^2. The PLL operates over frequency range of 2.8 GHz to 4.3 GHz (42% tuning range) while consuming 9.18mW from a 1.1V supply. The integrated jitter performance is better than 390 fs across all fractional frequency channel. The worst case fractional spur of -48.3 dBc occurs at a 650 kHz offset for a 3.75GHz fractional channel. The in-band phase noise measured at a 200 kHz offset is -112.5 dBc/Hz

Nonlinear Circuits For Signal Generation And Processing In Cmos

As Moore's law predicted, transistor scaling has continued unabated for more than half a century, resulting in significant improvement in speed, efficiency, and integration level. This has led to rapid growth of diverse computing and communications technologies, including the Internet and mobile telephony. Nevertheless, we still face the fundamental limit of noise from transistors and passive components. This noise limit becomes more critical at higher frequencies due to the decrease in intrinsic transistor gain as well as with voltage scaling that accompanies the transistor scaling. On the other hand, insufficient transistor gain and breakdown in silicon limits high-power signal generation at sub-millimeter frequencies that is essential in many security and medical applications, including detection of concealed weapons and bio/molecular spectroscopy for drug detection and breath analysis for disease diagnosis. To go beyond these limits, we propose a new circuit design methodology inspired by nonlinear wave propagation. This method is closely related to intriguing phenomena in other disciplines of physics such as nonlinear optics, fluid mechanics, and plasma physics. Based on this, in the first part of this study, we propose a passive 20-GHz frequency divider for the first time implemented in CMOS. This device has close to ideal noise performance with no DC power consumption, which can potentially reduce overall system power and phase noise in high-frequency synthesizers. Next, to achieve sensitivity toward the thermal noise limit, we propose a 10-GHz CMOS noise-squeezing amplifier. This amplifier enhances sensitivity of an input signal in one quadrature phase by 2.5 dB at the expense of degrading the other quadrature component. Lastly, we introduce an LC lattice to generate 2.7 V p[-] p , 6 ps pulses in CMOS using constructive nonlinear wave interaction. The proposed lattice exhibits the sharpest pulse width achieved for high-amplitude pulses (>1 V) in any CMOS processes