Mathematical analysis of prime modulus quantizer MASH digital delta-sigma modulator

A MASH digital delta-sigma modulator (DDSM) is analyzed mathematically. It incorporates first-order error feedback modulators (EFM) which include prime modulus quantizers to guarantee a minimum sequence length M. The purpose of this analysis is to calculate the exact sequence length of the aforementioned MASH DDSM. We show that the sequence length for an lth-order member of this modulator family is M for all constant inputs, and for all initial conditions, where M is the sequence length of the constituent first-order prime modulus quantizer EFMs.

Analysis, simulation and design of nonlinear RF circuits

The PhD project consists of two parts. The first part concerns the development of Computer Aided Design (CAD) algorithms for high-frequency circuits. Novel Padébased algorithms for numerical integration of ODEs as arise in high-frequency circuits are proposed. Both single- and multi-step methods are introduced. A large part of this section of the research is concerned with the application of Filon-type integration techniques to circuits subject to modulated signals. Such methods are tested with analog and digital modulated signals and are seen to be very effective. The results confirm that these methods are more accurate than the traditional trapezoidal rule and Runge-Kutta methods. The second part of the research is concerned with the analysis, simulation and design of RF circuits with emphasis on injection-locked frequency dividers (ILFD) and digital delta-sigma modulators (DDSM). Both of these circuits are employed in fractional-N frequency synthesizers. Several simulation methods are proposed to capture the locking range of an ILFD, such as the Warped Multi-time Partial Differential Equation (WaMPDE) and the Multiple-Phase-Condition Envelope Following (MPCENV) methods. The MPCENV method is the more efficient and accurate simulation technique and it is recommended to obviate the need for expensive experiments. The Multi-stAge noise Shaping (MASH) digital delta-sigma modulator (DDSM) is simulated in MATLAB and analysed mathematically. A novel structure employing multimoduli, termed the MM-MASH, is proposed. The goal in this design work is to reduce the noise level in the useful frequency band of the modulator. The success of the novel structure in achieving this aim is confirmed with simulations

Clock Generation Design for Continuous-Time Sigma-Delta Analog-To-Digital Converter in Communication Systems

Software defined radio, a highly digitized wireless receiver, has drawn huge attention in modern communication system because it can not only benefit from the advanced technologies but also exploit large digital calibration of digital signal processing (DSP) to optimize the performance of receivers. Continuous-time (CT) bandpass sigma-delta (ΣΔ) modulator, used as an RF-to-digital converter, has been regarded as a potential solution for software defined ratio. The demand to support multiple standards motivates the development of a broadband CT bandpass ΣΔ which can cover the most commercial spectrum of 1GHz to 4GHz in a modern communication system. Clock generation, a major building block in radio frequency (RF) integrated circuits (ICs), usually uses a phase-locked loop (PLL) to provide the required clock frequency to modulate/demodulate the informative signals. This work explores the design of clock generation in RF ICs. First, a 2-16 GHz frequency synthesizer is proposed to provide the sampling clocks for a programmable continuous-time bandpass sigma-delta (ΣΔ) modulator in a software radio receiver system. In the frequency synthesizer, a single-sideband mixer combines feed-forward and regenerative mixing techniques to achieve the wide frequency range. Furthermore, to optimize the excess loop delay in the wideband system, a phase-tunable clock distribution network and a clock-controlled quantizer are proposed. Also, the false locking of regenerative mixing is solved by controlling the self-oscillation frequency of the CML divider. The proposed frequency synthesizer performs excellent jitter performance and efficient power consumption. Phase noise and quadrature phase accuracy are the common tradeoff in a quadrature voltage-controlled oscillator. A larger coupling ratio is preferred to obtain good phase accuracy but suffer phase noise performance. To address these fundamental trade-offs, a phasor-based analysis is used to explain bi-modal oscillation and compute the quadrature phase errors given by inevitable mismatches of components. Also, the ISF is used to estimate the noise contribution of each major noise source. A CSD QVCO is first proposed to eliminate the undesired bi-modal oscillation and enhance the quadrature phase accuracy. The second work presents a DCC QVCO. The sophisticated dynamic current-clipping coupling network reduces injecting noise into LC tank at most vulnerable timings (zero crossing points). Hence, it allows the use of strong coupling ratio to minimize the quadrature phase sensitivity to mismatches without degrading the phase noise performance. The proposed DCC QVCO is implemented in a 130-nm CMOS technology. The measured phase noise is -121 dBc/Hz at 1MHz offset from a 5GHz carrier. The QVCO consumes 4.2mW with a 1-V power supply, resulting in an outstanding Figure of Merit (FoM) of 189 dBc/Hz. Frequency divider is one of the most power hungry building blocks in a PLL-based frequency synthesizer. The complementary injection-locked frequency divider is proposed to be a low-power solution. With the complimentary injection schemes, the dividers can realize both even and odd division modulus, performing a more than 100% locking range to overcome the PVT variation. The proposed dividers feature excellent phase noise. They can be used for multiple-phase generation, programmable phase-switching frequency dividers, and phase-skewing circuits

RF MEMS reference oscillators platform for wireless communications

A complete platform for RF MEMS reference oscillator is built to replace bulky quartz from mobile devices, thus reducing size and cost. The design targets LTE transceivers. A low phase noise 76.8 MHz reference oscillator is designed using material temperature compensated AlN-on-silicon resonator. The thesis proposes a system combining piezoelectric resonator with low loading CMOS cross coupled series resonance oscillator to reach state-of-the-art LTE phase noise specifications. The designed resonator is a two port fundamental width extensional mode resonator. The resonator characterized by high unloaded quality factor in vacuum is designed with low temperature coefficient of frequency (TCF) using as compensation material which enhances the TCF from - 3000 ppm to 105 ppm across temperature ranges of -40˚C to 85˚C. By using a series resonant CMOS oscillator, phase noise of -123 dBc/Hz at 1 kHz, and -162 dBc/Hz at 1MHz offset is achieved. The oscillator’s integrated RMS jitter is 106 fs (10 kHz–20 MHz), consuming 850 μA, with startup time is 250μs, achieving a Figure-of-merit (FOM) of 216 dB. Electronic frequency compensation is presented to further enhance the frequency stability of the oscillator. Initial frequency offset of 8000 ppm and temperature drift errors are combined and further addressed electronically. A simple digital compensation circuitry generates a compensation word as an input to 21 bit MASH 1 -1-1 sigma delta modulator incorporated in RF LTE fractional N-PLL for frequency compensation. Temperature is sensed using low power BJT band-gap front end circuitry with 12 bit temperature to digital converter characterized by a resolution of 0.075˚C. The smart temperature sensor consumes only 4.6 μA. 700 MHz band LTE signal proved to have the stringent phase noise and frequency resolution specifications among all LTE bands. For this band, the achieved jitter value is 1.29 ps and the output frequency stability is 0.5 ppm over temperature ranges from -40˚C to 85˚C. The system is built on 32nm CMOS technology using 1.8V IO device

Digital controlled oscillator (DCO) for all digital phase-locked loop (ADPLL) – a review

Digital controlled oscillator (DCO) is becoming an attractive replacement over the voltage control oscillator (VCO) with the advances of digital intensive research on all-digital phase locked-loop (ADPLL) in complementary metal-oxide semiconductor (CMOS) process technology. This paper presents a review of various CMOS DCO schemes implemented in ADPLL and relationship between the DCO parameters with ADPLL performance. The DCO architecture evaluated through its power consumption, speed, chip area, frequency range, supply voltage, portability and resolution. It can be concluded that even though there are various schemes of DCO that have been implemented for ADPLL, the selection of the DCO is frequently based on the ADPLL applications and the complexity of the scheme. The demand for the low power dissipation and high resolution DCO in CMOS technology shall remain a challenging and active area of research for years to come. Thus, this review shall work as a guideline for the researchers who wish to work on all digital PLL

A Wide Band Adaptive All Digital Phase Locked Loop With Self Jitter Measurement And Calibration

The expanding growth of mobile products and services has led to various wireless communication standards that employ different spectrum bands and protocols to provide data, voice or video communication services. Software deffned radio and cognitive radio are emerging techniques that can dynamically integrate various standards to provide seamless global coverage, including global roaming across geographical regions, and interfacing with different wireless networks. In software deffned radio and cognitive radio, one of the most critical RF blocks that need to exhibit frequency agility is the phase lock loop (PLL) frequency synthesizer. In order to access various standards, the frequency synthesizer needs to have wide frequency tuning range, fast tuning speed, and low phase noise and frequency spur. The traditional analog charge pump frequency synthesizer circuit design is becoming diffcult due to the continuous down-scalings of transistor feature size and power supply voltage. The goal of this project was to develop an all digital phase locked loop (ADPLL) as the alternative solution technique in RF transceivers by taking advantage of digital circuitry\u27s characteristic features of good scalability, robustness against process variation and high noise margin. The targeted frequency bands for our ADPLL design included 880MHz-960MHz, 1.92GHz-2.17GHz, 2.3GHz-2.7GHz, 3.3GHz-3.8GHz and 5.15GHz-5.85GHz that are used by wireless communication standards such as GSM, UMTS, bluetooth, WiMAX and Wi-Fi etc. This project started with the system level model development for characterizing ADPLL phase noise, fractional spur and locking speed. Then an on-chip jitter detector and parameter adapter was designed for ADPLL to perform self-tuning and self-calibration to accomplish high frequency purity and fast frequency locking in each frequency band. A novel wide band DCO is presented for multi-band wireless application. The proposed wide band adaptive ADPLL was implemented in the IBM 0.13µm CMOS technology. The phase noise performance, the frequency locking speed as well as the tuning range of the digitally controlled oscillator was assessed and agrees well with the theoretical analysis

LOW PHASE NOISE CMOS PLL FREQUENCY SYNTHESIZER DESIGN AND ANALYSIS

The phase-locked loop (PLL) frequency synthesizer is a critical device of wireless transceivers. It works as a local oscillator (LO) for frequency translation and channel selection in the transceivers but suffers phase noise including reference spurs. In this dissertation for lowing phase noise and power consumption, efforts are placed on the new design of PLL components: VCOs, charge pumps and sigma delta modulators. Based on the analysis of the VCO phase noise generation mechanism and improving on the literature results, a design-oriented phase noise model for a complementary cross-coupled LC VCO is provided. The model reveals the relationship between the phase noise performance and circuit design parameters. Using this phase noise model, an optimized 2GHz low phase noise CMOS LC VCO is designed, simulated and fabricated. The theoretical analysis results are confirmed by the simulation and experimental results. With this VCO phase noise model, we also design a low phase noise, low gain wideband VCO with the typical VCO gain around 100MHz/V. Improving upon literature results, a complete quantitative analysis of reference spur is given in this dissertation. This leads to a design of a charge pump by using a negative feedback circuit and replica bias to reduce the current mismatch which causes the reference spur. In addition, low-impedance charge/discharge paths are provided to overcome the charge pump current glitches which also cause PLL spurs. With a large bit-width high order sigma delta modulator, the fractional-N PLL has fine frequency resolution and fast locking time. Based on an analysis of sigma delta modulator models introduced in this dissertation, a 3rd-order MASH 1-1-1 digital sigma delta modulator is designed. Pipelining techniques and true single phase clock (TSPC) techniques are used for saving power and area. Included is the design of a fully integrated 2.4GHz §¢ fractional-N CMOS PLL frequency synthesizer. It takes advantage of a sigma delta modulator to get a very fine frequency resolution and a relatively large loop bandwidth. This frequency synthesizer is a 4th-order charge pump PLL with 26MHz reference frequency. The loop bandwidth is about 150KHz, while the whole PLL phase noise is about -120dBc/Hz at 1MHz frequency offset

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

Techniques for Wideband All Digital Polar Transmission

abstract: Modern Communication systems are progressively moving towards all-digital transmitters (ADTs) due to their high efficiency and potentially large frequency range. While significant work has been done on individual blocks within the ADT, there are few to no full systems designs at this point in time. The goal of this work is to provide a set of multiple novel block architectures which will allow for greater cohesion between the various ADT blocks. Furthermore, the design of these architectures are expected to focus on the practicalities of system design, such as regulatory compliance, which here to date has largely been neglected by the academic community. Amongst these techniques are a novel upconverted phase modulation, polyphase harmonic cancellation, and process voltage and temperature (PVT) invariant Delta Sigma phase interpolation. It will be shown in this work that the implementation of the aforementioned architectures allows ADTs to be designed with state of the art size, power, and accuracy levels, all while maintaining PVT insensitivity. Due to the significant performance enhancement over previously published works, this work presents the first feasible ADT architecture suitable for widespread commercial deployment.Dissertation/ThesisDoctoral Dissertation Electrical Engineering 201