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

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

Design of sigma-delta modulators for analog-to-digital conversion intensively using passive circuits

This thesis presents the analysis, design implementation and experimental evaluation of passiveactive discrete-time and continuous-time Sigma-Delta (ΣΔ) modulators (ΣΔMs) analog-todigital converters (ADCs). Two prototype circuits were manufactured. The first one, a discrete-time 2nd-order ΣΔM, was designed in a 130 nm CMOS technology. This prototype confirmed the validity of the ultra incomplete settling (UIS) concept used for implementing the passive integrators. This circuit, clocked at 100 MHz and consuming 298 μW, achieves DR/SNR/SNDR of 78.2/73.9/72.8 dB, respectively, for a signal bandwidth of 300 kHz. This results in a Walden FoMW of 139.3 fJ/conv.-step and Schreier FoMS of 168 dB. The final prototype circuit is a highly area and power efficient ΣΔM using a combination of a cascaded topology, a continuous-time RC loop filter and switched-capacitor feedback paths. The modulator requires only two low gain stages that are based on differential pairs. A systematic design methodology based on genetic algorithm, was used, which allowed decreasing the circuit’s sensitivity to the circuit components’ variations. This continuous-time, 2-1 MASH ΣΔM has been designed in a 65 nm CMOS technology and it occupies an area of just 0.027 mm2. Measurement results show that this modulator achieves a peak SNR/SNDR of 76/72.2 dB and DR of 77dB for an input signal bandwidth of 10 MHz, while dissipating 1.57 mW from a 1 V power supply voltage. The ΣΔM achieves a Walden FoMW of 23.6 fJ/level and a Schreier FoMS of 175 dB. The innovations proposed in this circuit result, both, in the reduction of the power consumption and of the chip size. To the best of the author’s knowledge the circuit achieves the lowest Walden FOMW for ΣΔMs operating at signal bandwidth from 5 MHz to 50 MHz reported to date

New strategies for low noise, agile PLL frequency synthesis

Phase-Locked Loop based frequency synthesis is an essential technique employed in wireless communication systems for local oscillator generation. The ultimate goal in any design of frequency synthesisers is to generate precise and stable output frequencies with fast switching and minimal spurious and phase noise. The conflict between high resolution and fast switching leads to two separate integer synthesisers to satisfy critical system requirements. This thesis concerns a new sigma-delta fractional-N synthesiser design which is able to be directly modulated at high data rates while simultaneously achieving good noise performance. Measured results from a prototype indicate that fast switching, low noise and spurious free spectra are achieved for most covered frequencies. The phase noise of the unmodulated synthesiser was measured −113 dBc/Hz at 100 kHz offset from the carrier. The intermodulation effect in synthesisers is capable of producing a family of spurious components of identical form to fractional spurs caused in quantisation process. This effect directly introduces high spurs on some channels of the synthesiser output. Numerical and analytic results describing this effect are presented and amplitude and distribution of the resulting fractional spurs are predicted and validated against simulated and measured results. Finally an experimental arrangement, based on a phase compensation technique, is presented demonstrating significant suppression of intermodulation-borne spurs. A new technique, pre-distortion noise shaping, is proposed to dramatically reduce the impact of fractional spurs in fractional-N synthesisers. The key innovation is the introduction in the bitstream generation process of carefully-chosen set of components at identical offset frequencies and amplitudes and in anti-phase with the principal fractional spurs. These signals are used to modify the Σ-Δ noise shaping, so that fractional spurs are effectively cancelled. This approach can be highly effective in improving spectral purity and reduction of spurious components caused by the Σ-Δ modulator, quantisation noise, intermodulation effects and any other circuit factors. The spur cancellation is achieved in the digital part of the synthesiser without introducing additional circuitry. This technique has been convincingly demonstrated by simulated and experimental results

Real-time 100-GS/s sigma-delta modulator for all-digital radio-over-fiber transmission

All-digital radio-over-fiber (RoF) transmission has attracted a significant amount of interest in digital-centric systems or centralized networks because it greatly simplifies the front-end hardware by using digital processing. The sigma-delta modulator (SDM)-based all-digital RoF approach pushes the digital signal processing as far as possible into the transmit chain. We present a real-time 100-GS/s fourth-order single-bit SDM for all-digital RoF transmission in the high-frequency band without the aid of analog/optical up-conversion. This is the fastest sigma-delta modulator reported and this is also the first real-time demonstration of sigma-delta-modulated RoF in the frequency band above 24 GHz. 4.68 Gb/s (2.34 Gb/s) 64-QAM is transported over 10-km standard single-mode fiber in the C-band with 6.46% (4.73%) error vector magnitude and 3.13 Gb/s 256-QAM can be even received in an optical back-to-back configuration. The carrier frequency can be digitally tuned at run-time, covering a wide frequency range from 22.75 to 27.5 GHz. Besides, this high-speed sigma-delta modulator introduces less than 1 mu s latency in the transmit chain. Its all-digital nature enables network virtualization, making the transmitter compatible with different existing standards. The prominent performance corroborates the strong competitiveness of this SDM-based RoF approach in high-frequency RoF 5C communication

A power efficient delta-sigma ADC with series-bilinear switch capacitor voltage-controlled oscillator

In low-power VLSI design applications non-linearity and harmonics are a major dominant factor which affects the performance of the ADC. To avoid this, the new architecture of voltage-controlled oscillator (VCO) was required to solve the non-linearity issues and harmonic distortion. In this work, a 12-bit, 200MS/s low power delta-sigma analog to digital converter (ADC) VCO based quantizer was designed using switched capacitor technique. The proposed technique uses frequency to current conversion technique as a linearization method to reduce the non-linearity issue. Simulation result show that the proposed 12-bit delta-sigma ADC consumes the power of 2.68 mW and a total area of 0.09 mm² in 90 nm CMOS process

12???14.5 GHZ DIGITALLY CONTROLLED OSCILLATOR USING A HIGH-RESOLUTION DELTA-SIGMA DIGITAL-TO-ANALOG CONVERTER

Department of Electrical EngineeringThis thesis focuses on the design of digitally-controlled oscillators (DCO) for ultra-low-jitter digital phase-locked-loops (PLL), which requires very fine frequency resolution and low phase noise performance. Before going details of the design, fundamentals of the digital-to-analog converter (DAC), delta-sigma modulator (DSM), LC voltage-controlled oscillator (VCO) are discussed in Chapters 2, 3, and 4 respectively. Detailly, Chapter 2 begins with the basic operations of the digital-toanalog converters. Plus, several types of DACs and their properties are discussed. For instance, resistorbased DAC or current source-based DAC. In Chapter 3, the backgrounds of DSMs are presented. The reason why DSMs are indispensable components in fractional number generation is presented. The meaning of the randomization and noise shaping in DSMs is discussed then high-order noise shaping DSMs are explained as well. Chapter 4, starts with the LC tanks. Integrated passive components are introduced such as spiral inductors, metal-insulator-metal (MIM) capacitors, and metal-oxide-metal (MOM) capacitors. The start-up of the oscillators also explained by using two approaches, the Barkhausen criterion and the negative resistance theory. Then the pros and cons of the CMOS and NMOS type topologies are stated. Finally, the phase noise in oscillators is analyzed by using the Leeson???s equation and the impulse-sensitivity function theory. In chapter 5, the detailed designs of the prototype DCO are presented. The designed DCO consists of 2nd order DSM, string resistor-based DAC, and CMOS-type LC VCO. The frequency resolutions of the proportional and integral path are different but the structures are identical. For the high-performance oscillator, iterative design is required. In the measurements, the designed DCO achieved 17 and 18 bit of frequency resolution in the proportional and integral path respectively, 12-14.5GHz of the frequency tuning range, 50 and 500MHz/V of KVCO for the main and auxiliary loop respectively, and -184.5 dB of figure of merit (FOM). The power consumption is 5.5mW and the prototype was fabricated in TSMC 65nm CMOS process.clos