Design of Digital FMCW Chirp Synthesizer PLLs Using Continuous-Time Delta-Sigma Time-to-Digital Converters

Radar applications for driver assistance systems and autonomous vehicles have spurred the development of frequency-modulated continuous-wave (FMCW) radar. Continuous signal transmission and high operation frequencies in the K- and W-bands enable radar systems with low power consumption and small form factors. The radar performance depends on high-quality signal sources for chirp generation to ensure accurate and reliable target detection, requiring chirp synthesizers that offer fast frequency settling and low phase noise. Fractional-N phase locked loops (PLLs) are an effective tool for synthesis of FMCW waveform profiles, and advances in CMOS technology have enabled high-performance single-chip CMOS synthesizers for FMCW radar. Design approaches for FMCW chirp synthesizer PLLs need to address the conflicting requirements of fast settling and low close-in phase noise. While integrated PLLs can be implemented as analog or digital PLLs, analog PLLs still dominate for high frequencies. Digital PLLs offer greater programmability and area efficiency than their analog counterparts, but rely on high-resolution time-to-digital converters (TDCs) for low close-in phase noise. Performance limitations of conventional TDCs remain a roadblock for achieving low phase noise with high-frequency digital PLLs. This shortcoming of digital PLLs becomes even more pronounced with wide loop bandwidths as required for FMCW radar. To address this problem, this work presents digital FMCW chirp synthesizer PLLs using continuous-time delta-sigma TDCs. After a discussion of the requirements for PLL-based FMCW chirp synthesizers, this dissertation focuses on digital fractional-N PLL designs based on noise-shaping TDCs that leverage state-of-the-art delta-sigma modulator techniques to achieve low close-in phase noise in wide-bandwidth digital PLLs. First, an analysis of the PLL bandwidth and chirp linearity studies the design requirements for chirp synthesizer PLLs. Based on a model of a complete radar system, the analysis examines the impact of the PLL bandwidth on the radar performance. The modeling approach allows for a straightforward study of the radar accuracy and reliability as functions of the chirp parameters and the PLL configuration. Next, an 18-to-22GHz chirp synthesizer PLL that produces a 25-segment chirp for a 240GHz FMCW radar application is described. This synthesizer design adapts an existing third-order noise-shaping TDC design. A 65nm CMOS prototype achieves a measured close-in phase noise of -88dBc/Hz at 100kHz offset for wide PLL bandwidths and consumes 39.6mW. The prototype drives a radar testbed to demonstrate the effectiveness of the synthesizer design in a complete radar system. Finally, a second-order noise-shaping TDC based on a fourth-order bandpass delta-sigma modulator is introduced. This bandpass delta-sigma TDC leverages the high resolution of a bandpass delta-sigma modulator by sampling a sinusoidal PLL reference and applies digital down-conversion to achieve low TDC noise in the frequency band of interest. Based on the bandpass delta-sigma TDC, a 38GHz digital FMCW chirp synthesizer PLL is designed. The feedback divider applies phase interpolation with a phase rotation scheme to ensure the effectiveness of the low TDC noise. A prototype PLL, fabricated in 40nm CMOS, achieves a measured close-in phase noise of -85dBc/Hz at 100kHz offset for wide loop bandwidths >1MHz and consumes 68mW. It effectively generates fast (500MHz/55us) and precise (824kHz rms frequency error) triangular chirps for FMCW radar. The bandpass delta-sigma TDC achieves a measured integrated rms noise of 325fs in a 1MHz bandwidth.PHDElectrical EngineeringUniversity of Michigan, Horace H. Rackham School of Graduate Studieshttps://deepblue.lib.umich.edu/bitstream/2027.42/147732/1/dweyer_1.pdfDescription of dweyer_1.pdf : Restricted to UM users only

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

Timing Signals and Radio Frequency Distribution Using Ethernet Networks for High Energy Physics Applications

Timing networks are used around the world in various applications from telecommunications systems to industrial processes, and from radio astronomy to high energy physics. Most timing networks are implemented using proprietary technologies at high operation and maintenance costs. This thesis presents a novel timing network capable of distributed timing with subnanosecond accuracy. The network, developed at CERN and codenamed “White- Rabbit”, uses a non-dedicated Ethernet link to distribute timing and data packets without infringing the sub-nanosecond timing accuracy required for high energy physics applications. The first part of this thesis proposes a new digital circuit capable of measuring time differences between two digital clock signals with sub-picosecond time resolution. The proposed digital circuit measures and compensates for the phase variations between the transmitted and received network clocks required to achieve the sub-nanosecond timing accuracy. Circuit design, implementation and performance verification are reported. The second part of this thesis investigates and proposes a new method to distribute radio frequency (RF) signals over Ethernet networks. The main goal of existing distributed RF schemes, such as Radio-Over-Fibre or Digitised Radio-Over-Fibre, is to increase the bandwidth capacity taking advantage of the higher performance of digital optical links. These schemes tend to employ dedicated and costly technologies, deemed unnecessary for applications with lower bandwidth requirements. This work proposes the distribution of RF signals over the “White-Rabbit” network, to convey phase and frequency information from a reference base node to a large numbers of remote nodes, thus achieving high performance and cost reduction of the timing network. Hence, this thesis reports the design and implementation of a new distributed RF system architecture; analysed and tested using a purpose-built simulation environment, with results used to optimise a new bespoke FPGA implementation. The performance is evaluated through phase-noise spectra, the Allan-Variance, and signalto- noise ratio measurements of the distributed signals

On-Chip Analog Circuit Design Using Built-In Self-Test and an Integrated Multi-Dimensional Optimization Platform

Nowadays, the rapid development of system-on-chip (SoC) market introduces tremendous complexity into the integrated circuit (IC) design. Meanwhile, the IC fabrication process is scaling down to allow higher density of integration but makes the chips more sensitive to the process-voltage-temperature (PVT) variations. A successful IC product not only imposes great pressure on the IC designers, who have to handle wider variations and enforce more design margins, but also challenges the test procedure, leading to more check points and longer test time. To relax the designers’ burden and reduce the cost of testing, it is valuable to make the IC chips able to test and tune itself to some extent. In this dissertation, a fully integrated in-situ design validation and optimization (VO) hardware for analog circuits is proposed. It implements in-situ built-in self-test (BIST) techniques for analog circuits. Based on the data collected from BIST, the error between the measured and the desired performance of the target circuit is evaluated using a cost function. A digital multi-dimensional optimization engine is implemented to adaptively adjust the analog circuit parameters, seeking the minimum value of the cost function and achieving the desired performance. To verify this concept, study cases of a 2nd/4th active-RC band-pass filter (BPF) and a 2nd order Gm-C BPF, as well as all BIST and optimization blocks, are adopted on-chip. Apart from the VO system, several improved BIST techniques are also proposed in this dissertation. A single-tone sinusoidal waveform generator based on a finite-impulse-response (FIR) architecture, which utilizes an optimization algorithm to enhance its spur free dynamic range (SFDR), is proposed. It achieves an SFDR of 59 to 70 dBc from 150 to 850 MHz after the optimization procedure. A low-distortion current-steering two-tone sinusoidal signal synthesizer based on a mixing-FIR architecture is also proposed. The two-tone synthesizer extends the FIR architecture to two stages and implements an up-conversion mixer to generate the two tones, achieving better than -68 dBc IM3 below 480 MHz LO frequency without calibration. Moreover, an on-chip RF receiver linearity BIST methodology for continuous and discrete-time hybrid baseband chain is proposed. The proposed receiver chain implements a charge-domain FIR filter to notch the two excitation signals but expose the third order intermodulation (IM3) tones. It simplifies the linearity measurement procedure–using a power detector is enough to analyze the receiver’s linearity. Finally, a low cost fully digital built-in analog tester for linear-time-invariant (LTI) analog blocks is proposed. It adopts a time-to-digital converter (TDC) to measure the delays corresponded to a ramp excitation signal and is able to estimate the pole or zero locations of a low-pass LTI system