Producing Random Bits with Delay-Line Based Ring Oscillators

One of the sources of randomness for a random bit generator (RBG) is jitter present in rectangular signals produced by ring oscillators (ROs). This paper presents a novel approach for the design of delays used in these oscillators. We suggest using delay elements made on carry4 primitives instead of series of inverters or latches considered in the literature. It enables the construction of many high frequency ring oscillators with different nominal frequencies in the same field programmable gate array (FPGA). To assess the unpredictability of bits produced by RO-based RBG, the restarts mechanism, proposed in earlier papers, was used. The output sequences pass all NIST 800-22 statistical tests for smaller number of ring oscillators than the constructions described in the literature. Due to the number of ROs with different nominal frequencies and the method of construction of carry4 primitives, it is expected that the proposed RBG is more robust to cryptographic attacks than RBGs using inverters or latches as delay element

Virtual damping and Einstein relation in oscillators

This paper presents a new physical theory of oscillator phase noise. Built around the concept of phase diffusion, this work bridges the fundamental physics of noise and existing oscillator phase-noise theories. The virtual damping of an ensemble of oscillators is introduced as a measure of phase noise. The explanation of linewidth compression through virtual damping provides a unified view of resonators and oscillators. The direct correspondence between phase noise and the Einstein relation is demonstrated, which reveals the underlying physics of phase noise. The validity of the new approach is confirmed by consistent experimental agreement

Low jitter design techniques for monolithic CMOS phase-locked and delay-locked systems

Timing jitter is a major concern in almost every type of communication system. Yet the desire for high levels of integration works against minimization of this error, especially for systems employing a phase-locked loop (PLL) or delay-locked loop (DLL) for timing generation or timing recovery. There has been an increasing demand for fully-monolithic CMOS PLL and DLL designs with good jitter performance. In this thesis, the system level as well as the transistor level low jitter design techniques for integrated PLLs and DLLs have been explored.;On the system level, a rigorous jitter analysis method based on a z-domain model is developed, in which the jitter is treated as a random event. Combined with statistical methods, the rms value of the accumulated jitter can be expressed with a closed form solution that successfully ties the jitter performance with loop parameters. Based on this analysis, a cascaded PLL/DLL structure is proposed which combines the advantage of both loops. The resulting system is able to perform frequency synthesis with the jitter as low as that of a DLL.;As an efficient tool to predict the jitter performance of a PLL or DLL system, a new nonlinear behavioral simulator is developed based on a novel behavioral modeling of the VCO and delay-line. Compared with prior art, this simulator not only simplifies the computation but also enables the noise simulation. Both jitter performance during tracking and lock condition can be predicted. This is also the first reported top-level simulation tool for DLL noise simulation.;On the transistor level, three prototype chips for different applications were implemented and tested. The first two chips are the application of PLL in Gigabit fibre channel transceivers. High speed circuit blocks that have good noise immunity are the major design concern. Testing results show that both designs have met the specifications with low power dissipation. For the third chip, an adaptive on-chip dynamic skew calibration technique is proposed to realize a precise delay multi-phase clock generator, which is a topic that has not been addressed in previous work thus far. Experimental results strongly support the effectiveness of the calibration scheme. At the same time, this design achieves by far the best reported jitter performance

A high speed oscillator-based truly random number source for cryptographic applications on a Smart Card IC

Special Issue on Cryptographic Hardware and Embedded System

Study of voltage controlled oscillator based analog-to-digital converter

A voltage controlled oscillator (VCO) based analog-to-digital converter (ADC) is a time based architecture with a first-order noise-shaping property, which can be implemented using a VCO and digital circuits. This thesis analyzes the performance of VCO-based ADCs in the presence of non idealities such as jitter, nonlinearity, mismatch, and the metastability of D flip-flops. Based on this analysis, design criteria for determining parameters for VCO-based ADCs are described. Further, the study involves the use of VCO based Dual-slope A/D converter and its behaviour under different input voltage level. Graph is plotted between output voltages of the integrator vs. time. Digital circuits like a bit-counter and logic circuits are used for operation mode. A normal VCO model is also done in MATLAB-simulink environment and studied under variable input frequency and corresponding output plots are view

A built-in self-test technique for high speed analog-to-digital converters

Fundação para a Ciência e a Tecnologia (FCT) - PhD grant (SFRH/BD/62568/2009

High-speed communication circuits: voltage control oscillators and VCO-derived filters

Voltage Controlled Oscillators (VCO) and filters are the two main topics of focus in this dissertation.;A temperature and process compensated VCO, which is designed to operate at 2 GHz, and whose frequency variation due to incoming data is limited to 1% of its center frequency was presented. The test results show that, without process changes present, the frequency variation due to a temperature change over 0°C to 100°C is around 1.1% of its center frequency. This is a reduction of a factor of 10 when compared to the temperature variation of a conventional VCO.;A new method of designing continuous-time monolithic filters derived from well-known voltage controlled oscillators (VCOs) was introduced. These VCO-derived filters are capable of operating at very high frequencies in standard CMOS processes. Prototype low-pass and band-pass filters designed in a TSMC 0.25 mum process are discussed. Simulation results for the low-pass filter designed for a cutoff frequency of 4.3 GHz show a THD of -40 dB for a 200 mV peak-peak sinusoidal input. The band-pass filter has a resonant frequency programmable from 2.3 GHz to 3.1 GHz, a programmable Q from 3 to 85, and mid-band THD of -40 dB for an 80 mV peak-peak sinusoidal input signal.;A third contribution in this dissertation was the design of a new current mirror with accurate mirror gain for low beta bipolar transistors. High mirror gain accuracy is achieved by using a split-collector transistor to compensate for base currents of the source-coupled

Low jitter phase-locked loop clock synthesis with wide locking range

The fast growing demand of wireless and high speed data communications has driven efforts to increase the levels of integration in many communications applications. Phase noise and timing jitter are important design considerations for these communications applications. The desire for highly complex levels of integration using low cost CMOS technologies works against the minimization of timing jitter and phase noise for communications systems which employ a phase-locked loop for frequency and clock synthesis with on-chip VCO. This dictates an integrated CMOS implementation of the VCO with very low phase noise performance. The ring oscillator VCOs based on differential delay cell chains have been used successfully in communications applications, but thermal noise induced phase noise have to be minimized in order not to limit their applicability to some applications which impose stringent timing jitter and phase noise requirements on the PLL clock synthesizer. Obtaining lower timing jitter and phase noise at the PLL output also requires the minimization of noise in critical circuit design blocks as well as the optimization of the loop bandwidth of the PLL. In this dissertation the fundamental performance limits of CMOS PLL clock synthesizers based on ring oscillator VCOs are investigated. The effect of flicker and thermal noise in MOS transistors on timing jitter and phase noise are explored, with particular emphasis on source coupled NMOS differential delay cells with symmetric load elements. Several new circuit architectures are employed for the charge pump circuit and phase-frequency detector (PFD) to minimize the timing jitter due to the finite dead zone in the PFD and the current mismatch in the charge pump circuit. The selection of the optimum PLL loop bandwidth is critical in determining the phase noise performance at the PLL output. The optimum loop bandwidth and the phase noise performance of the PLL is determined using behavioral simulations. These results are compared with transistor level simulated results and experimental results for the PLL clock synthesizer fabricated in a 0.35 µm CMOS technology with good agreement. To demonstrate the proposed concept, a fully integrated CMOS PLL clock synthesizer utilizing integer-N frequency multiplier technique to synthesize several clock signals in the range of 20-400 MHz with low phase noise was designed. Implemented in a standard 0.35-µm N-well CMOS process technology, the PLL achieves a period jitter of 6.5-ps (rms) and 38-ps (peak-to-peak) at 216 MHz with a phase noise of -120 dBc/Hz at frequency offsets above 10 KHz. The specific research contributions of this work include (1) proposing, designing, and implementing a new charge pump circuit architecture that matches current levels and therefore minimizes one source of phase noise due to fluctuations in the control voltage of the VCO, (2) an improved phase-frequency detector architecture which has improved characteristics in lock condition, (3) an improved ring oscillator VCO with excellent thermal noise induced phase noise characteristics, (4) the application of selfbiased techniques together with fixed bias to CMOS low phase noise PLL clock synthesizer for digital video communications ,and (5) an analytical model that describes the phase noise performance of the proposed VCO and PLL clock synthesizer

D2.1 - Report on Selected TRNG and PUF Principles

This report represents the final version of Deliverable 2.1 of the HECTOR work package WP2. It is a result of discussions and work on Task 2.1 of all HECTOR partners involved in WP2. The aim of the Deliverable 2.1 is to select principles of random number generators (RNGs) and physical unclonable functions (PUFs) that fulfill strict technology, design and security criteria. For example, the selected RNGs must be suitable for implementation in logic devices according to the German AIS20/31 standard. Correspondingly, the selected PUFs must be suitable for applying similar security approach. A standard PUF evaluation approach does not exist, yet, but it should be proposed in the framework of the project. Selected RNGs and PUFs should be then thoroughly evaluated from the point of view of security and the most suitable principles should be implemented in logic devices, such as Field Programmable Logic Arrays (FPGAs) and Application Specific Integrated Circuits (ASICs) during the next phases of the project