PAD: A New Interactive Knowledge-Based Analog Design Approach

This paper presents a new Procedural Analog Design tool called PAD. It is a chart-based design environment dedicated to the design of analog circuits aiming to optimize design and quality by finding good tradeoffs. This interactive tool allows step-by-step design of analog cells by using guidelines for each analog topology. Its interactive interface enables instantaneous visualization of design tradeoffs. At each step, the user modifies interactively one subset of design parameters and observes the effect on other circuit parameters. At the end, an optimized design is ready for simulation (verification and fine-tuning). The present version of PAD covers the design of basic analog structures (one transistor or groups of transistors) and the procedural design of transconductance amplifiers (OTAs) and different operational amplifier topologies. The basic analog structures' calculator embedded in PAD uses the complete set of equations of the EKV MOS model, which links the equations for weak and strong inversion in a continuous way [1, 2]. Furthermore, PAD provides a layout generator for matched substructures such as current mirrors, cascode stages and differential pair

Formale Verifikationsmethodiken für nichtlineare analoge Schaltungen

The objective of this thesis is to develop new methodologies for formal verification of nonlinear analog circuits. Therefore, new approaches to discrete modeling of analog circuits, specification of analog circuit properties and formal verification algorithms are introduced. Formal approaches to verification of analog circuits are not yet introduced into industrial design flows and still subject to research. Formal verification proves specification conformance for all possible input conditions and all possible internal states of a circuit. Automatically proving that a model of the circuit satisfies a declarative machine-readable property specification is referred to as model checking. Equivalence checking proves the equivalence of two circuit implementations. Starting from the state of the art in modeling analog circuits for simulation-based verification, discrete modeling of analog circuits for state space-based formal verification methodologies is motivated in this thesis. In order to improve the discrete modeling of analog circuits, a new trajectory-directed partitioning algorithm was developed in the scope of this thesis. This new approach determines the partitioning of the state space parallel or orthogonal to the trajectories of the state space dynamics. Therewith, a high accuracy of the successor relation is achieved in combination with a lower number of states necessary for a discrete model of equal accuracy compared to the state-of-the-art hyperbox-approach. The mapping of the partitioning to a discrete analog transition structure (DATS) enables the application of formal verification algorithms. By analyzing digital specification concepts and the existing approaches to analog property specification, the requirements for a new specification language for analog properties have been discussed in this thesis. On the one hand, it shall meet the requirements for formal specification of verification approaches applied to DATS models. On the other hand, the language syntax shall be oriented on natural language phrases. By synthesis of these requirements, the analog specification language (ASL) was developed in the scope of this thesis. The verification algorithms for model checking, that were developed in combination with ASL for application to DATS models generated with the new trajectory-directed approach, offer a significant enhancement compared to the state of the art. In order to prepare a transition of signal-based to state space-based verification methodologies, an approach to transfer transient simulation results from non-formal test bench simulation flows into a partial state space representation in form of a DATS has been developed in the scope of this thesis. As has been demonstrated by examples, the same ASL specification that was developed for formal model checking on complete discrete models could be evaluated without modifications on transient simulation waveforms. An approach to counterexample generation for the formal ASL model checking methodology offers to generate transition sequences from a defined starting state to a specification-violating state for inspection in transient simulation environments. Based on this counterexample generation, a new formal verification methodology using complete state space-covering input stimuli was developed. By conducting a transient simulation with these complete state space-covering input stimuli, the circuit adopts every state and transition that were visited during stimulus generation. An alternative formal verification methodology is given by retransferring the transient simulation responses to a DATS model and by applying the ASL verification algorithms in combination with an ASL property specification. Moreover, the complete state space-covering input stimuli can be applied to develop a formal equivalence checking methodology. Therewith, the equivalence of two implementations can be proven for every inner state of both systems by comparing the transient simulation responses to the complete-coverage stimuli of both circuits. In order to visually inspect the results of the newly introduced verification methodologies, an approach to dynamic state space visualization using multi-parallel particle simulation was developed. Due to the particles being randomly distributed over the complete state space and moving corresponding to the state space dynamics, another perspective to the system's behavior is provided that covers the state space and hence offers formal results. The prototypic implementations of the formal verification methodologies developed in the scope of this thesis have been applied to several example circuits. The acquired results for the new approaches to discrete modeling, specification and verification algorithms all demonstrate the capability of the new verification methodologies to be applied to complex circuit blocks and their properties.Gegenstand dieser Dissertation ist die Entwicklung neuer Methodiken zur formalen Verifikation nichtlinearer analoger elektronischer Schaltungen. Dazu werden im Rahmen dieser Arbeit entstandene neue Ansätze in den Bereichen verifikationsgerechte diskrete Modellierung analoger Schaltungen, Spezifikation analoger Schaltungseigenschaften und formale Verifikationsalgorithmen vorgestellt. Ausgehend vom Stand der Technik der Modellierung analoger Schaltungen für die simulationsbasierte Verifikation wird im Rahmen dieser Arbeit die diskrete Modellierung analoger Schaltungen für zustandsraumbasierte formale Verifikationsverfahren betrachtet. Dazu wurde ein neuer Ansatz zur diskreten Modellierung entwickelt, der die Aufteilungsstruktur anhand der Trajektorien der Vektorfelddynamik bestimmt. So wird eine hohe Genauigkeit der Nachfolgerrelation ermöglicht, woraus eine niedrigere Zahl an Zuständen für ein diskretes Modell gleicher Genauigkeit im Vergleich mit dem bisherigen Stand der Technik folgt. Die Abbildung der Trajektorien-gesteuerten Partitionierung auf eine diskrete analoge Transitionsstruktur (DATS) erlaubt die Anwendung von formalen Verifikationsalgorithmen. Die formale Spezifikation von Eigenschaften in ersten Ansätzen zum Model Checking analoger Schaltungen hat sich stark an den bestehenden temporallogischen Verfahren aus dem Bereich digitaler Hardware orientiert. Ausgehend von einer Analyse digitaler Spezifikationskonzepte und der bestehenden Ansätze für analoge Eigenschaften wurden Anforderungen an eine neue Spezifikationssprache in dieser Arbeit abgeleitet. Die aus diesen Anforderungen im Rahmen dieser Arbeit entwickelte analoge Spezifikationssprache "Analog Specification Language" (ASL) basiert auf einer natürlichsprachlichen Kapselung temporallogischer Operationen, die mit erweiterten Algorithmen zur Transitionspfadbestimmung, Durchführung von Berechnungen auf Zustandsparametern und Oszillationsbestimmung eine hohe Ausdrucksstärke analoger Eigenschaften mit einer anwenderfreundlichen Syntax kombinieren konnte. Die zusammen mit ASL entwickelten Model Checking-Verifikationsalgorithmen zur Auswertung von ASL-Spezifikationen auf einem mit dem Trajektorien-gesteuerten Diskretisierungsverfahren erzeugten DATS-Modell bilden eine wesentliche Erweiterung zum Stand der Technik. Um einen Übergang der Verifikation von signalbasierten zu zustandsraumbasierten Methodiken zu ermöglichen, wurde im Rahmen dieser Arbeit ein Ansatz entwickelt, der die Übertragung von transienten Simulationsergebnissen aus nicht-formalen Testbench-Simulationsumgebungen in eine partielle DATS-Zustandsraumdarstellung ermöglicht. Damit kann, wie anhand von Beispielen gezeigt werden konnte, die gleiche ASL-Spezifikation für Eigenschaften eines vollständigen diskreten Modells ohne Modifikation auch auf Simulationsergebnissen ausgewertet werden. Ein für das formale ASL-basierte Model Checking entwickelter Ansatz zur Erzeugung von Gegenbeispielen für als spezifikationsverletzend identifizierte Zustandsraumgebiete erlaubt es, Transitionsfolgen von einem definierten Startzustand zu einem spezifikationsverletzenden Zustand zu ermitteln. Auf Basis dieses Gegenbeispiel-Verfahrens wurde eine neue formale Eigenschaftsverifikationsmethodik mittels vollständig den Zustandsraum einer Schaltung abdeckenden Eingangsstimuli entwickelt. Die vollständig den Zustandsraum abdeckenden Eingangsstimuli bieten noch eine weitere Anwendungsmöglichkeit im Bereich des Äquivalenzvergleichs. Die im Rahmen dieser Arbeit entwickelte Methodik zum formalen Äquivalenzvergleich auf Basis der vollständig den Zustandsraum abdeckenden Eingangsstimuli ersetzt die anwenderdefinierten Eingangsstimuli durch die vollständig den Zustandsraum abdeckenden. So kann die Äquivalenz für jeden möglichen Zustand der zu vergleichenden Implementierungen anhand eines automatisierten Vergleichs der Simulationsergebnisse beider Implementierungen gezeigt werden. Um die Ergebnisse der neu eingeführten formalen Verifikationsmethodiken visuell zu untersuchen wurde ein Verfahren entwickelt, das den Zustandsraum und seine Dynamik mittels eines Partikel-Simulationsansatzes visualisiert. Da die Partikel über den gesamten Zustandsraum randomisiert verteilt werden und sich dann gemäß der Vektorfelddynamik fortbewegen, kann auch hier ein Einblick in das Systemverhalten gewonnen werden, der eine weitestgehend vollständige und somit formale Repräsentation des Zustandsraums bietet. Die prototypische Implementierung der im Rahmen dieser Arbeit entwickelten formalen Verifikationsmethodiken wurde auf zahlreiche Beispielschaltungen angewendet. Die Ergebnisse für die neuen Ansätze zur diskreten Modellierung, zur Spezifikation und zu Verifikationsalgorithmen analoger Schaltungen zeigen, dass die aus diesen Ansätzen erzeugten Verifikationsmethodiken erfolgreich auf komplexe Zustandsraumstrukturen angewendet werden können

A Holistic Approach to Functional Safety for Networked Cyber-Physical Systems

Functional safety is a significant concern in today's networked cyber-physical systems such as connected machines, autonomous vehicles, and intelligent environments. Simulation is a well-known methodology for the assessment of functional safety. Simulation models of networked cyber-physical systems are very heterogeneous relying on digital hardware, analog hardware, and network domains. Current functional safety assessment is mainly focused on digital hardware failures while minor attention is devoted to analog hardware and not at all to the interconnecting network. In this work we believe that in networked cyber-physical systems, the dependability must be verified not only for the nodes in isolation but also by taking into account their interaction through the communication channel. For this reason, this work proposes a holistic methodology for simulation-based safety assessment in which safety mechanisms are tested in a simulation environment reproducing the high-level behavior of digital hardware, analog hardware, and network communication. The methodology relies on three main automatic processes: 1) abstraction of analog models to transform them into system-level descriptions, 2) synthesis of network infrastructures to combine multiple cyber-physical systems, and 3) multi-domain fault injection in digital, analog, and network. Ultimately, the flow produces a homogeneous optimized description written in C++ for fast and reliable simulation which can have many applications. The focus of this thesis is performing extensive fault simulation and evaluating different functional safety metrics, \eg, fault and diagnostic coverage of all the safety mechanisms

Implementation Aspects of a Transmitted-Reference UWB Receiver

In this paper, we discuss the design issues of an ultra wide band (UWB) receiver targeting a single-chip CMOS implementation for low data-rate applications like ad hoc wireless sensor networks. A non-coherent transmitted reference (TR) receiver is chosen because of its small complexity compared to other architectures. After a brief recapitulation of the UWB fundamentals and a short discussion on the major differences between coherent and non-coherent receivers, we discuss issues, challenges and possible design solutions. Several simulation results obtained by means of a behavioral model are presented, together with an analysis of the trade-off between performance and complexity in an integrated circuit implementation

A Modular Programmable CMOS Analog Fuzzy Controller Chip

We present a highly modular fuzzy inference analog CMOS chip architecture with on-chip digital programmability. This chip consists of the interconnection of parameterized instances of two different kind of blocks, namely label blocks and rule blocks. The architecture realizes a lattice partition of the universe of discourse, which at the hardware level means that the fuzzy labels associated to every input (realized by the label blocks) are shared among the rule blocks. This reduces the area and power consumption and is the key point for chip modularity. The proposed architecture is demonstrated through a 16-rule two input CMOS 1-μm prototype which features an operation speed of 2.5 Mflips (2.5×10^6 fuzzy inferences per second) with 8.6 mW power consumption. Core area occupation of this prototype is of only 1.6 mm 2 including the digital control and memory circuitry used for programmability. Because of the architecture modularity the number of inputs and rules can be increased with any hardly design effort.This work was supported in part by the Spanish C.I.C.Y.T under Contract TIC96-1392-C02- 02 (SIVA)

Mixed signal design flow, a mixed signal PLL case study

Mixed-signal designs are becoming more and more complex every day. In order to adapt to the new market requirements, a formal process for design and verification of mixed signal systems i. e. top-down design and bottom-up verification methodology is required. This methodology has already been established for digital design. The goal of this research is to propose a new design methodology for mixed signal systems. In the first two chapters of this thesis, the need for a mixed signal design flow based on top-down design methodology will be discussed. The proposed design flow is based on behavioral modeling of the mixed signal system using one of the mixed signal behavioral modeling languages. These models can be used for design and verification through different steps of the design from system level modeling to final physical design. The other advantage of the proposed flow is analog and digital co-design. In the remaining chapters of this thesis, the proposed design flow was verified by designing an 800 MHz mixed signal PLL. The PLL uses a charge pump phase frequency detector, a single capacitor loop filter, and a feed forward error correction architecture using an active damping control circuit instead of passive resistor in loop filter. The design was done in 0. 18- µ m CMOS process technology