Circuit simulation using distributed waveform relaxation techniques

Simulation plays an important role in the design of integrated circuits. Due to high costs and large delays involved in their fabrication, simulation is commonly used to verify functionality and to predict performance before fabrication. This thesis describes analysis, implementation and performance evaluation of a distributed memory parallel waveform relaxation technique for the electrical circuit simulation of MOS VLSI circuits. The waveform relaxation technique exhibits inherent parallelism due to the partitioning of a circuit into a number of sub-circuits. These subcircuits can be concurrently simulated on parallel processors. Different forms of parallelism in the direct method and the waveform relaxation technique are studied. An analysis of single queue and distributed queue approaches to implement parallel waveform relaxation on distributed memory machines is performed and their performance implications are studied. The distributed queue approach selected for exploiting the coarse grain parallelism across sub-circuits is described. Parallel waveform relaxation programs based on Gauss-Seidel and Gauss-Jacobi techniques are implemented using a network of eight Transputers. Static and dynamic load balancing strategies are studied. A dynamic load balancing algorithm is developed and implemented. Results of parallel implementation are analyzed to identify sources of bottlenecks. This thesis has demonstrated the applicability of a low cost distributed memory multi-computer system for simulation of MOS VLSI circuits. Speed-up measurements prove that a five times improvement in the speed of calculations can be achieved using a full window parallel Gauss-Jacobi waveform relaxation algorithm. Analysis of overheads shows that load imbalance is the major source of overhead and that the fraction of the computation which must be performed sequentially is very low. Communication overhead depends on the nature of the parallel architecture and the design of communication mechanisms. The run-time environment (parallel processing framework) developed in this research exploits features of the Transputer architecture to reduce the effect of the communication overhead by effectively overlapping computation with communications, and running communications processes at a higher priority. This research will contribute to the development of low cost, high performance workstations for computer-aided design and analysis of VLSI circuits

FDSOI Design using Automated Standard-Cell-Grained Body Biasing

With the introduction of FDSOI processes at competitive technology nodes, body biasing on an unprecedented scale was made possible. Body biasing influences one of the central transistor characteristics, the threshold voltage. By being able to heighten or lower threshold voltage by more than 100mV, the very physics of transistor switching can be manipulated at run time. Furthermore, as body biasing does not lead to different signal levels, it can be applied much more fine-grained than, e.g., DVFS. With the state of the art mainly focused on combinations of body biasing with DVFS, it has thus ignored granularities unfeasible for DVFS. This thesis fills this gap by proposing body bias domain partitioning techniques and for body bias domain partitionings thereby generated, algorithms that search for body bias assignments. Several different granularities ranging from entire cores to small groups of standard cells were examined using two principal approaches: Designer aided pre-partitioning based determination of body bias domains and a first-time, fully automatized, netlist based approach called domain candidate exploration. Both approaches operate along the lines of activation and timing of standard cell groups. These approaches were evaluated using the example of a Dynamically Reconfigurable Processor (DRP), a highly efficient category of reconfigurable architectures which consists of an array of processing elements and thus offers many opportunities for generalization towards many-core architectures. Finally, the proposed methods were validated by manufacturing a test-chip. Extensive simulation runs as well as the test-chip evaluation showed the validity of the proposed methods and indicated substantial improvements in energy efficiency compared to the state of the art. These improvements were accomplished by the fine-grained partitioning of the DRP design. This method allowed reducing dynamic power through supply voltage levels yielding higher clock frequencies using forward body biasing, while simultaneously reducing static power consumption in unused parts.Die Einführung von FDSOI Prozessen in gegenwärtigen Prozessgrößen ermöglichte die Nutzung von Substratvorspannung in nie zuvor dagewesenem Umfang. Substratvorspannung beeinflusst unter anderem eine zentrale Eigenschaft von Transistoren, die Schwellspannung. Mittels Substratvorspannung kann diese um mehr als 100mV erhöht oder gesenkt werden, was es ermöglicht, die schiere Physik des Schaltvorgangs zu manipulieren. Da weiterhin hiervon der Signalpegel der digitalen Signale unberührt bleibt, kann diese Technik auch in feineren Granularitäten angewendet werden, als z.B. Dynamische Spannungs- und Frequenz Anpassung (Engl. Dynamic Voltage and Frequency Scaling, Abk. DVFS). Da jedoch der Stand der Technik Substratvorspannung hauptsächlich in Kombinationen mit DVFS anwendet, werden feinere Granularitäten, welche für DVFS nicht mehr wirtschaftlich realisierbar sind, nicht berücksichtigt. Die vorliegende Arbeit schließt diese Lücke, indem sie Partitionierungsalgorithmen zur Unterteilung eines Entwurfs in Substratvorspannungsdomänen vorschlägt und für diese hierdurch unterteilten Domänen entsprechende Substratvorspannungen berechnet. Hierzu wurden verschiedene Granularitäten berücksichtigt, von ganzen Prozessorkernen bis hin zu kleinen Gruppen von Standardzellen. Diese Entwürfe wurden dann mit zwei verschiedenen Herangehensweisen unterteilt: Chipdesigner unterstützte, vorpartitionierungsbasierte Bestimmung von Substratvorspannungsdomänen, sowie ein erstmals vollautomatisierter, Netzlisten basierter Ansatz, in dieser Arbeit Domänen Kandidaten Exploration genannt. Beide Ansätze funktionieren nach dem Prinzip der Aktivierung, d.h. zu welchem Zeitpunkt welcher Teil des Entwurfs aktiv ist, sowie der Signallaufzeit durch die entsprechenden Entwurfsteile. Diese Ansätze wurden anhand des Beispiels Dynamisch Rekonfigurierbarer Prozessoren (DRP) evaluiert. DRPs stellen eine Klasse hocheffizienter rekonfigurierbarer Architekturen dar, welche hauptsächlich aus einem Feld von Rechenelementen besteht und dadurch auch zahlreiche Möglichkeiten zur Verallgemeinerung hinsichtlich Many-Core Architekturen zulässt. Schließlich wurden die vorgeschlagenen Methoden in einem Testchip validiert. Alle ermittelten Ergebnisse zeigen im Vergleich zum Stand der Technik drastische Verbesserungen der Energieeffizienz, welche durch die feingranulare Unterteilung in Substratvorspannungsdomänen erzielt wurde. Hierdurch konnten durch die Anwendung von Substratvorspannung höhere Taktfrequenzen bei gleicher Versorgungsspannung erzielt werden, während zeitgleich in zeitlich unkritischen oder ungenutzten Entwurfsteilen die statische Leistungsaufnahme minimiert wurde

Public key cryptosystems : theory, application and implementation

The determination of an individual's right to privacy is mainly a nontechnical matter, but the pragmatics of providing it is the central concern of the cryptographer. This thesis has sought answers to some of the outstanding issues in cryptography. In particular, some of the theoretical, application and implementation problems associated with a Public Key Cryptosystem (PKC).The Trapdoor Knapsack (TK) PKC is capable of fast throughput, but suffers from serious disadvantages. In chapter two a more general approach to the TK-PKC is described, showing how the public key size can be significantly reduced. To overcome the security limitations a new trapdoor was described in chapter three. It is based on transformations between the radix and residue number systems.Chapter four considers how cryptography can best be applied to multi-addressed packets of information. We show how security or communication network structure can be used to advantage, then proposing a new broadcast cryptosystem, which is more generally applicable.Copyright is traditionally used to protect the publisher from the pirate. Chapter five shows how to protect information when in easily copyable digital format.Chapter six describes the potential and pitfalls of VLSI, followed in chapter seven by a model for comparing the cost and performance of VLSI architectures. Chapter eight deals with novel architectures for all the basic arithmetic operations. These architectures provide a basic vocabulary of low complexity VLSI arithmetic structures for a wide range of applications.The design of a VLSI device, the Advanced Cipher Processor (ACP), to implement the RSA algorithm is described in chapter nine. It's heart is the modular exponential unit, which is a synthesis of the architectures in chapter eight. The ACP is capable of a throughput of 50 000 bits per second