Modifications of an Asynchronous Ring Arbiter

Some modifications of an asynchronous ring arbiter are proposed. This arbiter is composed of a chain of cells. Each cell has one to one correspondence to a device. In the chain, there exists only one privilege to arbitrate conflicts of requests from many devices. A class of modifications is high speed arbiters, obtained by increasing the number of connecting wires between two adjacent cells. As the results, the time required for the privilege to pass through a cell decreases by about one-half compared with the original arbiter. Another class of modifications is arbiters with priority rules. They are obtained by adding a few hardware to the original arbiter. The priority order of request acknowledgements in all the cells is specified. Using above modifications, conflicts of requests in many digital systems may be feasibly arbitrated

Multi-resource approach to asynchronous SoC : design and tool support

As silicon cost reduces, the demands for higher performance and lower power consumption are ever increasing. The ability to dynamically control the number of resources employed can help balance and optimise a system in terms of its throughput, power consumption, and resilience to errors. The management of multiple resources requires building more advanced resource allocation logic than traditional 1-of-N arbiters posing the need for the efficient design flow supporting both the design and verification of such systems. Networks-on-Chip provide a good application example of distributed arbitration, in which the processor cores needing to transmit data are the clients; and the point-to-point links are the resources managed by routers. Building fast and smart arbiters can greatly benefit such systems in providing efficient and reliable communication service. In this thesis, a multi-resource arbiter was developed based on the Signal Transition Graph (STG) development flow. The arbiter distributes multiple active interchangeable resources that initiate requests when they are ready to be used. It supports concurrent resource utilization, which benefits creating asynchronous Multiple-Input-Multiple- Output (MIMO) queues. In order to deal with designs of higher complexity, an arbiter-oriented design flow is proposed. The flow is based on digital circuit components that are represented internally as STGs. This allows designing circuits without directly working with STGs but allowing their use for synthesis and formal verification. The interfaces for modelling, simulation, and visual model representation of the flow were implemented based on the existing modelling framework. As a result, the verification phase of the flow has helped to find hazards in existing Priority arbiter implementations. Finally, based on the logic-gate flow, the structure of a low-latency general purpose arbiter was developed. This design supports a wide variety of arbitration problems including the multi-resource management, which can benefit building NoCs employing complex and adaptive routing techniques.EThOS - Electronic Theses Online ServiceEPSRC grant GR/E044662/1 (STEP)GBUnited Kingdo

Multiple Bus Networks for Binary -Tree Algorithms.

Multiple bus networks (MBN) connect processors via buses. This dissertation addresses issues related to running binary-tree algorithms on MBNs. These algorithms are of a fundamental nature, and reduce inputs at leaves of a binary tree to a result at the root. We study the relationships between running time, degree (maximum number of connections per processor) and loading (maximum number of connections per bus). We also investigate fault-tolerance, meshes enhanced with MBNs, and VLSI layouts for binary-tree MBNs. We prove that the loading of optimal-time, degree-2, binary-tree MBNs is non-constant. In establishing this result, we derive three loading lower bounds Wn , W&parl0;n23&parr0; and W&parl0;nlogn&parr0; , each tighter than the previous one. We also show that if the degree is increased to 3, then the loading can be a constant. A constant loading degree-2 MBN exists, if the algorithm is allowed to run slower than the optimal. We introduce a new enhanced mesh architecture (employing binary-tree MBNs) that captures features of all existing enhanced meshes. This architecture is more flexible, allowing all existing enhanced mesh results to be ported to a more implementable platform. We present two methods for imparting tolerance to bus and processor faults in binary-tree MBNs. One of the methods is general, and can be used with any MBN and for both processor and bus faults. A key feature of this method is that it permits the network designer to designate a set of buses as unimportant and consider all faulty buses as unimportant. This minimizes the impact of faulty elements on the MBN. The second method is specific to bus faults in binary-tree MBNs, whose features it exploits to produce faster solutions. We also derive a series of results that distill the lower bound on the perimeter layout area of optimal-time, binary-tree MBNs to a single conjecture. Based on this we believe that optimal-time, binary-tree MBNs require no less area than a balanced tree topology even though such MBNs can reuse buses over various steps of the algorithm

Combinatorial Design and Analysis of Optimal Multiple Bus Systems for Parallel Algorithms.

This dissertation develops a formal and systematic methodology for designing optimal, synchronous multiple bus systems (MBSs) realizing given (classes of) parallel algorithms. Our approach utilizes graph and group theoretic concepts to develop the necessary model and procedural tools. By partitioning the vertex set of the graphical representation CFG of the algorithm, we extract a set of interconnection functions that represents the interprocessor communication requirement of the algorithm. We prove that the optimal partitioning problem is NP-Hard. However, we show how to obtain polynomial time solutions by exploiting certain regularities present in many well-behaved parallel algorithms. The extracted set of interconnection functions is represented by an edge colored, directed graph called interconnection function graph (IFG). We show that the problem of constructing an optimal MBS to realize an IFG is NP-Hard. We show important special cases where polynomial time solutions exist. In particular, we prove that polynomial time solutions exist when the IFG is vertex symmetric. This is the case of interest for the vast majority of important interconnection function sets, whether extracted from algorithms or correspond to existing interconnection networks. We show that an IFG is vertex symmetric if and only if it is the Cayley color graph of a finite group $\Gamma$ and its generating set $\Delta.$ Using this property, we present a particular scheme to construct a symmetric $MBS\ M(\Gamma,\Delta)$ with minimum number of buses as well as minimum number of interfaces realizing a vertex symmetric IFG. We demonstrate several advantages of the optimal $MBS\ M(\Gamma,\Delta)$ in terms of its symmetry, number of ports per processor, number of neighbors per processor, and the diameter. We also investigate the fault tolerant capabilities and performance degradation of $M(\Gamma,\Delta)$ in the case of a single bus failure, single driver failure, single receiver failure, and single processor failure. Further, we address the problem of designing an optimal MBS realizing a class of algorithms when the number of buses and/or processors in the target MBS are specified. The optimality criteria are maximizing the speed and minimizing the number of interfaces