Unifying mesh- and tree-based programmable interconnect

We examine the traditional, symmetric, Manhattan mesh design for field-programmable gate-array (FPGA) routing along with tree-of-meshes (ToM) and mesh-of-trees (MoT) based designs. All three networks can provide general routing for limited bisection designs (Rent's rule with p<1) and allow locality exploitation. They differ in their detailed topology and use of hierarchy. We show that all three have the same asymptotic wiring requirements. We bound this tightly by providing constructive mappings between routes in one network and routes in another. For example, we show that a (c,p) MoT design can be mapped to a (2c,p) linear population ToM and introduce a corner turn scheme which will make it possible to perform the reverse mapping from any (c,p) linear population ToM to a (2c,p) MoT augmented with a particular set of corner turn switches. One consequence of this latter mapping is a multilayer layout strategy for N-node, linear population ToM designs that requires only /spl Theta/(N) two-dimensional area for any p when given sufficient wiring layers. We further show upper and lower bounds for global mesh routes based on recursive bisection width and show these are within a constant factor of each other and within a constant factor of MoT and ToM layout area. In the process we identify the parameters and characteristics which make the networks different, making it clear there is a unified design continuum in which these networks are simply particular regions

Аналіз характеристик ієрархічних протоколів маршрутизації бездротових сенсорних мереж

Розглядаються характеристики популярних "ієрархічних" протоколів маршрутизації безпровідних сенсорних мереж, в яких вузли групуються за досяжністю в кластери, центри яких в основному приймають участь в маршрутизації повідомлень. Аналізуються існуючі протоколи обміну даних та час функціонування мережі.Descriptions of popular «hierarchical» protocols of routing of off-wire sensory networks, in which knots form a group after reach in clusters the centers of which mainly take part in routing of messages, are examined. Existent protocols of exchange of information and time of functioning of network are analysed

A new partitioning approach for layout synthesis from register-transfer netlists

Most of the IC today are described and documented using heiarchical netlists. In addition to gates, latches, and flip-flops, these netlists include sliceable register-transfer components such as registers, counters, adders, ALUs, shifters, register files, and multiplexers. Usually, these components are decomposed into basic gates, latches, and flip-flops, and are laid out using standard cells. The standard cell architecture requires excessive routing area, and does not exploit the bit-sliced nature of register-transfer components. In this paper, we present a new sliced-layout architecture to alleviate the preceding problems. We also describe partitioning algorithms that are used to generate the floorplan for this layout architecture. The partitioning algorithms not only select the best suited layout style for each component, but also consider critical paths, I/O pin locations, and connections between blocks. This approach improves the overall area utilization and minimizes the total wire length

The impact of traffic localisation on the performance of NoCs for very large manycore systems

The scaling of semiconductor technologies is leading to processors with increasing numbers of cores. The adoption of Networks-on-Chip (NoC) in manycore systems requires a shift in focus from computation to communication, as communication is fast becoming the dominant factor in processor performance. In large manycore systems, performance is predicated on the locality of communication. In this work, we investigate the performance of three NoC topologies for systems with thousands of processor cores under two types of localised traffic. We present latency and throughput results comparing fat quadtree, concentrated mesh and mesh topologies under different degrees of localisation. Our results, based on the ITRS physical data for 2023, show that the type and degree of localisation of traffic significantly affects the NoC performance, and that scale-invariant topologies perform worse than flat topologies

Shortest path routing algorithm for hierarchical interconnection network-on-chip

Interconnection networks play a significant role in efficient on-chip communication for multicore systems. This paper introduces a new interconnection topology called the Hierarchical Cross Connected Recursive network (HCCR) and a shortest path routing algorithm for the HCCR. Proposed topology offers a high degree of regularity, scalability, and symmetry with a reduced number of links and node degree. A unique address encoding scheme is proposed for hierarchical graphical representation of HCCR networks, and based on this scheme a shortest path routing algorithm is devised. The algorithm requires 5(k-1) time where k=logn4-2 and k&gt;0, in worst case to determine the next node along the shortest path

Lowest common ancestor interconnection networks

Lowest Common Ancestor (LCA) networks are built using switches capable of connecting u + d inputs/outputs in a permutation pattern. For n source nodes and I stages of switches, n/d switches are used in stage l - n/d - u/d in stage l - 2, and in general , n-u^l-i-l/d^l-i switches in stage i. The resulting hierarchical structure possesses interesting connectivity and permutational properties. A full characterization of LCA networks is presented together with a permutation routing algorithm for a family of LCA networks. The algorithm uses the network itself to collect and disseminate information about the permutation. A schedule of O(dp log_d/u n) passes is obtained with a switch set-up cost factor of O(log_d/u n) (p is the minimum number of passes that an algorithm with global knowledge schedules)

Interconnect research influenced

This article shows that Rent's rule can be viewed as a fundamental law of nature with respect to electronic circuits. As there are many interpretations of the rule, this article will shed some light on the core of Rent's rule and the research that has been built on it

A parallel algorithm for global routing

A Parallel Hierarchical algorithm for Global Routing (PHIGURE) is presented. The router is based on the work of Burstein and Pelavin, but has many extensions for general global routing and parallel execution. Main features of the algorithm include structured hierarchical decomposition into separate independent tasks which are suitable for parallel execution and adaptive simplex solution for adding feedthroughs and adjusting channel heights for row-based layout. Alternative decomposition methods and the various levels of parallelism available in the algorithm are examined closely. The algorithm is described and results are presented for a shared-memory multiprocessor implementation