58.Speech and Audio Processing by John G. Webster (Editor)

By John G. Webster (Editor)

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IEEE, 77: 1932–1953, 1989. 18. C. E. Leiserson, Fat-trees: Universal networks for hardware-efficient supercomputing, IEEE Trans. , C-34: 892–901, 1985. 19. L. M. Ni and P. K. , 26 (2): 62–76, 1993. 20. W. J. Dally, Virtual-channel flow control, IEEE Trans. Parallel Distrib. , 3: 194–205, 1992. 21. W. J. L. Seitz, Deadlock-free message routing in multiprocessor interconnection networks, IEEE Trans. , C-36: 547–553, 1987. 23. M. , Strategies for the implementation of interconnection network simulators on parallel computers, Int.

A generalized topology of a multipath indirect network is the three-stage network. This network consists of three stages of switches. Each switch box in the first and third network stages is connected to all switches in the network middle stage. A 16 ϫ 16 multipath network comprising 4 ϫ 4 switches is depicted in Fig. 5. The number of switches in the middle stage determines the number of distinct paths from each source to each destination (in Fig. 5, there are four distinct paths between any source and destination).

For all other connections, there exist multiple paths. To route a message between two nodes, the message first ascends in the network, rising to the lowest common ancestor of the source and desti- = Processor = Switch (a) (b) Figure 6. (a) Binary fat-tree network and (b) generalized fat-tree network connecting eight processors. This topology results in fast local communication, while the performance of global communication depends on the network size. INTERCONNECTION NETWORKS FOR PARALLEL COMPUTERS nation, and then descends to the destination.

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