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8.6 Message-Based Architectures                                      373


























              Figure 8.18 Square mesh            Figure 8.19 Boolean cubes




        are controlled by the ith bit of the binary tag. The self-routing property of an MICN
        avoids the need for a central controller, making it suitable for multiprocessors.
            Figure 8.21 shows two interconnection networks of the tree type. In the binary
        trees with N processors, a processor can be accessed in at most log2(AO time com-
        pared to a one-dimensional array, O(N), and O( JN) for a rectangular array.
            The number of processors available in a tree increases exponentially at each
        level. If a problem being solved has this growth pattern, then tree geometry may
        be suitable. FFTs are suitable for implementation using a massively parallel
        approach with 2^ PEs arranged in a hypercube where N is the length of the
        sequence.

























              Figure 8.20 An eight-port omega network. Input 3 is connected to output 5
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