Tutorial 5

Tutorial 5 - IERG4020 Tutorial 5 FENG Shen 1 REVIEW &...

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IERG4020 Tutorial 5 FENG Shen 1
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REVIEW & EXERCISE 2
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Batcher-banyan network A N x N Batcher-banyan network is constructed by a N x N Batcher bitonic sorting network & a N x N banyan network . 3
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Bitonic sorting network 4 Four 2-bitonic sorters Two 4-bitonic sorters One 8-bitonic sorter Structure of a bitonic sorter Structure of a bitonic sorting network • An 8x8 bitonic sorting network:
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Banyan networks An 8 x 8 banyan network: 5 banyan network * Not internally nonblocking * Unique path from input to output * log 2 N stages 000 001 010 011 100 101 110 111 000 001 010 100 101 4x4 banyan network 2x2 banyan network (crosspoint) 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 Note the connection
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Problem 3.14 Consider an 8 x 8 Batcher-banyan switch with input packets as depicted in Fig. 3.40. a) Draw the 8 x 8 Batcher bitonic sorting network and show how the paths taken by the input packets. 6 001 101 100 i 100 000 i i 000 111 001 010 011 100 101 110 Idle input Output address of a packet Output Sorting network Banyan network 88 FIGURE 3.40 A set of input packets for a sort-banyan network
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Problem 3.14 First we draw the network: 7 Note that the 4 outputs of the 4x4 network are connected to 4 different comparators 4x4 bitonic sorting network 2x2 bitonic sorting network (a comparator)
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Problem 3.14
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This note was uploaded on 12/08/2010 for the course IEG IEG4020 taught by Professor Fengshen during the Spring '10 term at CUHK.

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Tutorial 5 - IERG4020 Tutorial 5 FENG Shen 1 REVIEW &...

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