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Bitonic Sorting on Superposed Parallel Buses

Report ID:
October 1986
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The paper develops time complexity measures, including constants, for bitonic sorting on non-partitionable and partitionable buses, in both linear and two dimensional cases. The P processing elements, which share the time multiplexed buses, have a single input port and single output port which are connected
to the buses. The bus bandwidth, B, represented by the number of bus cycles per processor cycle, is a parameter of the model. This parameter can alternately be viewed as the number of parallel buses having one bus cycle per processor cycle. The routing over the buses is based on an optimal data movement for
bitonic merge on a linear bus. For the two dimensional case, the execution time is close to optimal in terms of VLSI complexity.

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