Abstract
In this paper, the mathematical theory of Recursive Folding for Processor Arrays is developed. The new theory shows that a ofold increase in efficiency of c-periodic (C=2) systolic arrays, obtained by the data dependence method, is achieved. Using c-times less processors than the original array, the new folded array is totally homogeneous and performs the algorithm in T{ot time steps, 7of < T{ot 7;ot + 2{c — 1), where Ttot is the time complexity of the original array. In the case of linear arrays, a new type of array named Switched Unidirectional Linear Array (SULA) is obtained that saves up to 50% of the communication links of the original Bidirectional Linear Array (BLA) in a special case.
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* Institue for informatics, Slovk Academy of Science,Bratislava and Nuclear Power Plant Reserch Institute, Trnava, Slovakia
†Funded by Royal Society Fellowship Scheme
* Institue for informatics, Slovk Academy of Science,Bratislava and Nuclear Power Plant Reserch Institute, Trnava, Slovakia
†Funded by Royal Society Fellowship Scheme
Notes
* Institue for informatics, Slovk Academy of Science,Bratislava and Nuclear Power Plant Reserch Institute, Trnava, Slovakia
†Funded by Royal Society Fellowship Scheme