Título:
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A study of the communication cost of the FFT on torus multicomputers
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Autor/a:
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Díaz de Cerio Ripalda, Luis Manuel; Valero García, Miguel; González Colás, Antonio María
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Otros autores:
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Universitat Politècnica de Catalunya. Departament d'Arquitectura de Computadors; Universitat Politècnica de Catalunya. CAP - Grup de Computació d'Altes Prestacions; Universitat Politècnica de Catalunya. ARCO - Microarquitectura i Compiladors |
Abstract:
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The computation of a one-dimensional FFT on a c-dimensional torus multicomputer is analyzed. Different approaches are proposed which differ in the way they use the interconnection network. The first approach is based on the multidimensional index mapping technique for the FFT computation. The second approach starts from a hypercube algorithm and then embeds the hypercube onto the torus. The third approach reduces the communication cost of the hypercube algorithm by pipelining the communication operations. A novel methodology to pipeline the communication operations on a torus is proposed. Analytical models are presented to compare the different approaches. This comparison study shows that the best approach depends on the number of dimensions of the torus and the communication start-up and transfer times. The analytical models allow us to select the most efficient approach for the available machine. |
Abstract:
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Peer Reviewed |
Materia(s):
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-Àrees temàtiques de la UPC::Informàtica::Arquitectura de computadors -Multiprocessors -Parallel processing (Electronic computers) -Communication complexity -Distributed memory systems -Fast Fourier transforms -Message passing -Multiprocessor interconnection networks -Parallel algorithms -Pipeline processing -Multiprocessadors -Processament en paral·lel (Ordinadors) |
Derechos:
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Tipo de documento:
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Artículo - Versión publicada Objeto de conferencia |
Editor:
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Institute of Electrical and Electronics Engineers (IEEE)
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