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Title: Efficient implementation of multidimensional fast fourier transform on a distributed-memory parallel multi-node computer

Patent ·
OSTI ID:1035037
 [1];  [2];  [3];  [4];  [5];  [3];  [6]
  1. Princeton, NJ
  2. Croton-On-Hudson, NY
  3. Mount Kisco, NY
  4. Irvington, NY
  5. Cortlandt Manor, NY
  6. Bedford Hills, NY
+ Show Author Affiliations

The present in invention is directed to a method, system and program storage device for efficiently implementing a multidimensional Fast Fourier Transform (FFT) of a multidimensional array comprising a plurality of elements initially distributed in a multi-node computer system comprising a plurality of nodes in communication over a network, comprising: distributing the plurality of elements of the array in a first dimension across the plurality of nodes of the computer system over the network to facilitate a first one-dimensional FFT; performing the first one-dimensional FFT on the elements of the array distributed at each node in the first dimension; re-distributing the one-dimensional FFT-transformed elements at each node in a second dimension via "all-to-all" distribution in random order across other nodes of the computer system over the network; and performing a second one-dimensional FFT on elements of the array re-distributed at each node in the second dimension, wherein the random order facilitates efficient utilization of the network thereby efficiently implementing the multidimensional FFT. The "all-to-all" re-distribution of array elements is further efficiently implemented in applications other than the multidimensional FFT on the distributed-memory parallel supercomputer.

Research Organization:
Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
Sponsoring Organization:
USDOE
DOE Contract Number:
W-7405-ENG-48
Assignee:
International Business Machines Corporation (Armonk, NY)
Patent Number(s):
8,095,585
Application Number:
11/931,898
OSTI ID:
1035037
Country of Publication:
United States
Language:
English

References (2)

Packet Routing in Fixed-Connection Networks: A Survey journal November 1998
Methods for message routing in parallel machines conference January 1992

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97 MATHEMATICS AND COMPUTING