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We present an out-of-core FFT algorithm based on the in-core FFT
method developed by Swarztrauber. Our algorithm uses a recursive
divide-and-conquer strategy, and each stage in the recursion presents
several possibilities for how to split the problem into subproblems.
We give a recurrence for the algorithm's I/O complexity on the
Parallel Disk Model and show how to use dynamic programming to
determine optimal splits at each recursive stage. The algorithm to
determine the optimal splits takes only Theta(lg^2 N) time for an
N-point FFT, and it is practical. The out-of-core FFT algorithm
itself takes considerably longer.
Also appeared in Proceedings of the Workshop on Algorithms for Parallel
Machines, 1996-97 Special Year on Mathematics of High Performance
Computing, Institute for Mathematics and Its Applications, University
of Minnesota, Minneapolis, September 1996.
Bibliographic citation for this report: [plain text] [BIB] [BibTeX] [Refer]
Or copy and paste:
Thomas H. Cormen, "Determining an Out-of-Core FFT Decomposition Strategy for Parallel Disks by Dynamic Programming." Dartmouth Computer Science Technical Report PCS-TR97-322, July 1997.
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