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  5. A Sine Transform Algorithm for the Hypercube

A Sine Transform Algorithm for the Hypercube

File(s)
87-825.pdf (1.68 MB)
87-825.ps (352.18 KB)
Permanent Link(s)
https://hdl.handle.net/1813/6665
Collections
Computer Science Technical Reports
Author
Chu, Clare
Abstract

A new sine transform algorithm is presented where the pre-and post-processing steps are amenable to implementation on the hypercube parallel computer. Interprocessor communication is minimized at the expense of some redundant computations resulting in an algorithm with almost linear speedup against the conventional sequential algorithm. The transforms for both naturally ordered input and bit-reversed input can be processed, thereby avoiding the communication overhead needed to either run an autosort algorithm or to unscramble the results by performing a bit-reversed permutation about $O(d)$ parallel transmissions on hypercubes of dimension $d$.

Date Issued
1987-03
Publisher
Cornell University
Keywords
computer science
•
technical report
Previously Published as
http://techreports.library.cornell.edu:8081/Dienst/UI/1.0/Display/cul.cs/TR87-825
Type
technical report

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