Dartmouth College Computer Science Technical Report series	CS home TR home TR search TR listserv
By author:	A B C D E F G H I J K L M N O P Q R S T U V W X Y Z
By number:	2012, 2011, 2010, 2009, 2008, 2007, 2006, 2005, 2004, 2003, 2002, 2001, 2000, 1999, 1998, 1997, 1996, 1995, 1994, 1993, 1992, 1991, 1990, 1989, 1988, 1987, 1986

Abstract: Recently developed fast cosine transform (FCT) algorithms require fewer operations than any other known general algorithm. Similar to related fast transform algorithms (e.g., the FFT), these algorithms permute the data before, during, or after the computation of the transform. The choice of this permutation may be an important consideration in reducing the complexity of the permutation algorithm. In this paper, we derive the complexity to generate the permutation mappings used in these FCT algorithms for power-of-2 data sets by representing them as linear index transformations and translating them into combinational circuits. Moreover, we show that one of these permutations not only allows efficient implementation, but is also self-invertible, i.e., we can use the same circuit to generate the permutation mapping for both the fast cosine transform and its inverse, like the bit-reversal permutation used by FFT algorithms. These results may be useful to designers of low-level algorithms for implementing fast cosine transforms.

Bibliographic citation for this report: [plain text] [BIB] [BibTeX] [Refer]

Or copy and paste:
   Sean S. B. Moore and Leonard F. Wisniewski, "Complexity Analysis of Two Permutations Used by Fast Cosine Transform Algorithms ." Dartmouth Computer Science Technical Report PCS-TR95-266, October 1995.

Notify me about new tech reports.

Search the technical reports.

To receive paper copy of a report, by mail, send your address and the TR number to reports AT cs.dartmouth.edu

Copyright notice: The documents contained in this server are included by the contributing authors as a means to ensure timely dissemination of scholarly and technical work on a non-commercial basis. Copyright and all rights therein are maintained by the authors or by other copyright holders, notwithstanding that they have offered their works here electronically. It is understood that all persons copying this information will adhere to the terms and constraints invoked by each author's copyright. These works may not be reposted without the explicit permission of the copyright holder.

Technical reports collection maintained by David Kotz.