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Paper Abstract and Keywords
Presentation 2008-03-10 11:00
An implementation and improvement of the sampling algorithm for digesting Fourier representations
Masashi Yagitani, Yoshinori Takei (Nagaoka Univ. Tech.) COMP2007-58
Abstract (in Japanese) (See Japanese page) 
(in English) A few frequency components of largest energy of a signal is useful as a digest data representing a feature of the signal. In 2002, Gilbert etal. proposed a probabilistic algorithm which samples the signal points at random and estimates $B \ll N$ Fourier coefficients of the largest energy of the signal. The computational complexity depends on $N$
polylogarithmically. In 2005, Zou etal. presented an improved version of the algorithm as well as an implementation reporting that it is more efficient than FFT when 8 major Fourier coefficients should be found from the signal of 100000 points or more. For practical use of these algorithms, called RAlSFA (Randomized Algorithm for Sparse Fourier transform Analysis), a detailed research on the influence of the selection of various paramters on the running-time or the accuracy is necessary.
In this report, we give an implementation of RAlSFA to do the datailed research. Especially, it is proposed to change the boxcar filter in Identification step (a process that identifies the major frequency) to the Equiripple filter. An example of run is shown, in which the proposed method has the success probability of Identification that is higher by 15 percentage points than the original method, with the same number of sampling points and about 1\% longer running time.
Keyword (in Japanese) (See Japanese page) 
(in English) Fourier analysis / sublinear-time algorithms / randomized algorihms, / digesting data / / / /  
Reference Info. IEICE Tech. Rep., vol. 107, no. 537, COMP2007-58, pp. 23-30, March 2008.
Paper # COMP2007-58 
Date of Issue 2008-03-03 (COMP) 
ISSN Print edition: ISSN 0913-5685    Online edition: ISSN 2432-6380
Copyright
and
reproduction		 All rights are reserved and no part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopy, recording, or any information storage and retrieval system, without permission in writing from the publisher. Notwithstanding, instructors are permitted to photocopy isolated articles for noncommercial classroom use without fee. (License No.: 10GA0019/12GB0052/13GB0056/17GB0034/18GB0034)
Download PDF COMP2007-58

Conference Information
Committee COMP  
Conference Date 2008-03-10 - 2008-03-10 
Place (in Japanese) (See Japanese page) 
Place (in English)  
Topics (in Japanese) (See Japanese page) 
Topics (in English)  
Paper Information
Registration To COMP 
Conference Code 2008-03-COMP 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) An implementation and improvement of the sampling algorithm for digesting Fourier representations 
Sub Title (in English)  
Keyword(1) Fourier analysis  
Keyword(2) sublinear-time algorithms  
Keyword(3) randomized algorihms,  
Keyword(4) digesting data  
Keyword(5)  
Keyword(6)  
Keyword(7)  
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1st Author's Name Masashi Yagitani  
1st Author's Affiliation Nagaoka University of Technology (Nagaoka Univ. Tech.)
2nd Author's Name Yoshinori Takei  
2nd Author's Affiliation Nagaoka University of Technology (Nagaoka Univ. Tech.)
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Speaker Author-1 
Date Time 2008-03-10 11:00:00 
Presentation Time 25 minutes 
Registration for COMP 
Paper # COMP2007-58 
Volume (vol) vol.107 
Number (no) no.537 
Page pp.23-30 
#Pages 8 
Date of Issue 2008-03-03 (COMP) 

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