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Paper Abstract and Keywords
Presentation 2009-12-08 09:25
Rounding Error Reduction of Integer DCT utilizing Structure of Permutation Groups on Order and Sign of Signals
Wataru Otake, Masahiro Iwahashi (Nagaoka Univ. of Tech.) CS2009-61 IE2009-125
Abstract (in Japanese) (See Japanese page) 
(in English) In case of a two point rotation transform (RT), which is a component of the discrete cosine transform (DCT), is implemented in lifting structure, its multiplier coefficient has a singular point. Therefore, the coefficient value becomes close to infinity near the singular point depending on its rotation angle. As a result, rounding errors inside the transform are extremely amplified by such coefficients. In this report, we introduce permutation of order and sign of input and output signals of RT to shift the singular point. In this case, RT can be implemented with one of some candidates. Therefore, there exists the best combination of the candidates such that the error of the DCT becomes the minimum. We determine it utilizing structure of group of the permutations, comprehensively and efficiently. We confirmed that the error was reduced in Chen's DCT.
Keyword (in Japanese) (See Japanese page) 
(in English) DCT / singular point / error / lifting / / / /  
Reference Info. IEICE Tech. Rep., vol. 109, no. 323, IE2009-125, pp. 59-63, Dec. 2009.
Paper # IE2009-125 
Date of Issue 2009-11-30 (CS, IE) 
ISSN Print edition: ISSN 0913-5685    Online edition: ISSN 2432-6380
Copyright
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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)
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Conference Information
Committee IPSJ-AVM CS IE ITE-BCT  
Conference Date 2009-12-07 - 2009-12-08 
Place (in Japanese) (See Japanese page) 
Place (in English) Nagoya Univ. 
Topics (in Japanese) (See Japanese page) 
Topics (in English) Image Coding, Streaming 
Paper Information
Registration To IE 
Conference Code 2009-12-AVM-CS-IE-BCT 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Rounding Error Reduction of Integer DCT utilizing Structure of Permutation Groups on Order and Sign of Signals 
Sub Title (in English)  
Keyword(1) DCT  
Keyword(2) singular point  
Keyword(3) error  
Keyword(4) lifting  
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1st Author's Name Wataru Otake  
1st Author's Affiliation Nagaoka University of Technology (Nagaoka Univ. of Tech.)
2nd Author's Name Masahiro Iwahashi  
2nd Author's Affiliation Nagaoka University of Technology (Nagaoka Univ. of Tech.)
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Speaker Author-1 
Date Time 2009-12-08 09:25:00 
Presentation Time 25 minutes 
Registration for IE 
Paper # CS2009-61, IE2009-125 
Volume (vol) vol.109 
Number (no) no.322(CS), no.323(IE) 
Page pp.59-63 
#Pages
Date of Issue 2009-11-30 (CS, IE) 


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