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 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) |
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CS2009-61 IE2009-125 |
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) |
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DCT |
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singular point |
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error |
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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 |
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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 |
5 |
Date of Issue |
2009-11-30 (CS, IE) |
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