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Paper Abstract and Keywords
Presentation 2008-01-24 11:35
Discrete Fourier transform for non-ideal sampling devices
Akira Hirabayashi (Yamaguchi Univ.) SIP2007-138 RCS2007-141
Abstract (in Japanese) (See Japanese page) 
(in English) We propose the discrete Fourier transform for measurements
obtained by non-ideal sampling devices, called DFTG.
We show that DFTG is computed by the original DFT followed by
an extra computation for an $N\times N$ matrix,
where $N$ is the number of measurements.
Based on this result, we derive an upper bound
for an error that arises if we simply apply the classical DFT to non-ideal measurements.
DFTG requires an $O(N^2)$ computation in general.
However, if the extra matrix is diagonal, DFTG is computed by a computation
of $O(N\log N)$. We call DFTG with a diagonal extra matrix FFTG.
We derive necessary and sufficient conditions for the diagonality.
As an example, we derive FFTG when sampling pulse is given by B-spline function,
and show that the error can be $57\%$ if we apply the classical DFT
for non-ideal samples.
Keyword (in Japanese) (See Japanese page) 
(in English) Discrete Fourier Transform / Fast Fourier Transform / Discrete Cosine Transform / Ideal-Sampling / Real-Sampling / Consistent Reconstruction / /  
Reference Info. IEICE Tech. Rep., vol. 107, no. 438, SIP2007-138, pp. 43-48, Jan. 2008.
Paper # SIP2007-138 
Date of Issue 2008-01-17 (SIP, RCS) 
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 SIP2007-138 RCS2007-141

Conference Information
Committee RCS SIP  
Conference Date 2008-01-24 - 2008-01-25 
Place (in Japanese) (See Japanese page) 
Place (in English) Hiroshima City Uni. 
Topics (in Japanese) (See Japanese page) 
Topics (in English)  
Paper Information
Registration To SIP 
Conference Code 2008-01-RCS-SIP 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Discrete Fourier transform for non-ideal sampling devices 
Sub Title (in English)  
Keyword(1) Discrete Fourier Transform  
Keyword(2) Fast Fourier Transform  
Keyword(3) Discrete Cosine Transform  
Keyword(4) Ideal-Sampling  
Keyword(5) Real-Sampling  
Keyword(6) Consistent Reconstruction  
Keyword(7)  
Keyword(8)  
1st Author's Name Akira Hirabayashi  
1st Author's Affiliation Yamaguchi University (Yamaguchi Univ.)
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Speaker Author-1 
Date Time 2008-01-24 11:35:00 
Presentation Time 25 minutes 
Registration for SIP 
Paper # SIP2007-138, RCS2007-141 
Volume (vol) vol.107 
Number (no) no.438(SIP), no.440(RCS) 
Page pp.43-48 
#Pages 6 
Date of Issue 2008-01-17 (SIP, RCS) 

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