Analysis of Multidimensional Linear Periodically Shift-Variant Digital Filters and Its Application to Secure Communication of Images
Summary :
This paper studies multidimensional linear periodically shift-variant digital filters (LPSV filters). The notion of a generalized multidimensional transfer function is presented for LPSV filters. The frequency characteristic of the filters is discussed in terms of this transfer function. Since LPSV filters can decompose the spectrum of an input signal into some spectral partitions and rearrange the spectrum, LPSV filters can serve as a frequency scrambler. To show the effect of multidimensional frequency scramble, 2-D LPSV filters are designed based on the 1-D Parks-McClellan algorithm. The resultant LPSV filters divide the input spectrum into some components that are permuted and possibly inverted with keeping the symmetric of the spectrum. Experimental results are presented to illustrate the effectiveness of frequency scramble for real images.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E76-A No.3 pp.326-336
- Publication Date
- 1993/03/25
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- Special Section PAPER (Special Section on the 5th Karuizawa Workshop on Circuits and Systems)
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Masayuki KAWAMATA, Sho MURAKOSHI, Tatsuo HIGUCHI, "Analysis of Multidimensional Linear Periodically Shift-Variant Digital Filters and Its Application to Secure Communication of Images" in IEICE TRANSACTIONS on Fundamentals,
vol. E76-A, no. 3, pp. 326-336, March 1993, doi: .
Abstract: This paper studies multidimensional linear periodically shift-variant digital filters (LPSV filters). The notion of a generalized multidimensional transfer function is presented for LPSV filters. The frequency characteristic of the filters is discussed in terms of this transfer function. Since LPSV filters can decompose the spectrum of an input signal into some spectral partitions and rearrange the spectrum, LPSV filters can serve as a frequency scrambler. To show the effect of multidimensional frequency scramble, 2-D LPSV filters are designed based on the 1-D Parks-McClellan algorithm. The resultant LPSV filters divide the input spectrum into some components that are permuted and possibly inverted with keeping the symmetric of the spectrum. Experimental results are presented to illustrate the effectiveness of frequency scramble for real images.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e76-a_3_326/_p
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@ARTICLE{e76-a_3_326,
author={Masayuki KAWAMATA, Sho MURAKOSHI, Tatsuo HIGUCHI, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Analysis of Multidimensional Linear Periodically Shift-Variant Digital Filters and Its Application to Secure Communication of Images},
year={1993},
volume={E76-A},
number={3},
pages={326-336},
abstract={This paper studies multidimensional linear periodically shift-variant digital filters (LPSV filters). The notion of a generalized multidimensional transfer function is presented for LPSV filters. The frequency characteristic of the filters is discussed in terms of this transfer function. Since LPSV filters can decompose the spectrum of an input signal into some spectral partitions and rearrange the spectrum, LPSV filters can serve as a frequency scrambler. To show the effect of multidimensional frequency scramble, 2-D LPSV filters are designed based on the 1-D Parks-McClellan algorithm. The resultant LPSV filters divide the input spectrum into some components that are permuted and possibly inverted with keeping the symmetric of the spectrum. Experimental results are presented to illustrate the effectiveness of frequency scramble for real images.},
keywords={},
doi={},
ISSN={},
month={March},}
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TY - JOUR
TI - Analysis of Multidimensional Linear Periodically Shift-Variant Digital Filters and Its Application to Secure Communication of Images
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 326
EP - 336
AU - Masayuki KAWAMATA
AU - Sho MURAKOSHI
AU - Tatsuo HIGUCHI
PY - 1993
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E76-A
IS - 3
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - March 1993
AB - This paper studies multidimensional linear periodically shift-variant digital filters (LPSV filters). The notion of a generalized multidimensional transfer function is presented for LPSV filters. The frequency characteristic of the filters is discussed in terms of this transfer function. Since LPSV filters can decompose the spectrum of an input signal into some spectral partitions and rearrange the spectrum, LPSV filters can serve as a frequency scrambler. To show the effect of multidimensional frequency scramble, 2-D LPSV filters are designed based on the 1-D Parks-McClellan algorithm. The resultant LPSV filters divide the input spectrum into some components that are permuted and possibly inverted with keeping the symmetric of the spectrum. Experimental results are presented to illustrate the effectiveness of frequency scramble for real images.
ER -
English
