The Sufficient Condition for Ensuring the Reliability of Perception of the Steganographic Message in the Walsh-Hadamard Transform Domain
In view of the high compatibility of the Walsh-Hadamard transform to the architecture of mod-ern computing facilities, it is sensible to use it in methods of steganography and steganalysis. Now, there are some efficient steganographic methods that use the Walsh-Hadamard transform domain for informat...
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| Format: | Article |
| Language: | English |
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Academy of Sciences of Moldova
2022-05-01
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| Series: | Problems of the Regional Energetics |
| Subjects: | |
| Online Access: | https://journal.ie.asm.md/assets/files/08_02_54_2022.pdf |
| _version_ | 1811256687118516224 |
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| author | Kobozeva A.A. Sokolov A.V. |
| author_facet | Kobozeva A.A. Sokolov A.V. |
| author_sort | Kobozeva A.A. |
| collection | DOAJ |
| description | In view of the high compatibility of the Walsh-Hadamard transform to the architecture of mod-ern computing facilities, it is sensible to use it in methods of steganography and steganalysis. Now, there are some efficient steganographic methods that use the Walsh-Hadamard transform domain for information embedding presented in the literature. It is known that to ensure the reli-ability of the steganographic message perception, information should be embedded in its high-frequency components; nevertheless, the issues of the correspondence of the Walsh-Hadamard transformants to the frequency components of the original matrix of the cover image are poorly researched. The purpose of this paper is to develop a formal sufficient condition for ensuring the reliability of perception of steganographic messages in the Walsh-Hadamard transform do-main. This purpose was achieved by establishing the relationship between the Walsh-Hadamard transformants and the discrete cosine transform transformants, which was theoretically substan-tiated in two ways, and experimentally confirmed. Based on the established relationship between the Walsh-Hadamard transform and the discrete cosine transform, as well as the components of the singular value decomposition of the corresponding matrices, a sufficient condition has been developed to ensure the reliability of the perception of steganographic messages in the Walsh-Hadamard transform domain. The sufficient condition consists in the fact that after embedding of additional information using any steganographic method, those Walsh-Hadamard trans-formants that correspond to the singular triples of the matrix corresponding to small (smallest) in value singular numbers, should change. |
| first_indexed | 2024-04-12T17:45:01Z |
| format | Article |
| id | doaj.art-2a5960ad11a645ddb0be39d302386cd2 |
| institution | Directory Open Access Journal |
| issn | 1857-0070 |
| language | English |
| last_indexed | 2024-04-12T17:45:01Z |
| publishDate | 2022-05-01 |
| publisher | Academy of Sciences of Moldova |
| record_format | Article |
| series | Problems of the Regional Energetics |
| spelling | doaj.art-2a5960ad11a645ddb0be39d302386cd22022-12-22T03:22:41ZengAcademy of Sciences of MoldovaProblems of the Regional Energetics1857-00702022-05-015428410010.52254/1857-0070.2022.2-54.08The Sufficient Condition for Ensuring the Reliability of Perception of the Steganographic Message in the Walsh-Hadamard Transform DomainKobozeva A.A.0Sokolov A.V.1Odessa Polytechnic National University, Odessa, UkraineOdessa Polytechnic National University, Odessa, UkraineIn view of the high compatibility of the Walsh-Hadamard transform to the architecture of mod-ern computing facilities, it is sensible to use it in methods of steganography and steganalysis. Now, there are some efficient steganographic methods that use the Walsh-Hadamard transform domain for information embedding presented in the literature. It is known that to ensure the reli-ability of the steganographic message perception, information should be embedded in its high-frequency components; nevertheless, the issues of the correspondence of the Walsh-Hadamard transformants to the frequency components of the original matrix of the cover image are poorly researched. The purpose of this paper is to develop a formal sufficient condition for ensuring the reliability of perception of steganographic messages in the Walsh-Hadamard transform do-main. This purpose was achieved by establishing the relationship between the Walsh-Hadamard transformants and the discrete cosine transform transformants, which was theoretically substan-tiated in two ways, and experimentally confirmed. Based on the established relationship between the Walsh-Hadamard transform and the discrete cosine transform, as well as the components of the singular value decomposition of the corresponding matrices, a sufficient condition has been developed to ensure the reliability of the perception of steganographic messages in the Walsh-Hadamard transform domain. The sufficient condition consists in the fact that after embedding of additional information using any steganographic method, those Walsh-Hadamard trans-formants that correspond to the singular triples of the matrix corresponding to small (smallest) in value singular numbers, should change. https://journal.ie.asm.md/assets/files/08_02_54_2022.pdfsteganographic communication channelsteganographic message perception reliabilitydigital imagewalsh-hadamard transformsequencediscrete cosine transform |
| spellingShingle | Kobozeva A.A. Sokolov A.V. The Sufficient Condition for Ensuring the Reliability of Perception of the Steganographic Message in the Walsh-Hadamard Transform Domain Problems of the Regional Energetics steganographic communication channel steganographic message perception reliability digital image walsh-hadamard transform sequence discrete cosine transform |
| title | The Sufficient Condition for Ensuring the Reliability of Perception of the Steganographic Message in the Walsh-Hadamard Transform Domain |
| title_full | The Sufficient Condition for Ensuring the Reliability of Perception of the Steganographic Message in the Walsh-Hadamard Transform Domain |
| title_fullStr | The Sufficient Condition for Ensuring the Reliability of Perception of the Steganographic Message in the Walsh-Hadamard Transform Domain |
| title_full_unstemmed | The Sufficient Condition for Ensuring the Reliability of Perception of the Steganographic Message in the Walsh-Hadamard Transform Domain |
| title_short | The Sufficient Condition for Ensuring the Reliability of Perception of the Steganographic Message in the Walsh-Hadamard Transform Domain |
| title_sort | sufficient condition for ensuring the reliability of perception of the steganographic message in the walsh hadamard transform domain |
| topic | steganographic communication channel steganographic message perception reliability digital image walsh-hadamard transform sequence discrete cosine transform |
| url | https://journal.ie.asm.md/assets/files/08_02_54_2022.pdf |
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