Efficient Coding of the Embedded Signal in Steganographic Systems with Multiple Access

Today, steganographic systems with multiple access are of considerable importance. In such sys-tems, the orthogonal Walsh-Hadamard transform is most often used for multiplexing and divid-ing channels, which leads to the need for efficient coding of the Walsh-Hadamard transform coefficients for the c...

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Main Authors: Kobozeva A.A., Kobozeva A.A.
Format: Article
Language:English
Published: Academy of Sciences of Moldova 2021-06-01
Series:Problems of the Regional Energetics
Subjects:
Online Access:https://journal.ie.asm.md/assets/files/09_02_50_2021.pdf
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author Kobozeva A.A.
Kobozeva A.A.,
author_facet Kobozeva A.A.
Kobozeva A.A.,
author_sort Kobozeva A.A.
collection DOAJ
description Today, steganographic systems with multiple access are of considerable importance. In such sys-tems, the orthogonal Walsh-Hadamard transform is most often used for multiplexing and divid-ing channels, which leads to the need for efficient coding of the Walsh-Hadamard transform coefficients for the convenience of their subsequent embedding. The purpose of the research is to develop a theoretical basis for efficient coding of the embedded signal in steganographic sys-tems with multiple access with an arbitrary number of users N, based on MC-CDMA technology. This purpose was fulfilled by forming the theoretical basis for constructing effective codes de-signed to encode the embedded signal in steganographic systems with multiple access. The most important results obtained are the proposed and proven relations that determine both the possible values of the Walsh-Hadamard transform coefficients, for a given value of the number of divid-ed channels, and the probability of occurrence of the given values of the Walsh-Hadamard transform coefficients, which allow the construction of effective codes to represent the embed-ded signal. In the case of the number of divided channels N=4, we propose to use a constant amplitude code that provides a smaller value of the average codeword length in comparison with the Huffman code, while the constructed code has correcting capabilities. The significance of the obtained results is determined by the possibility of using the developed theoretical basis when constructing effective codes for encoding the embedded signal in steganographic systems with multiple access at an arbitrary value of the number of divided channels N.
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spelling doaj.art-28f4aff4cdee4e909b97fe32a0cfaa3b2022-12-21T21:25:15ZengAcademy of Sciences of MoldovaProblems of the Regional Energetics1857-00702021-06-0150210111310.52254/1857-0070.2021.2-50.09Efficient Coding of the Embedded Signal in Steganographic Systems with Multiple AccessKobozeva A.A.0 Kobozeva A.A., 1Odessa National Polytechnic University, Odessa, UkraineOdessa National Polytechnic University, Odessa, UkraineToday, steganographic systems with multiple access are of considerable importance. In such sys-tems, the orthogonal Walsh-Hadamard transform is most often used for multiplexing and divid-ing channels, which leads to the need for efficient coding of the Walsh-Hadamard transform coefficients for the convenience of their subsequent embedding. The purpose of the research is to develop a theoretical basis for efficient coding of the embedded signal in steganographic sys-tems with multiple access with an arbitrary number of users N, based on MC-CDMA technology. This purpose was fulfilled by forming the theoretical basis for constructing effective codes de-signed to encode the embedded signal in steganographic systems with multiple access. The most important results obtained are the proposed and proven relations that determine both the possible values of the Walsh-Hadamard transform coefficients, for a given value of the number of divid-ed channels, and the probability of occurrence of the given values of the Walsh-Hadamard transform coefficients, which allow the construction of effective codes to represent the embed-ded signal. In the case of the number of divided channels N=4, we propose to use a constant amplitude code that provides a smaller value of the average codeword length in comparison with the Huffman code, while the constructed code has correcting capabilities. The significance of the obtained results is determined by the possibility of using the developed theoretical basis when constructing effective codes for encoding the embedded signal in steganographic systems with multiple access at an arbitrary value of the number of divided channels N.https://journal.ie.asm.md/assets/files/09_02_50_2021.pdfsteganographymultiple accesswalsh-hadamard transformefficient codingc-code.
spellingShingle Kobozeva A.A.
Kobozeva A.A.,
Efficient Coding of the Embedded Signal in Steganographic Systems with Multiple Access
Problems of the Regional Energetics
steganography
multiple access
walsh-hadamard transform
efficient coding
c-code.
title Efficient Coding of the Embedded Signal in Steganographic Systems with Multiple Access
title_full Efficient Coding of the Embedded Signal in Steganographic Systems with Multiple Access
title_fullStr Efficient Coding of the Embedded Signal in Steganographic Systems with Multiple Access
title_full_unstemmed Efficient Coding of the Embedded Signal in Steganographic Systems with Multiple Access
title_short Efficient Coding of the Embedded Signal in Steganographic Systems with Multiple Access
title_sort efficient coding of the embedded signal in steganographic systems with multiple access
topic steganography
multiple access
walsh-hadamard transform
efficient coding
c-code.
url https://journal.ie.asm.md/assets/files/09_02_50_2021.pdf
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