Biomedical Multimedia Encryption by Fractional-Order Meixner Polynomials Map and Quaternion Fractional-Order Meixner Moments
Chaotic systems are widely used in signal and image encryption schemes. Therefore, the design of new chaotic systems is always useful for improving the performance of encryption schemes in terms of security. In this work, we first demonstrate the chaotic behavior of fractional order Meixner polynomi...
| Main Authors: | , , , , , , |
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| Format: | Article |
| Language: | English |
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IEEE
2022-01-01
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| Series: | IEEE Access |
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| Online Access: | https://ieeexplore.ieee.org/document/9870787/ |
| _version_ | 1811205639835222016 |
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| author | Achraf Daoui Mohamed Yamni Hicham Karmouni Mhamed Sayyouri Hassan Qjidaa Musheer Ahmad Ahmed A. Abd El-Latif |
| author_facet | Achraf Daoui Mohamed Yamni Hicham Karmouni Mhamed Sayyouri Hassan Qjidaa Musheer Ahmad Ahmed A. Abd El-Latif |
| author_sort | Achraf Daoui |
| collection | DOAJ |
| description | Chaotic systems are widely used in signal and image encryption schemes. Therefore, the design of new chaotic systems is always useful for improving the performance of encryption schemes in terms of security. In this work, we first demonstrate the chaotic behavior of fractional order Meixner polynomials (FrMPs) for introducing a new two-dimensional (2D) chaotic system called FrMPs map. This system is very sensitive to any variation by 10−15 of its control parameters (<inline-formula> <tex-math notation="LaTeX">$\mu \textrm {and}\beta$ </tex-math></inline-formula>).Next, we use FrMPs to introduce a new type of orthogonal transforms called quaternion fractional order Meixner moments (QFrMMs). The latter generalize the existing fractional order Meixner moments. To demonstrate the relevance of the proposed FrMPs map and QFrMMs in the field of signal and image processing, they are applied in the development of a new encryption scheme. The main advantage of this scheme is its applicability to the encryption of different types of biomedical data such as multi-biomedical signals, multiple grayscale medical images, color medical image, and grayscale medical image. Several simulation analysis (visual, histogram, runtime, correlation, robustness, etc.) are conducted to verify the efficiency of the proposed scheme. Simulation and comparison results confirm that our encryption method is effective in terms of high security level, high quality of the decrypted information, strong resistance to different types of attacks, etc. These findings support the suitability of the proposed scheme for the secure exchange of biomedical multimedia via a public communication channel. |
| first_indexed | 2024-04-12T03:35:35Z |
| format | Article |
| id | doaj.art-769e8787532a428c820de7bfb3b0b5c4 |
| institution | Directory Open Access Journal |
| issn | 2169-3536 |
| language | English |
| last_indexed | 2024-04-12T03:35:35Z |
| publishDate | 2022-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj.art-769e8787532a428c820de7bfb3b0b5c42022-12-22T03:49:27ZengIEEEIEEE Access2169-35362022-01-011010259910261710.1109/ACCESS.2022.32030679870787Biomedical Multimedia Encryption by Fractional-Order Meixner Polynomials Map and Quaternion Fractional-Order Meixner MomentsAchraf Daoui0Mohamed Yamni1Hicham Karmouni2Mhamed Sayyouri3Hassan Qjidaa4Musheer Ahmad5https://orcid.org/0000-0002-4915-9325Ahmed A. Abd El-Latif6https://orcid.org/0000-0002-5068-2033Engineering, Systems and Applications Laboratory, National School of Applied Sciences, Sidi Mohamed Ben Abdellah University, Fez, MoroccoLaboratory of Electronic Signals and Systems of Information (LESSI), Dhar El Mahrez Faculty of Science, Sidi Mohamed Ben Abdellah University, Fez, MoroccoEngineering, Systems and Applications Laboratory, National School of Applied Sciences, Sidi Mohamed Ben Abdellah University, Fez, MoroccoEngineering, Systems and Applications Laboratory, National School of Applied Sciences, Sidi Mohamed Ben Abdellah University, Fez, MoroccoLaboratory of Electronic Signals and Systems of Information (LESSI), Dhar El Mahrez Faculty of Science, Sidi Mohamed Ben Abdellah University, Fez, MoroccoDepartment of Computer Engineering, Jamia Millia Islamia, New Delhi, IndiaEIAS Data Science Laboratory, College of Computer and Information Sciences, Prince Sultan University, Riyadh, Saudi ArabiaChaotic systems are widely used in signal and image encryption schemes. Therefore, the design of new chaotic systems is always useful for improving the performance of encryption schemes in terms of security. In this work, we first demonstrate the chaotic behavior of fractional order Meixner polynomials (FrMPs) for introducing a new two-dimensional (2D) chaotic system called FrMPs map. This system is very sensitive to any variation by 10−15 of its control parameters (<inline-formula> <tex-math notation="LaTeX">$\mu \textrm {and}\beta$ </tex-math></inline-formula>).Next, we use FrMPs to introduce a new type of orthogonal transforms called quaternion fractional order Meixner moments (QFrMMs). The latter generalize the existing fractional order Meixner moments. To demonstrate the relevance of the proposed FrMPs map and QFrMMs in the field of signal and image processing, they are applied in the development of a new encryption scheme. The main advantage of this scheme is its applicability to the encryption of different types of biomedical data such as multi-biomedical signals, multiple grayscale medical images, color medical image, and grayscale medical image. Several simulation analysis (visual, histogram, runtime, correlation, robustness, etc.) are conducted to verify the efficiency of the proposed scheme. Simulation and comparison results confirm that our encryption method is effective in terms of high security level, high quality of the decrypted information, strong resistance to different types of attacks, etc. These findings support the suitability of the proposed scheme for the secure exchange of biomedical multimedia via a public communication channel.https://ieeexplore.ieee.org/document/9870787/Quaternion theoryquaternion fractional order momentsfractional-order polynomialsmultiple image encryptionmedical image encryption |
| spellingShingle | Achraf Daoui Mohamed Yamni Hicham Karmouni Mhamed Sayyouri Hassan Qjidaa Musheer Ahmad Ahmed A. Abd El-Latif Biomedical Multimedia Encryption by Fractional-Order Meixner Polynomials Map and Quaternion Fractional-Order Meixner Moments IEEE Access Quaternion theory quaternion fractional order moments fractional-order polynomials multiple image encryption medical image encryption |
| title | Biomedical Multimedia Encryption by Fractional-Order Meixner Polynomials Map and Quaternion Fractional-Order Meixner Moments |
| title_full | Biomedical Multimedia Encryption by Fractional-Order Meixner Polynomials Map and Quaternion Fractional-Order Meixner Moments |
| title_fullStr | Biomedical Multimedia Encryption by Fractional-Order Meixner Polynomials Map and Quaternion Fractional-Order Meixner Moments |
| title_full_unstemmed | Biomedical Multimedia Encryption by Fractional-Order Meixner Polynomials Map and Quaternion Fractional-Order Meixner Moments |
| title_short | Biomedical Multimedia Encryption by Fractional-Order Meixner Polynomials Map and Quaternion Fractional-Order Meixner Moments |
| title_sort | biomedical multimedia encryption by fractional order meixner polynomials map and quaternion fractional order meixner moments |
| topic | Quaternion theory quaternion fractional order moments fractional-order polynomials multiple image encryption medical image encryption |
| url | https://ieeexplore.ieee.org/document/9870787/ |
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