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...

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Veröffentlicht in:	IEEE access Jg. 10; S. 1
Hauptverfasser:	Daoui, Achraf, Yamni, Mohamed, Karmouni, Hicham, Sayyouri, Mhamed, Qjidaa, Hassan, Ahmad, Musheer, Abd El-Latif, Ahmed A.
Format:	Journal Article
Sprache:	Englisch
Veröffentlicht:	Piscataway IEEE 2022 The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Schlagworte:	Biomedical data Biomedical imaging Chaos theory Chaotic communication Encryption fractional-order polynomials Gray scale Histograms Image processing Medical diagnostic imaging Medical image encryption Medical imaging Multimedia Multiple image encryption Multiple signal encryption Parameter sensitivity Polynomials Quaternion fractional order moments Quaternion theory Quaternions Security Signal processing Transforms Watermarking
ISSN:	2169-3536, 2169-3536
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Abstract	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 (μ and β).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.
AbstractList	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 ([Formula Omitted]).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. 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 (μ and β).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. 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 ( <tex-math notation="LaTeX">$\mu \textrm {and}\beta$ </tex-math>).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.
Author	Abd El-Latif, Ahmed A. Ahmad, Musheer Daoui, Achraf Qjidaa, Hassan Yamni, Mohamed Karmouni, Hicham Sayyouri, Mhamed
Author_xml	– sequence: 1 givenname: Achraf surname: Daoui fullname: Daoui, Achraf organization: National School of Applied Sciences, Engineering, Systems and Applications Laboratory, Sidi Mohamed Ben Abdellah University, My Abdallah Avenue Km. 5 Imouzzer Road, Fez, Morocco – sequence: 2 givenname: Mohamed surname: Yamni fullname: Yamni, Mohamed organization: Dhar El Mahrez Faculty of Science, Laboratory of Electronic Signals and Systems of Information LESSI, Sidi Mohamed Ben Abdellah-Fez University, Fez, Morocco – sequence: 3 givenname: Hicham surname: Karmouni fullname: Karmouni, Hicham organization: National School of Applied Sciences, Engineering, Systems and Applications Laboratory, Sidi Mohamed Ben Abdellah University, My Abdallah Avenue Km. 5 Imouzzer Road, Fez, Morocco – sequence: 4 givenname: Mhamed surname: Sayyouri fullname: Sayyouri, Mhamed organization: National School of Applied Sciences, Engineering, Systems and Applications Laboratory, Sidi Mohamed Ben Abdellah University, My Abdallah Avenue Km. 5 Imouzzer Road, Fez, Morocco – sequence: 5 givenname: Hassan surname: Qjidaa fullname: Qjidaa, Hassan organization: Dhar El Mahrez Faculty of Science, Laboratory of Electronic Signals and Systems of Information LESSI, Sidi Mohamed Ben Abdellah-Fez University, Fez, Morocco – sequence: 6 givenname: Musheer orcidid: 0000-0002-4915-9325 surname: Ahmad fullname: Ahmad, Musheer organization: Department of Computer Engineering, Jamia Millia Islamia, New Delhi, India – sequence: 7 givenname: Ahmed A. orcidid: 0000-0002-5068-2033 surname: Abd El-Latif fullname: Abd El-Latif, Ahmed A. organization: College of Computer and Information Sciences, EIAS Data Science Lab, Prince Sultan University, Riyadh, Saudi Arabia
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SubjectTerms	Biomedical data Biomedical imaging Chaos theory Chaotic communication Encryption fractional-order polynomials Gray scale Histograms Image processing Medical diagnostic imaging Medical image encryption Medical imaging Multimedia Multiple image encryption Multiple signal encryption Parameter sensitivity Polynomials Quaternion fractional order moments Quaternion theory Quaternions Security Signal processing Transforms Watermarking
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Title	Biomedical Multimedia encryption by fractional-order Meixner polynomials map and quaternion fractional-order Meixner moments
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