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Extending the Quantum Entropy to Multidimensional Signal Processing

Abstract : This paper treats different aspects of entropy measure in classical information theory and statistical quantum mechanics, it presents the possibility of extending the definition of Von Neumann entropy to image and array processing. In the first part, we generalize the quantum entropy using singular values of arbitrary rectangular matrices to measure the randomness and the quality of denoising operation, this new definition of entropy can be implemented to compare the performance analysis of filtering methods. In the second part, we apply the concept of pure state in quantum formalism to generalize the maximum entropy method for narrowband and farfield source localization problem. Several computer simulation results are illustrated to demonstrate the effectiveness of the proposed techniques.
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https://hal-normandie-univ.archives-ouvertes.fr/hal-01821215
Contributor : Miloud Frikel Connect in order to contact the contributor
Submitted on : Friday, June 22, 2018 - 12:50:34 PM
Last modification on : Saturday, June 25, 2022 - 9:51:56 AM

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  • HAL Id : hal-01821215, version 1

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youssef Khmou, Saïd Safi, Miloud Frikel. Extending the Quantum Entropy to Multidimensional Signal Processing. International Journal of Nuclear and Quantum Engineering, World Academy of Science, Engineering and Technology, 2015, 9 (6), pp.337-342. ⟨hal-01821215⟩

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