{
"title": "Extending the Quantum Entropy to Multidimensional Signal Processing",
"authors": "Youssef Khmou, Said Safi, Miloud Frikel",
"country": "Morocco",
"institution": "Sultan Moulay Slimane",
"volume": "102",
"journal": "International Journal of Mathematical, Computational, Physical, Electrical and Computer Engineering",
"pagesStart": 341,
"pagesEnd": 347,
"ISSN": "1307-6892",
"URL": "http:\/\/waset.org\/publications\/10002278",
"abstract": "This paper treats different aspects of entropy measure\r\nin classical information theory and statistical quantum mechanics, it\r\npresents the possibility of extending the definition of Von Neumann\r\nentropy to image and array processing. In the first part, we generalize\r\nthe quantum entropy using singular values of arbitrary rectangular\r\nmatrices to measure the randomness and the quality of denoising\r\noperation, this new definition of entropy can be implemented to\r\ncompare the performance analysis of filtering methods. In the second\r\npart, we apply the concept of pure state in quantum formalism\r\nto generalize the maximum entropy method for narrowband and\r\nfarfield source localization problem. Several computer simulation\r\nresults are illustrated to demonstrate the effectiveness of the proposed\r\ntechniques.",
"references": null,
"publisher": "World Academy of Science, Engineering and Technology",
"index": "International Science Index 102, 2015"
}