Decomposition of a fuzzy function by one-dimensional fuzzy multiresolution analysis / Jean-louis Akakatshi Ossako ... [et al.]
Signal compression and data compression are techniques for storing and transmitting signals using fewer bits as possible for encoding a complete signal. A good signal compression scheme requires a good signal decomposition scheme. The decomposition of the signal can be done as follows: The signal is...
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| Main Authors: | , , , |
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| Format: | Book |
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UiTM Cawangan Perlis,
2023-11.
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| Summary: | Signal compression and data compression are techniques for storing and transmitting signals using fewer bits as possible for encoding a complete signal. A good signal compression scheme requires a good signal decomposition scheme. The decomposition of the signal can be done as follows: The signal is split into a low-resolution part, described by a smaller number of samples than the original signal, and a signal difference, which describes the difference between the low-resolution signal and the real coded signal. Our paper deals with the proofs of these properties in a fuzzy environment. The proof of one- dimensional multiresolution analysis is given. The concept of fuzzy wavelets is introduced and as a byproduct a special fuzzy space of details of a signal is given and an orthonormal basis of L2(0,1,(R),, F(R)) decomposing the fuzzy signal is obtained. |
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| Item Description: | https://ir.uitm.edu.my/id/eprint/59790/1/59790.pdf Decomposition of a fuzzy function by one-dimensional fuzzy multiresolution analysis / Jean-louis Akakatshi Ossako ... [et al.]. (2023) Journal of Computing Research and Innovation (JCRINN) <https://ir.uitm.edu.my/view/publication/Journal_of_Computing_Research_and_Innovation_=28JCRINN=29/>, 8 (1): 7. pp. 84-96. ISSN 2600-8793 |