A new class of conformable spectral observers for signal reconstruction |
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Authors: | Jesú s Emmanuel Solí s‐P rez,Jos Francisco G mez‐Aguilar,Lizeth Torres,Ricardo Fabricio Escobar‐Jim nez,Juan Reyes‐Reyes |
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Affiliation: | Jesús Emmanuel Solís‐Pérez,José Francisco Gómez‐Aguilar,Lizeth Torres,Ricardo Fabricio Escobar‐Jiménez,Juan Reyes‐Reyes |
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Abstract: | In this work, the design of spectral observers for signal reconstruction based on Kalman filters is performed and evaluated. The conformable derivative and the beta‐derivative were used to design the Kalman filters. Both derivatives satisfy the same formulas of the classical derivation, eg, the chain rule. The derivative order, the Ricatti equation parameters, and the observers tuning parameters were optimized using an optimization algorithm based on the bat's echolocation behavior (Bat algorithm). The simulation results showed the advantages of using the proposed observers for the signal reconstruction. |
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Keywords: | biomedical imaging and signal processing computer graphics image analysis and computational geometry numerical methods in fourier analysis |
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