Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  proposes two new recursive filtering structures based on the nonlinear myriad operator. First,  develop the general class of  recursive ighted myriad  (RWMy) filters as a robust filtering structure against impulsive noise that includes, as particular cases, a normalized version of the linear infinite impulse response (IIR) filter, the recursive mode-type filter, and the non-recursive ighted myriad filter. Secondly, considering the fact that the additive noise that contaminates the previous filter's outputs is no longer impulsive,  introduce a novel class of  recursive hybrid myriad  (RHMy) filters whose structure gathers the advantages of both the ighted myriad and the ighted mean in a single cost function to be minimized. Some properties of the RHMy filter are derived and a fast algorithm to compute the RHMy filter output is proposed. Furthermore, adaptive algorithms for designing the proposed recursive structures, under the equation error formulation framework, are developed. Finally, extensive numerical simulations are shown to evaluate both the iterative update of the adaptive algorithms and the performance of the proposed recursive filters against impulsive noise.
['Juan Marcos Ramirez', 'José Luis Méndez García de Paredes']
I am writing a research paper on a idea Recursive Weighted Myriad Based Filters and Their Optimizations
[{"from": "human", "value": "I am writing a research paper on a idea Recursive Weighted Myriad Based Filters and Their Optimizations"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  proposes two new recursive filtering structures based on the nonlinear myriad operator. First,  develop the general class of  recursive ighted myriad  (RWMy) filters as a robust filtering structure against impulsive noise that includes, as particular cases, a normalized version of the linear infinite impulse response (IIR) filter, the recursive mode-type filter, and the non-recursive ighted myriad filter. Secondly, considering the fact that the additive noise that contaminates the previous filter's outputs is no longer impulsive,  introduce a novel class of  recursive hybrid myriad  (RHMy) filters whose structure gathers the advantages of both the ighted myriad and the ighted mean in a single cost function to be minimized. Some properties of the RHMy filter are derived and a fast algorithm to compute the RHMy filter output is proposed. Furthermore, adaptive algorithms for designing the proposed recursive structures, under the equation error formulation framework, are developed. Finally, extensive numerical simulations are shown to evaluate both the iterative update of the adaptive algorithms and the performance of the proposed recursive filters against impulsive noise."}]