Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  introduce a generalized definition for "low-pass" filters that covers time-varying and nonlinear systems under the same umbrella.  show that the qualitative concept of signal smoothing can be made precise through the concept of contractions in probabilistic metric spaces. For illustration,  consider classical linear time-invariant low-pass filters, nonlinear median filters, and time-varying guaranteed maximum delay schedulers employed in communication systems.
['Mohammad Ali Khojastepour', 'Behnaam Aazhang', 'Richard G. Baraniuk']
I am writing a research paper on a idea Contraction, smoothness, and low-pass filtering
[{"from": "human", "value": "I am writing a research paper on a idea Contraction, smoothness, and low-pass filtering"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  introduce a generalized definition for \"low-pass\" filters that covers time-varying and nonlinear systems under the same umbrella.  show that the qualitative concept of signal smoothing can be made precise through the concept of contractions in probabilistic metric spaces. For illustration,  consider classical linear time-invariant low-pass filters, nonlinear median filters, and time-varying guaranteed maximum delay schedulers employed in communication systems."}]