Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  describes an exponential transient excision algorithm (ETEA). In biomedical time series analysis, e.g., in vivo neural recording and electrocorticography (ECoG), some measurement artifacts take the form of piecewise exponential transients. The proposed method is formulated as an unconstrained convex optimization problem, regularized by smoothed ?1-norm penalty function, which can be solved by majorization-minimization (MM) method. With a slight modification of the regularizer, ETEA can also suppress more irregular piecewise smooth artifacts, especially, ocular artifacts (OA) in electroencephalography (EEG) data. Examples of synthetic signal, EEG data, and ECoG data are presented to illustrate the proposed algorithms. Highlights proposed a method to suppress piecewise exponential transient. proposed a method to suppress smooth protuberance transient. give mathematical proof of quadratic majorizer of smoothed penalty functions.
['Yin Ding', 'Ivan W. Selesnick']
I am writing a research paper on a idea Sparsity-based correction of exponential artifacts
[{"from": "human", "value": "I am writing a research paper on a idea Sparsity-based correction of exponential artifacts"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  describes an exponential transient excision algorithm (ETEA). In biomedical time series analysis, e.g., in vivo neural recording and electrocorticography (ECoG), some measurement artifacts take the form of piecewise exponential transients. The proposed method is formulated as an unconstrained convex optimization problem, regularized by smoothed ?1-norm penalty function, which can be solved by majorization-minimization (MM) method. With a slight modification of the regularizer, ETEA can also suppress more irregular piecewise smooth artifacts, especially, ocular artifacts (OA) in electroencephalography (EEG) data. Examples of synthetic signal, EEG data, and ECoG data are presented to illustrate the proposed algorithms. Highlights proposed a method to suppress piecewise exponential transient. proposed a method to suppress smooth protuberance transient. give mathematical proof of quadratic majorizer of smoothed penalty functions."}]