Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: The purpose of this work is to explore the use of sparse representation in the context of system identification and, in particular, to address the important problem of identifying spectral lines in the presence of colored noise. To this end  formulate an l 1  optimization problem, similar to Lasso, to incorporate an AR-model that accounts for the noise-color dynamics with contribution of sinusoids drawn out of an over-complete basis (dictionary). A suitable generalization for correlated time series sharing common components is also considered.
['Lipeng Ning', 'Tryphon T. Georgiou', 'Allen Tannenbaum']
I am writing a research paper on a idea Separation of system dynamics and line spectra via sparse representation
[{"from": "human", "value": "I am writing a research paper on a idea Separation of system dynamics and line spectra via sparse representation"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: The purpose of this work is to explore the use of sparse representation in the context of system identification and, in particular, to address the important problem of identifying spectral lines in the presence of colored noise. To this end  formulate an l 1  optimization problem, similar to Lasso, to incorporate an AR-model that accounts for the noise-color dynamics with contribution of sinusoids drawn out of an over-complete basis (dictionary). A suitable generalization for correlated time series sharing common components is also considered."}]