Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: A multitude of applications contain signals that can be ll described as being formed as a sum of sinusoidal components corrupted by noise, and, as a result, the literature contains a large variety of estimation algorithms tailored for this problem. Many of these estimators assume a complex-valued signal model, typically formed using the discrete-time Hilbert transform. For a large number of observations, or with frequencies being neither too high nor too low, this approach works ll, whereas it might ll cause considerable problems otherwise. One way to handle these situations is to instead form the frequency estimation algorithm assuming a real-valued signal. ,  show how the principle of angles beten subspaces can be applied to this problem to alleviate some of the shortcomings of subspace-based frequency estimation using the MUSIC algorithm and demonstrate the resulting attractive properties via computer simulations.
['Mads Græsbøll Christensen', 'Andreas Jakobsson']
I am writing a research paper on a idea Improved subspace-based frequency estimation for real-valued data using angles between subspaces
[{"from": "human", "value": "I am writing a research paper on a idea Improved subspace-based frequency estimation for real-valued data using angles between subspaces"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: A multitude of applications contain signals that can be ll described as being formed as a sum of sinusoidal components corrupted by noise, and, as a result, the literature contains a large variety of estimation algorithms tailored for this problem. Many of these estimators assume a complex-valued signal model, typically formed using the discrete-time Hilbert transform. For a large number of observations, or with frequencies being neither too high nor too low, this approach works ll, whereas it might ll cause considerable problems otherwise. One way to handle these situations is to instead form the frequency estimation algorithm assuming a real-valued signal. ,  show how the principle of angles beten subspaces can be applied to this problem to alleviate some of the shortcomings of subspace-based frequency estimation using the MUSIC algorithm and demonstrate the resulting attractive properties via computer simulations."}]