Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  formulates a spatially-limited signal energy concentration problem on the 2-sphere using a generalized moment criterion in the spectral domain. The set of optimal signals with maximum concentration for general positive spherical harmonic coefficient frequency ightings is obtained. Numerically solving the resulting integral equation optimization shows that this set of functions not only decays slor but also has higher sidelobes than the set of spherical Slepian functions. This result on the 2-sphere contrasts with the findings from the time-frequency analogy which compares the classical Slepian eigenfunctions with the minimum bandwidth basis functions for the fourth-moment bandwidth measure.
['Liying Wei', 'Rodney A. Kennedy']
I am writing a research paper on a idea On spectral concentration of signals on the 2-sphere under a generalized moment weighting criterion
[{"from": "human", "value": "I am writing a research paper on a idea On spectral concentration of signals on the 2-sphere under a generalized moment weighting criterion"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  formulates a spatially-limited signal energy concentration problem on the 2-sphere using a generalized moment criterion in the spectral domain. The set of optimal signals with maximum concentration for general positive spherical harmonic coefficient frequency ightings is obtained. Numerically solving the resulting integral equation optimization shows that this set of functions not only decays slor but also has higher sidelobes than the set of spherical Slepian functions. This result on the 2-sphere contrasts with the findings from the time-frequency analogy which compares the classical Slepian eigenfunctions with the minimum bandwidth basis functions for the fourth-moment bandwidth measure."}]