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Selected spectral gap width for the measurement was 5 nm.
Further, we study the asymptotic behavior of the spectral gap.
This Laplacian is shown to have a spectral gap.
After that, different results are obtained in three essentially different cases: when E belongs to the spectral gap, E belongs to the bottom of the spectral gap, and E belongs to the top of the spectral gap.
Hence, the spectral gap should be less than 30% to not adversely affect radar performance.
Figure 7 Capacity of a CR in a spectral gap between two PUs versus PU SNR.
We can estimate the spectral gap using the ergodicity condition and a Sobolev type inequality.
We also prove upper bound estimates for the spectral gap λ2−λ1 in bounded convex domains.
We describe some results relating the spectral gap and logarithmic Sobolev constants.
Along with explicit estimates we study the short-time asymptotics of the spectral gap.
A strategy for enlarging a spectral gap by structural modification is formulated.
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