Results:The distance of the middle tip to the center of the lesion of mesh oppressive plate was 1.3770±0.6947 mm and the window plate was 2.1780±0.9519 mm. The accuracy in two types of location was apparent(t=4.893,P<0.01,).
For a fairly general class of orthonormal scaling functions and wavelets with regularity exponents n, we prove that the areas of the time-frequency windows tend to infinity as n → ∞.
When, in addition, the Tolimieri-Orr condition A is satisfied, the minimum energy dual windowoγ ε L2(?) can be sampled as well, and the two sampled windows continue to be related by duality and minimality.
Characterization and Computation of Canonical Tight Windows for Gabor Frames
Iterative Algorithms to Approximate Canonical Gabor Windows: Computational Aspects
We consider two strategies for scaling the terms in the iteration step: Norm scaling, where in each step the windows are normalized, and initial scaling where we only scale in the very beginning.
It is shown that this is possible when the window g ε L2(?) generating the Weyl-Heisenberg frame satisfies an appropriate regularity condition at the integers.
Next, we show that, if the window function has exponential decay, also the dual function has some exponential decay.
The 'window problem' for series of complex exponentials
The iterations start with the window g while the iteration steps comprise the window g, the k-th iterand γk, the frame operators S and Sk corresponding to (g, a, b) and (γk, a, b), respectively, and a number of scalars.
Under some conditions on the window functions we prove that the Riemannian sums converge to f in the modulation spaces and inWiener amalgam norms, hence also in the Lp sense.