After optimizing insulation design,processing research and testverification,the final product has main specifications as follows: power frequency withstand voltage 1 200 kV 5 min,lightning impulse withstand voltage 2 400 kV,switching impulse withstand voltage 1 960 kV / 1 800 kV,low dielectric dissipation(tanδ),low partial discharge magnitude,stable insulation performance.
A number of q,t-analogues of this fact were conjectured in ; the present paper proves most of those conjectures, as well as some new identities suggested by the proof technique.
In this paper we present a technique for proving bounds of the Boas-Kac-Lukosz type for unsharply restricted functions with nonnegative Fourier transforms.
This technique gives rise to several "epsilonized" versions of the Boas-Kac-Lukosz bound (which deals with the case f(u) = 0, |u| ≥ 1).
The basic technique uses factorization of group elements and Gel'fand-Tsetlin bases to simplify the computations, and may be extended to treat the computation of Fourier transforms of finitely supported distributions on the group.
Our technique applies, in particular, to the Shannon and Journe wavelet sets.
It is shown that the one-dimensional sampling sets correspond to Bessel sequences of complex exponentials that are not Riesz bases for $L^2[-R,R].$ A signal processing application in which such sampling sets arise naturally is described in detail.
The Discrete Wavelet Transform (DWT) is of considerable practical use in image and signal processing applications.
Among all image transforms, the classical (Euclidean) Fourier transform has had the widest range of applications in image processing.
The projectively adapted properties of theSL(2, ?)-harmonic analysis, as applied to the problems, in image processing, are confirmed by computational tests.
Such systems play an important role in time-frequency analysis and digital signal processing.