In Hilbert space L2(Rn), we prove the equivalence between the mod-ulus of smoothness and the K-functionals constructed by the Sobolev space cor-responding to the Fourier transform. For this purpose, Using a spherical meanoperator.

extended abstract 1. introduction immigration plays an important role in reducing poverty and vulnerability in low- income families. people for various reasons, specifically, economic, social, cultural, environmental, and natural disasters leave their native land. so far in our country, people often have migrated from rural areas to cities. in recent years, however, we are witnessing the revers...

Fourier finite-difference (FFD) migration combines the complementary advantages of the phase-shift and finite-difference migration methods. However, as with other implicit finite-difference algorithms, direct application to 3-D problems is prohibitively expensive. Rather than making the simple x y splitting approximation that leads to extensive azimuthal operator anisotropy, I demonstrate an al...

in this paper, by considering a squint angle for synthetic aperture radar in the strip-map mode, a method is proposed for estimating parameters of a fixed acceleration moving target. non-zero doppler centroid and range-azimuth coupling in the squint mode add complexity to estimation equations of moving target parameters and cause doppler ambiguity. this, in turn, causes to lose the efficiency o...

The quality of the surrounding rock is crucial to stability underground caverns, thereby requiring an effective monitoring technology. Ground-penetrating radar (GPR) can reconstruct subterranean profile by electromagnetic waves, but two significant issues, called clutter and hyperbola tails, affect signal quality. We propose approach identify fractured rocks using 2D Wavelet transform (WT) F-K ...