In this paper we present an analytic filtered-backpropagation inversion method for radar imaging when the transmitters and receivers are moving along independent flight paths. The flight paths are arbitrary, but assumed known. We assume a singlescattering model for the radar data, and we assume that the ground topography is known. We assume, in addition, that the receiver can correctly associat...

A new underwater object detection method based on joint GravityGradient and Magnetic-Gradient Inversion algorithms is proposed in this paper. Magnetic gradient and gravity gradient anomalies induced by an underwater object can be measured and inversed to estimate the relative changes in distance between underwater object and underwater vehicle. The weight least squares estimation is introduced ...

We present statistical and interval techniques for evaluating the uncertainties associated with geophysical tomographic inversion problems, including estimation of data errors, model errors, and total solution uncertainties. These techniques are applied to the inversion of traveltime data collected in a cross well seismic experiment. The inversion method uses the conjugate gradient technique, i...

The fuzzy transform (F -transform for short) is a universal tool for a fuzzy modeling with convincing applications to image processing. The aim of this contribution is to explain the effect of the F transform in image processing. With this purpose, we investigate properties of the Fourier transform over the F -transform components. We prove that the direct F -transform is a low-pass filter. Thi...

Effects of the uniform transverse magnetic field on the transient free convective flows of a nanofluid with generalized thermal transport between two vertical parallel plates have been analyzed. The fluid temperature is described by a time-fractional differential equation with Caputo derivatives. Closed form of the temperature field is obtained by using the Laplace transform and fractional deri...

Let φ be a function in the Wiener amalgam space W∞(L1) with a non-vanishing property in a neighborhood of the origin for its Fourier transform φ̂, τ = {τn}n∈Z be a sampling set on R and V τ φ be a closed subspace of L2(R) containing all linear combinations of τ -translates of φ. In this paper we prove that every function f ∈ V τ φ is uniquely determined by and stably reconstructed from the sampl...

There is neither motivation nor need to introduce 'superstatistics.' The authors attempt to generalize the Boltzmann factor so as to obtain a more general statistics, i.e., their so-called superstatistics. The do so by performing a Laplace transform on the probability density function (pdf) of an intensive variable, f (β), where β is the inverse temperature. The criteria they use for choosing f...

This paper describes a unified VLSI architecture which can be applied to various types of transforms used in MPEG-2/4, H.264, VC-1, AVS and the emerging new video coding standard named HEVC (High Efficiency Video Coding). A novel design named configurable butterfly array (CBA) is also proposed to support both the forward transform and the inverse transform in this unified architecture. Hadamard...