we give some new results on sparse signal recovery in the presence of noise, forweighted spaces. traditionally, were used dictionaries that have the norm equal to 1, but, forrandom dictionaries this condition is rarely satised. moreover, we give better estimationsthen the ones given recently by cai, wang and xu.

In this paper we study the duality of Bessel and g-Bessel sequences in Hilbert spaces. We show that a Bessel sequence is an inner summand of a frame and the sum of any Bessel sequence with Bessel bound less than one with a Parseval frame is a frame. Next we develop this results to the g-frame situation.

On monocular vision, in the process of the hand gesture recognition, when the camera poses are different, the same motion trajectory can project into different trajectory projections, which will affect the recognition and application of the trajectory. To solve this problem, using the square calibration, a plane projection’s standardization model is built and used in a new active vision based v...

A novel approach based on spatiotemporal differentialoperators is developed here for broadband, velocity-dependent scattering. Unlike the spectral-domain representations, the new method facilitates a compact formulation for scattering by arbitrary excitation signals, in the presence of moving objects. In free space (vacuum), relativistically exact formulas are developed. After developing the ge...

Tracking strategies usually employ motion and appearance models to locate observations of the tracked object in successive frames. The subsequent model update procedure renders the approach highly sensitive to the inevitable observation and occlusion noise processes. In this work, two robust mechanisms are proposed which rely on knowledge about the ground plane. First a highly constrained bound...

Within the scope of literature, influence openings within infill walls that are bounded by a reinforced concrete frame and excited seismic drift forces in both in- out-of-plane direction is still uncharted. Therefore, 3D micromodel was developed calibrated thereafter, to gain more insight topic. The micromodels were against their equivalent physical test specimens in-plane, driven tests on fram...

INTRODUCTION In 2008 413,171 spinal fusion surgeries were performed [1]. The various reasons for the surgery include spondylothesis, spinal stenosis, and herniated discs among others [2]. These conditions can cause the intervertebral discs, cartilaginous shock absorbers, to degenerate. Ultimately, this can cause the vertebral bodies to rub on each other, causing pain and discomfort. Spinal fusi...

Frames play significant role in various areas of science and engineering. Motivated by the work of Chander Shekhar, S. K. Kaushik and Abas Askarizadeh, Mohammad Ali Dehghan, we introduce the concepts of $K$-frames for $B(mathcal{H, K})$ and  we establish some result. Also, we consider the relationships between $K$-Frames and $K$-Operator Frames for $B(mathcal{H})$.

a generalization of the known results in fusion frames and $g$-frames theory to continuous fusion frames which defined by m. h. faroughi and r. ahmadi, is presented in this study. continuous resolution of the identity (cri) is introduced, a new family of cri is constructed, and a number of reconstruction formulas are obtained. also, new results are given on the duality of continuous fusion fram...