Recently fusion frame was considered as a generalization of frame in Hilbert spaces. In this paper, we establish several new inequalities for fusion frames with a scalar in Hilbert spaces. It is shown that the results we obtained can immediately lead to the existing corresponding results when we choose suitable scalars. Mathematics subject classification (2010): 42C15, 47B40.

Abstract. Block sequences with respect to frames in Hilbert spaces have been defined. Examples have been provided to show that a block sequence with respect to a given frame may not even be a Bessel sequence. Also, a necessary and sufficient condition under which a block sequence with respect to a frame is a frame has been given. Further, applications of block sequences to obtain Fusion frames ...

Given a frame for a subspace W of a Hilbert space H, we consider a class of oblique dual frame sequences. These dual frame sequences are not constrained to lie in W . Our main focus is on shift-invariant frame sequences of the form {φ(· − k)}k∈Z in subspaces of L2(R); for such frame sequences we are able to characterize the set of shift-invariant oblique dual Bessel sequences. Given frame seque...

In this study, video super-resolution using particle swarm optimization (PSO) is proposed to super-resolve low-resolution (LR) frames. The proposed super-resolution method consists of three main modules, i.e., supersampling, spatio-temporal classification, and frame fusion using PSO. In the proposed method, the LR frames are super-resolved to high-resolution frames through the fusion of four fu...

Adaptive Frame Selection for Enhanced Face Recognition in Low-Resolution Videos by Raghavender Reddy Jillela Master of Science in Electrical Engineering West Virginia University Arun Ross, PhD., Chair Performing face detection and recognition in low-resolution videos (e.g., surveillance videos) is a challenging task. To enhance the biometric content in these videos, imagelevel and score-level f...

PURPOSE We investigated the expression of human endogenous retrovirus K (HERV-K) transcripts in various tumor tissues and transformed cell lines. EXPERIMENTAL DESIGN We performed reverse transcription-PCR analysis to examine expression of env reading frame transcripts in mammary carcinoma biopsies, germ-cell tumor samples, ovarian carcinomas, and lymphocytes of leukemic patients, as well as i...

Nomenclature A = n×n matrix with elements depending by) , 1 (2 n i i   variances A 1 = (n-1)×(n-1) matrix with elements depending by) , 1 (2 n i i   variances a = output acceleration (perturbed signal) a c = cross-axis acceleration a i = input acceleration B = n×1 matrix with all elements equal to 1 B 1 = (n-1)×1 matrix with all elements equal to 1 B = bias b i = sensors measurement biases)...