We introduce the concept of the modular function for a shiftinvariant subspace that can be represented by normalized tight frame generators for the shift-invariant subspace and prove that it is independent of the selections of the frame generators for the subspace. We shall apply it to study the connections between the dimension functions of wavelet frames for any expansive integer matrix A and...

We provide a frame-theoretic analysis of oversampled finite impulse response (FIR) and infinite impulse response (IIR) uniform filter banks (FB’s). Our analysis is based on a new relationship between the FB’s polyphase matrices and the frame operator corresponding to an FB. For a given oversampled analysis FB, we present a parameterization of all synthesis FB’s providing perfect reconstruction....

2000, Optical Engineering, 38, 2894–2899 ) In order to improve the performance of a linear auto-associator (which is a neural network model), we explore the use of several pre-processing techniques. The gist of our approach is to represent each pattern by one or several pre-processed (i.e. filtered) versions of the original pattern (plus the original pattern). First, we compare the performance ...

One of the paramount problems manifest in modern cosmological theories is that of the initial singularity. Gasperini and Veneziano have proposed the pre-big-bang (PBB) model [2] based on the assumption that the Universe evolved out of a ten-dimensional Minkowski spacetime which is an exact vacuum of string theory, in hopes of resolving the singularity problem. Recently, Brandenberger, Easther a...

background hepatic fibrosis is an inclusion indicator for treatment and a major independent predictor of treatment response in patients with chronic hepatitis c. liver biopsy, considered as the “gold standard” for evaluating liver fibrosis, has carried some drawbacks. currently used noninvasive predictors of fibrosis are considered less accurate than liver biopsy. objectives our aim was to asse...

The recent advances in visual communications make restoration of image sequences an increasingly important problem. In addition, this problem finds applications in other fields such as robot guidance and target tracking. Restoring the individual frames of an image sequence independently is a suboptirnal approach because the between frame relations of the image sequence are not explicitly incorp...

A case study of retrofitting a 20-story pre-Northridge steel moment-frame building is presented. Twelve retrofit 4 schemes are developed with varying degrees of intervention. Three retrofitting techniques are considered: up5 grading the brittle beam-to-column moment resisting connections, and implementing either conventional or 6 buckling-restrained brace elements within the existing moment-fra...

We analyze the construction of a sequence space Θ̃, resp. a sequence of sequence spaces, in order to have {gi} ∞ i=1 as a Θ̃-frame or Banach frame for a Banach space X , resp. pre-F -frame or F -frame for a Fréchet space XF = ∩s∈N0Xs, where {Xs}s∈N0 is a sequence of Banach spaces.

We previously showed that most VD and DJ gene combinations from newborn surface Ig- pre-B cells had one to three predominant junctions, all of which occurred at the sites of short sequence homologies between the two coding ends. Because the majority of sequences that are present in pre-B cells are in-frame, however, the possibility existed that the frequency of occurrence of predominant IgH jun...