in this paper, we first discuss about canonical dual of g-frameλp = {λip ∈ b(h, hi) : i ∈ i}, where λ = {λi ∈ b(h, hi) :i ∈ i} is a g-frame for a hilbert space h and p is the orthogonalprojection from h onto a closed subspace m. next, we provethat, if λ = {λi ∈ b(h, hi) : i ∈ i} and θ = {θi ∈ b(k, hi) :i ∈ i} be respective g-frames for non zero hilbert spaces hand k, and λ and θ are unitarily e...

Wireless systems with multiple transmit and receive antennas (MIMO systems) provide high capacity due to the plurality of modes available in the channel. Previous code designs for MIMO systems have focused primarily on multiplexed signaling for high data rate or diversity signaling for high link reliability. In this paper, based on previous work reported in [1, 2], and using results from frame ...

To construct three dimensional models from range data, the simultaneous registration of multiple views must be accomplished. There exists a natural hierarchy between the local problem of aligning two views and the global problem of maintaining a consistent network of relative orientation and positions between views. Our paper addresses the global problem, where we compute orientation and positi...

We address a well known problem of nonlinear image diffusion techniques, namely the loss of texture information. We do so by first determining that it is due to unaccounted correlation structure in the image which we subsequently mitigate by proposing a wavelet frame-based technique. This, by the same token establishes a theoretical bridge between the scale space methodology and the multiscale ...

sends a frame A to its point space pt(A). This is an important construction which enables quite a lot of point-sensitive topology, that is point set topology, to be done in a point-free way, that is using frames. In Section 1 we first set up the point space and the associated adjunction in what may seem to be a rather ad hoc fashion. After that, in Section 2, we show that the adjunction is schi...

We consider conditions on a given system F of vectors in Hilbert space H, forming a frame, which turn H into a reproducing kernel Hilbert space. It is assumed that the vectors in F are functions on some set Ω. We then identify conditions on these functions which automatically give H the structure of a reproducing kernel Hilbert space of functions on Ω. We further give an explicit formula for th...

We study some equivalency relations between Hilbert frames and closed subspaces of l2(I). We define also a distance between frames and we establish the geometric meaning of this metric. Finally we find the closest and respectively the nearest tight frame to a given frame.

Finite equal norm Parseval frames are a fundamental tool in applications of Hilbert space frame theory. We will derive classes of finite equal norm Parseval frames for use in applications as well as reviewing the status of the currently known classes.