Recently added articles from Sampling Theory in Signal and Image Processing:

Preface.

Jan 01, 2008; Jerri, Abdul J. ... Our journal is now in its seventh volume. We are proud of publishing the fundamental contributions to the interdisciplinary field of sampling that includes wavelets and harmonic analysis. We have six papers in this issue that represent ...

Tight frame completions with prescribed norms.(Technical report)

Jan 01, 2008; Massey, P.G. ... Abstract Let H be a finite dimensional (real or complex) Hilbert space and let [{[a.sub.i]}.sup.[infinity].sub.i=1] be a non-increasing sequence of positive numbers. Given a finite sequence of vectors F = [{[f.sub.i]}.sup.p.sub.i=1] in H we find necessary and sufficient ...

Hermite distributed approximating functionals as almost-ideal low-pass filters.(Technical report)

Jan 01, 2008; Bodmann, Bernhard G. ... Abstract The two-parameter family of Hermite Distributed Approximating Functionals (HDAFs) is shown to possess all properties that are essential requirements in filter design. When properly scaled, HDAFs provide an arbitrarily sharp high-frequency cut-off while retaining their ...

Matrix representation of operators using frames.(Technical report)

Jan 01, 2008; Balazs, Peter ... Abstract This paper addresses how to find a matrix representation of operators on a Hilbert space H with Bessel sequences, frames, and Riesz bases. In many applications these sequences are often preferable to orthonormal bases (ONBs). Therefore, it is useful to extend the known ...

Series expansion for functions bandlimited to a ball.(Technical report)

Jan 01, 2008; Campbell, L. Lorne ... Abstract An expansion related to the sampling theorem is derived for functions with Fourier transforms that vanish outside a ball in d dimensions. Such functions are determined by weighted averages of their values on a sequence of spheres in [R.sup.d]. The number of measurements ...

The tensor product of frames.(Technical report)

Jan 01, 2008; Bourouihiya, Abdelkrim ... Abstract In this paper we prove that the tensor product of two sequences is a frame (Riesz basis) if and only if each part of this product is a frame (Riesz basis). Using this result, we extend some density and sampling theorems to higher dimensions. To prove the part of our ...

Time and memory requirements of the nonequispaced FFT.(fast Fourier transform )(Technical report)

Jan 01, 2008; Kunis, Stefan ... Abstract We consider the fast Fourier transform at nonequispaced nodes (NFFT), and give detailed information on the time and memory requirements of its building blocks. This manuscript reviews the state of the art approaches and focuses within the most successful scheme on the ...