#### Filter Results:

- Full text PDF available (9)

#### Publication Year

2006

2016

- This year (0)
- Last 5 years (3)
- Last 10 years (8)

#### Publication Type

#### Co-author

#### Journals and Conferences

Learn More

- A. G. Garćıa, Marisol Hernandez-Medina, Gerardo Pérez-Villalón
- 2007

The aim of this paper is to derive stable generalized sampling in a shift-invariant space with ` stable generators. This is done in the light of the theory of frames in the product Hilbert space… (More)

- Antonio G. Garćıa, Gerardo Pérez-Villalón
- 2013

Nowadays the topic of sampling in a shift-invariant space is having a significant impact: it avoids most of the problems associated with classical Shannon’s theory. Under appropriate hypotheses, any… (More)

- Antonio G. Garćıa, Gerardo Pérez-Villalón
- 2006

In this paper we investigate approximation from shift-invariant spaces by using generalized sampling formulas. These sampling formulas involve samples of filtered versions of the function itself. The… (More)

- Antonio G. García, Miguel Angel Hernández-Medina, Gerardo Pérez-Villalón
- IEEE Transactions on Signal Processing
- 2009

It is well known that, under appropriate hypotheses, a sampling formula allows us to recover any function in a principal shift-invariant space from its samples taken with sampling period one.… (More)

- Antonio G. García, Gerardo Pérez-Villalón
- IJWMIP
- 2007

This article concerns the problem of stable recovering of any function in a shiftinvariant space from irregular samples of some filtered versions of the function itself. These samples arise as a… (More)

- Gerardo Pérez-Villalón, A. Portal
- Appl. Math. Lett.
- 2012

We study the reconstruction of cardinal splines f(t), from their average samples yn = f ∗h(n), n ∈ Z, when the average function h(t) has support in [−1/2, 1/2]. We investigate the existence and… (More)

The aim of this work is to solve a question raised for average sampling in shift-invariant spaces by using the well-known matrix pencil theory. In many common situations in sampling theory, the… (More)

- Gerardo Pérez-Villalón
- IEEE Transactions on Signal Processing
- 2010

We consider the problem of approximating a regular function f(t) from its samples, f(nT), taken in a uniform grid. Quasi-interpolation schemes approximate f(t) with a dilated version of a linear… (More)

In this work we provide polyphase, modulation, and frame theoretical analyses of a filter bank on a discrete abelian group. Thus, multidimensional or cyclic filter banks as well as filter banks for… (More)

- Gerardo Pérez-Villalón, A. Portal
- J. Computational Applied Mathematics
- 2013

There exist efficient methods to compute the wavelet coefficients of a function f(t) from its point samples f ( T [n + τ ] ) , n ∈ N. However, in many applications the available samples are average… (More)