Since its introduction by Gauss, Matrix Algebra has facilitated understanding of scientific problems, hiding distracting details and finding more elegant and efficient ways of computational solving. Todays largest problems, which often originate from multidimensional data, might profit from even higher levels of abstraction. We developed a framework for solving tensor structured problems with t...

Advances in information technologies are narrowing the gap that traditionally existed between computing methods for radar signal processing, digital communications, and digital signal processing in general. A new field is becoming more stable as new applications and challenges are met for on board, real time operations. This field is termed computing methods for radar communications signal proc...

This paper describes a lookup table for the addressing of an optimally shaped constellation. The method is based on partitioning the subconstellations into shaping macro-shells of integer bit rate and increasing average energy. The macro-shells do not need to have an equal number of points. A lookup table is used to select a subset of the partitions in the cartesian product space. By devising a...

There has been a trend in the past decade to describe the large-scale structures in the Universe as a (multi)fractal set. However, one of the main objections raised by the opponents of this approach deals with the transition to homogeneity. Moreover, they claim there is not enough sampling space to determine a scaling index which characterizes a (multi)fractal set. In this work we propose an al...

Signal and image reconstruction are among the problems most often faced by whoever works in the broad field of multidimensional signal processing. Thus, an introductory course on this subject would probably be of interest to advanced Electrical Engineering students, specially those interested in telecommunications, information theory, or signal / image processing in general. This paper is a rep...

Gabor lters have been applied sucessfully to a broad range of multidimensional signal processing and image processing tasks. The present paper considers the design of a single lter to segment a two-texture image. A new efcient algorithm for Gaborlter design is presented. The algorithm draws upon previous results that showed that the output of a Gaborltered texture is well represented by a Ricia...

The 1-D nonlinear differential operator (f) = (11)2 If" has been recently introduced to signal processing and has been found very useful for estimating the parameters of sinusoids and the modulating signals of AM—FM signals. It is called an energy operator because it can track the energy of an oscillator source generating a sinusoidal signal. In this paper we introduce the multidimensional exte...

Gaussian filters are widely used for image smoothing but it is well known that this type of filters blur the image features (e.g., edges). Anisotropic filtering draws more and more attention for its ability of featurepreserving smoothing. However, most existing anisotropic filters are quite time-consuming. In this report I will discuss the combination of anisotropic filtering and recursive impl...