For visualization of multivariable data, multivariate cube meets with the limitation of screen and human vision. Retinal variables are integrated into multivariate cube to enhance its visual characteristics. The selective feature of variables and associative feature of the values of the same variable are improved with the integration of retinal variable into the set of visual variables. The sel...

The GM-MDS conjecture of Dau et al. (ISIT 2014) speculates that the MDS condition, which guarantees the existence of MDS matrices with a prescribed set of zeros over large fields, is in fact sufficient for existence of such matrices over small fields. We prove this conjecture.

A major deficiency in state-of-the-art automatic speech recognition (ASR) systems is the lack of robustness in additive and convolutional noise. The model of auditory perception (PEMO), developed by Dau et al. (1996a) for psychoacoustical purposes, partly overcomes these difficulties when used as a front end for automatic speech recognition. To further improve the performance of this auditory-b...

In this section, we briefly present the formalism we use. This formalism aims at describing the state of a system and its dynamic behaviour in an algebraic framework [DG 94]. It was first introduced in a case study on a formal specification of the embedded safety part of an automatic subway pilot [DM 91], [Dau 92], [DGM 93], in order to cope with the large number of variables whose values made ...

1 Formal Logic with Conceptual Graphs 3 Frithjof Dau 1.

G(u,u',u") = 0, (1) where u = u(x, x,..., x), and u', u" denote all the first and second partial derivatives of u. For simplicity we will assume here that both u and G are scalars and denote by ua, uab, the partial derivatives dau and respectively dahu; a,b =1,2, ..., n+1. Let u (x) be a given solution of (1). Our equation is said to be elliptic or hyperbolic at u°(x) according to whether the (...

We consider the problem of designing optimal linear codes (in terms of having the largest minimum distance) subject to a support constraint on the generator matrix. We show that the largest minimum distance can be achieved by a subcode of a Reed-Solomon code of small field size. As a by-product of this result, we settle the GM-MDS conjecture of Dau et. al. in the affirmative.

In this research various objective quality measures are evaluated in order to predict the intelligibility for a wide range of non-linearly processed speech signals and speech degraded by additive noise. The obtained results are compared with the prediction results of a more advanced perceptual-based model proposed by Dau et al. and an objective intelligibility measure, namely the coherence spee...