This contribution deals with the problem of structure determination for generalized orthonormal basis models used in system identiication. The model structure is parameterized by a pre-speciied set of poles. Given this structure and experimental data a model can be estimated using linear regression techniques. Since the variance of the estimated model increases with the number of estimated para...

We study some natural empirical processes determined by uniformly convex Banach spaces with modulus of convexity of power type 2. Results of this kind were extensively studied in a Hilbertian setting, and became an important tool for investigations, for example, of the behaviour of various random sets of vectors (as in [14, 15, 7, 16, 2, 6]). We then apply these results to address a problem of ...

Paley and Wiener have formulated a criterion for a set of functions {gn} to be "near" a given orthonormal set {/w}. The interest of this criterion is that it guarantees the set {gn} to have expansion properties similar to an orthonormal set. In particular, they show that the set \gn) approximately satisfies Parseval's formula. In the first part of this paper we show that, conversely, if a set {...

We describe some constructions of orthonormal lattices in totally real subfields of cyclotomic fields, obtained by endowing their ring of integers with a trace form. We also describe constructions of quaternion division algebras over such fields. Orthonormal lattices and quaternion division algebras over totally real fields find use in wireless networks in ultra wideband communication, and we d...

We construct a uniformly bounded orthonormal almost greedy basis for L p ([0, 1]), 1 < p < ∞. The example shows that it is not possible to extend Orlicz's theorem, stating that there are no uniformly bounded orthonormal unconditional bases for L p ([0, 1]), p = 2, to the class of almost greedy bases.

To solve the problem of base frame calibration for coordinated multi-robot system, a new method is proposed in this paper. It is carried out through a series of ‘‘handclasp’’ manipulations between two coordinated robots, then a preliminary result can be reached by the calibrating equation. After that, in order tomake sure that the calibrated rotationmatrix is orthonormal, an optimal estimation ...