Local distinguishability of generic unentangled orthonormal bases

Generic local distinguishability and completely entangled subspaces

G-Frames, g-orthonormal bases and g-Riesz bases

G-Frames in Hilbert spaces are a redundant set of operators which yield a representation for each vector in the space. In this paper we investigate the connection between g-frames, g-orthonormal bases and g-Riesz bases. We show that a family of bounded operators is a g-Bessel sequences if and only if the Gram matrix associated to its denes a bounded operator.

On local orthonormal bases for classification and regression

We describe extensions to the \best-basis" method to select orthonormal bases suitable for signal classiica-tion and regression problems from a large collection of orthonormal bases. For classiication problems, we select the basis which maximizes relative entropy of time-frequency energy distributions among classes. For regression problems, we select the basis which tries to minimize the regres...

The Utility of Orthonormal Bases

There has been recent interest in using orthonormalised forms of xed denominator model structures for system identiication. However, modulo numerical conditioning considerations, the transfer function estimates obtained by using these sometimes complex to implement structures are identical to that obtained by simply pre-ltering the input with an all pole denominator (with poles the same as the ...

Orthonormal Bases for System Identiication

In this paper we present a general and very simple construction for generating complete orthonormal bases for system identiication. This construction provides a unifying formulation of orthonormal bases since the common FIR and recently popular Laguerre and Kautz model structures are restrictive special cases of our construction. A distinguishing feature of our construction is that it can gener...