We present a framework for the study of q-differential equations satisfied by q-semi-classical orthogonal systems. As an example, we identify the q-differential equation satisfied by a deformed version of the little q-Jacobi polynomials as a guage transformation of a special case of the associated linear problem for q-PV I . We obtain a parametrization of the associated linear problem in terms ...

We study the use of para-orthogonal polynomials in solving the frequency analysis problem. Through a transformation of Delsarte and Genin, we present an approach for the frequency analysis by using the zeros and Christoffel numbers of polynomials orthogonal on the real line. This leads to a simple and fast algorithm for the estimation of frequencies. We also provide a new method, faster than th...

This paper considers the identiiability of state space models for a system that is expressed as a linear fractional transformation (LFT): a constant matrix (containing identiied parameters) in feedback with a nite-dimensional, block-diagonal (\structured") linear operator. This model structure can represent linear time-invariant, linear parameter-varying, uncertain, and multidimensional systems...

—The method of block orthogonal amplitude modulation (QAM) is presented and the demodulation recognition method is studied in this paper. Based on ordinary orthogonal modulation, the basic feature vector is extracted from the received signal cluster sample to estimate the signal parameters of data block for achievement of data block demodulation by using matrix transformation which can reach t...

CORDIC based cascade orthogonal IIR digital filters have sharp transition band and exhibit low sensitivity in both pass band and stop band which are suitable for VLSI implementations. However, the achievable sample rate of these filters is limited due to the presence of feedback loops. To overcome the speed limitation and achieve high-speed/lowpower implementations, a novel algorithm transforma...

An MCHF atomic-structure package is presented based on dynamic memory allocation, sparse matrix methods, and a recently developed angular library. It is meant for large-scale calculations in a basis of orthogonal orbitals for groups of LS terms of arbitrary parity. For Breit-Pauli calculations, all operators – spin-orbit, spin-other orbit, spin-spin, and orbit-orbit – may be included. For trans...

The linear scale invariance of the multivariate alteration detection (MAD) transformation is used to obtain invariant pixels for automatic relative radiometric normalization of time series of multispectral data. Normalization by means of ordinary least squares regression method is compared with normalization using orthogonal regression. The procedure is applied to Landsat TM images over Nevada,...

Nanopositioning and nanomeasuring machines are 3D coordinate measuring systems with nanometer precision at measurement volumes in the cubic centimeter range. The base is formed by an interferometer system a common mirror corner. orthogonality deviations of corner require transformation axes. uncertainty must be taken into account overall budget. Starting from complete model, result model simpli...