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Lossless Linear Compression of Data with Minimal Dimension in Linear Minimum Variance Estimation
LMV estimation lossless compression linear transformation singular value
2011/11/11
Consider a Linear Minimum Variance (LMV) estimation problem where the linear transformation of data is needed to compress dimension of observation data without loss of performance. A necessary and su±...
Nudelman interpolation, parametrizations of lossless functions and balanced realizations
Parametrization Inner matrices Interpolation algorithms
2011/2/21
We investigate the parametrization issue for discrete-time stable allpass multivariable systems by means of a Schur algorithm involving a Nudelman interpolation condition.
Canonical lossless state-space systems: Staircase forms and the Schur algorithm
Lossless systems input normal forms output normal forms balanced canonical forms
2011/2/21
A new finite atlas of overlapping balanced canonical forms for multivariate discrete-time lossless systems is presented. The canonical forms have the property that the controllability matrix is positi...
The penalty incurred by imposing a finite delay constraint in lossless source coding of a memoryless source is investigated.
A Coder-Decoder model for use in Lossless Data Compression
A Coder-Decoder model Data Compression
2010/11/24
This article describes a technique of using a trigonometric function and combinatorial calculations to code or transform any finite sequence of binary numbers (0s and 1s) of any length to a unique set...
On Lossless Approximations, the Fluctuation-Dissipation Theorem, and Limitations of Measurements
Lossless Approximations Fluctuation-Dissipation Theorem Limitations of Measurements
2010/12/6
In this paper, we take a control-theoretic approach to answering some standard questions in statistical mechanics, and use the results to derive limitations of classical measurements.