On-line range prediction system, part 2

The on-line range prediction system is designed for providing a prediction of the target range in the case of a laser data dropout. It consists of real time implementation of a Kalman filter on an IBM PC/AT equipped with necessary hardware. The system was set up and tested at Crows Landing in the Fall of 1987. The improvements made on the on-line range prediction system during 1988 are examined. Solutions are proposed and discussed to the several problems encountered during system tests. Then, the improvements made on the filter software are explained, namely, accounting for the time lag and providing data continously. Finally, the ideas are mentioned that can be considered in the future

Finishing the euchromatic sequence of the human genome

The sequence of the human genome encodes the genetic instructions for human physiology, as well as rich information about human evolution. In 2001, the International Human Genome Sequencing Consortium reported a draft sequence of the euchromatic portion of the human genome. Since then, the international collaboration has worked to convert this draft into a genome sequence with high accuracy and nearly complete coverage. Here, we report the result of this finishing process. The current genome sequence (Build 35) contains 2.85 billion nucleotides interrupted by only 341 gaps. It covers ∼99% of the euchromatic genome and is accurate to an error rate of ∼1 event per 100,000 bases. Many of the remaining euchromatic gaps are associated with segmental duplications and will require focused work with new methods. The near-complete sequence, the first for a vertebrate, greatly improves the precision of biological analyses of the human genome including studies of gene number, birth and death. Notably, the human enome seems to encode only 20,000-25,000 protein-coding genes. The genome sequence reported here should serve as a firm foundation for biomedical research in the decades ahead

Multiresolution approximation scale and time-shift subspaces

\begin{abstract} Multiresolution Approximation subspaces are \L^2(\RR)-subspaces defined for each scale over all time-shifts, i.e., ``scale subspaces'', while with respect to a given wavelet, the signal space \L^2(\RR) not only admits orthogonal scale subspaces basis, but orthogonal ``time-shift subspaces'' basis as well. It is therefore natural to expect both scale subspaces and time-shift subspaces to play a role in Wavelet Theory and, in particular, in Multiresolution Approximation as well. This is what will be shown in the paper. \end{abstract

Multiresolution approximation scale and time-shift subspaces

\begin{abstract} Multiresolution Approximation subspaces are \L^2(\RR)-subspaces defined for each scale over all time-shifts, i.e., ``scale subspaces'', while with respect to a given wavelet, the signal space \L^2(\RR) not only admits orthogonal scale subspaces basis, but orthogonal ``time-shift subspaces'' basis as well. It is therefore natural to expect both scale subspaces and time-shift subspaces to play a role in Wavelet Theory and, in particular, in Multiresolution Approximation as well. This is what will be shown in the paper. \end{abstract

Time-shifts Generalized Multiresolution Analysis over Dyadic-Scaling Reducing Subspaces

\begin{abstract} A Generalized Multiresolution Analysis (GMRA) associated with a wavelet is a sequence of nested subspaces of the function space \L^2(\RR), with specific properties, and arranged in such a way that each of the subspaces corresponds to a scale $2^m$ over {\it all}\/ time-shifts $n$. These subspaces can be expressed in terms of a generating-wandering subspace --- of the dyadic-scaling operator --- spanned by orthonormal wavelet-functions --- generated from the wavelet. In this article we show that a GMRA can also be expressed in terms of subspaces for each time-shift $n$ over all scales $2^m$. This is achieved by means of ``elementary'' reducing subspaces of the dyadic-scaling operator. Consequently, Time-Shifts GMRA associated with wavelets, as well as ``sub-GMRA'' associated with ``sub-wavelets'' will then be introduced. \end{abstract