58,183 research outputs found
Data compression and harmonic analysis
In this paper we review some recent interactions between harmonic analysis and data compression. The story goes back of course to Shannon’
Engineering studies related to geodetic and oceanographic remote sensing using short pulse techniques
For the Skylab S-193 radar altimeter, data processing flow charts and identification of calibration requirements and problem areas for defined S-193 altimeter experiments are presented. An analysis and simulation of the relationship between one particular S-193 measurement and the parameter of interest for determining the sea surface scattering cross-section are considered. For the GEOS-C radar altimeter, results are presented for system analyses pertaining to signal-to-noise ratio, pulse compression threshold behavior, altimeter measurement variance characteristics, desirability of onboard averaging, tracker bandwidth considerations, and statistical character of the altimeter data in relation to harmonic analysis properties of the geodetic signal
Seismic Data Compression using Wave Atom Transform
Seismic data compression SDC is crucially confronted in the oil Industry with large data volumes and Incomplete data measurements In this research we present a comprehensive method of exploiting wave packets to perform seismic data compression Wave atoms are the modern addition to the collection of mathematical transforms for harmonic computational analysis Wave atoms are variant of 2D wavelet packets that keep an isotropic aspect ratio Wave atoms have a spiky frequency localization that cannot be attained using a filter bank based on wavelet packets and offer a significantly sparser expansion for oscillatory functions than wavelets curvelets and Gabor atom
Expansion-maximization-compression algorithm with spherical harmonics for single particle imaging with X-ray lasers
In 3D single particle imaging with X-ray free-electron lasers, particle
orientation is not recorded during measurement but is instead recovered as a
necessary step in the reconstruction of a 3D image from the diffraction data.
Here we use harmonic analysis on the sphere to cleanly separate the angu- lar
and radial degrees of freedom of this problem, providing new opportunities to
efficiently use data and computational resources. We develop the
Expansion-Maximization-Compression algorithm into a shell-by-shell approach and
implement an angular bandwidth limit that can be gradually raised during the
reconstruction. We study the minimum number of patterns and minimum rotation
sampling required for a desired angular and radial resolution. These extensions
provide new av- enues to improve computational efficiency and speed of
convergence, which are critically important considering the very large datasets
expected from experiment
Redshift Distortions and Clustering in the PSCz Survey
We have constrained the redshift-distortion parameter and the real-space power spectrum of the IRAS PSCz survey using a spherical-harmonic redshift-distortion analysis combined with a data compression method which is designed to deal with correlated parameters. Our latest result, , strongly rules out
Wavemoth -- Fast spherical harmonic transforms by butterfly matrix compression
We present Wavemoth, an experimental open source code for computing scalar
spherical harmonic transforms (SHTs). Such transforms are ubiquitous in
astronomical data analysis. Our code performs substantially better than
existing publicly available codes due to improvements on two fronts. First, the
computational core is made more efficient by using small amounts of precomputed
data, as well as paying attention to CPU instruction pipelining and cache
usage. Second, Wavemoth makes use of a fast and numerically stable algorithm
based on compressing a set of linear operators in a precomputation step. The
resulting SHT scales as O(L^2 (log L)^2) for the resolution range of practical
interest, where L denotes the spherical harmonic truncation degree. For low and
medium-range resolutions, Wavemoth tends to be twice as fast as libpsht, which
is the current state of the art implementation for the HEALPix grid. At the
resolution of the Planck experiment, L ~ 4000, Wavemoth is between three and
six times faster than libpsht, depending on the computer architecture and the
required precision. Due to the experimental nature of the project, only
spherical harmonic synthesis is currently supported, although adding support or
spherical harmonic analysis should be trivial.Comment: 13 pages, 6 figures, accepted by ApJ
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