# Applications of Wavelets to the Analysis of Cosmic Microwave Background Maps

@article{Tenorio1999ApplicationsOW, title={Applications of Wavelets to the Analysis of Cosmic Microwave Background Maps}, author={L. Tenorio and Andrew H. Jaffe and Shaul Hanany and C. Lineweaver}, journal={Monthly Notices of the Royal Astronomical Society}, year={1999}, volume={310}, pages={823-834} }

We consider wavelets as a tool to perform a variety of tasks in the context of analyzing cosmic microwave background (CMB) maps. Using Spherical Haar Wavelets we define a position and angular-scale-dependent measure of power that can be used to assess the existence of spatial structure. We apply planar Daubechies wavelets for the identification and removal of points sources from small sections of sky maps. Our technique can successfully identify virtually all point sources which are above 3…

## 62 Citations

### Isotropic wavelets: a powerful tool to extract point sources from cosmic microwave background maps

- Physics
- 1999

It is the aim of this paper to introduce the use of isotropic wavelets to detect and determine the flux of point sources appearing in cosmic microwave background (CMB) maps. The most suitable wavelet…

### Testing the Gaussianity of the COBE DMR data with spherical wavelets

- Computer Science
- 2000

It is concluded that the spherical wavelet technique shows no strong evidence of non-Gaussianity in the COBE-DMR data, and the Gaussianity of the CMB data is investigated using an analysis based on spherical Haar wavelets.

### The performance of spherical wavelets to detect non‐Gaussianity in the cosmic microwave background sky

- Mathematics
- 2002

We investigate the performance of spherical wavelets in discriminating between standard inflationary (Gaussian) and non-Gaussian models. For the latter we consider small perturbations of the Gaussian…

### Polarized wavelets and curvelets on the sphere

- Physics
- 2009

The statistics of the temperature anisotropies in the primordial cosmic microwave background radiation field provide a wealth of information for cosmology and for estimating cosmological parameters.…

### Wavelets and curvelets on the sphere for polarized data

- PhysicsSPIE Optical Engineering + Applications
- 2007

The statistics of the temperature anisotropies in the primordial Cosmic Microwave Background radiation field provide a wealth of information for cosmology and the estimation of cosmological…

### Neural networks and the separation of cosmic microwave background and astrophysical signals in sky maps

- Physics
- 2000

We implement an independent component analysis (ICA) algorithm to separate signals of different origin in sky maps at several frequencies. Owing to its self-organizing capability, it works without…

### Extracting cosmic microwave background polarization from satellite astrophysical maps

- Physics
- 2004

We present the application of the fast independent component analysis (FASTICA) technique for blind component separation to polarized astrophysical emission. We study how the cosmic microwave…

### Probing the Gaussianity and the statistical isotropy of the CMB with spherical wavelets

- Computer ScienceSPIE Optical Engineering + Applications
- 2007

This study helps to define a coherent framework for the origin of the Universe, its evolution and the structure formation, and those based on wavelets are providing one of the most interesting insights to the problem.

### Maximum-entropy image reconstruction using wavelets

- Geology
- 2004

The maximum-entropy method (MEM) is often used for enhancing astronomical images and, in particular, has recently been applied to cosmic microwave background (CMB) observations. Wavelet functions are…

### Scaling and correlation analysis of galactic images

- Physics
- 2001

ABSTRA C T Different scaling and autocorrelation characteristics and their application to astronomical images are discussed: the structure function, the autocorrelation function, Fourier spectra and…

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