Wiener Reconstruction, SVD and ‘Optimal Functional Bases: Application For Redshift Galaxy Catalogs

Saleem Zaroubi

Wiener Reconstruction, SVD and ‘Optimal Functional Bases: Application For Redshift Galaxy Catalogs

Physics

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

The formalism of Wiener filtering is applied to reconstruct, in terms of spherical harmonics, the projected $4\pi$ galaxy distribution of a mock IRAS 1.2 Jy catalog with a `Zone of Avoidance' $|b| = 15^\circ$. The Singular Value Decomposition al gorithm is utilized as an extra-regularizer in order to stabilize the inversion. This case sheds light on the amount of useful information contained in the data, and also suggests a method for obtaining an `optimal' functional basis, based on our \prior knowledge, for the purposes of likelihood analysis and Wiener reconstruction of cosmological data sets. The applicability of such a functional basis for redshift galaxy catalogs is also discussed.
Comment: To appear in the proceedings of the XXXth MORIOND meeting: "Clustering in the Universe". 6 pages, 4 figures included; uuencoded, compressed PostScript file

Original language	American English
Title of host publication	Clustering in the Universe
Editors	S. Maurogordato
Publisher	Atlantica Séguier Frontières
Pages	135-142
Volume	30
State	Published - 1995
Event	Proceedings of the XXXth Rencontres de Moriond, - Les Arcs, Savoie, France Duration: 11 Mar 1995 → 18 Mar 1995

Conference

Conference	Proceedings of the XXXth Rencontres de Moriond,
Country/Territory	France
City	Les Arcs, Savoie
Period	11/03/95 → 18/03/95

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Cite this

@inproceedings{cd21ad179cb34eb880630fe478ad2d59,

title = "Wiener Reconstruction, SVD and {\textquoteleft}Optimal Functional Bases: Application For Redshift Galaxy Catalogs",

abstract = "The formalism of Wiener filtering is applied to reconstruct, in terms of spherical harmonics, the projected \$4\textbackslash{}pi\$ galaxy distribution of a mock IRAS 1.2 Jy catalog with a `Zone of Avoidance' \$|b| = 15\textasciicircum{}\textbackslash{}circ\$. The Singular Value Decomposition al gorithm is utilized as an extra-regularizer in order to stabilize the inversion. This case sheds light on the amount of useful information contained in the data, and also suggests a method for obtaining an `optimal' functional basis, based on our \textbackslash{}prior knowledge, for the purposes of likelihood analysis and Wiener reconstruction of cosmological data sets. The applicability of such a functional basis for redshift galaxy catalogs is also discussed. Comment: To appear in the proceedings of the XXXth MORIOND meeting: {"}Clustering in the Universe{"}. 6 pages, 4 figures included; uuencoded, compressed PostScript file",

author = "Saleem Zaroubi",

year = "1995",

language = "American English",

volume = "30",

publisher = "Atlantica S{\'e}guier Fronti{\`e}res",

pages = "135--142",

editor = "\{Maurogordato \}, S.",

booktitle = "Clustering in the Universe",

note = "Proceedings of the XXXth Rencontres de Moriond, ; Conference date: 11-03-1995 Through 18-03-1995",

}

TY - GEN

T1 - Wiener Reconstruction, SVD and ‘Optimal Functional Bases: Application For Redshift Galaxy Catalogs

AU - Zaroubi, Saleem

PY - 1995

Y1 - 1995

N2 - The formalism of Wiener filtering is applied to reconstruct, in terms of spherical harmonics, the projected $4\pi$ galaxy distribution of a mock IRAS 1.2 Jy catalog with a `Zone of Avoidance' $|b| = 15^\circ$. The Singular Value Decomposition al gorithm is utilized as an extra-regularizer in order to stabilize the inversion. This case sheds light on the amount of useful information contained in the data, and also suggests a method for obtaining an `optimal' functional basis, based on our \prior knowledge, for the purposes of likelihood analysis and Wiener reconstruction of cosmological data sets. The applicability of such a functional basis for redshift galaxy catalogs is also discussed. Comment: To appear in the proceedings of the XXXth MORIOND meeting: "Clustering in the Universe". 6 pages, 4 figures included; uuencoded, compressed PostScript file

AB - The formalism of Wiener filtering is applied to reconstruct, in terms of spherical harmonics, the projected $4\pi$ galaxy distribution of a mock IRAS 1.2 Jy catalog with a `Zone of Avoidance' $|b| = 15^\circ$. The Singular Value Decomposition al gorithm is utilized as an extra-regularizer in order to stabilize the inversion. This case sheds light on the amount of useful information contained in the data, and also suggests a method for obtaining an `optimal' functional basis, based on our \prior knowledge, for the purposes of likelihood analysis and Wiener reconstruction of cosmological data sets. The applicability of such a functional basis for redshift galaxy catalogs is also discussed. Comment: To appear in the proceedings of the XXXth MORIOND meeting: "Clustering in the Universe". 6 pages, 4 figures included; uuencoded, compressed PostScript file

M3 - Conference contribution

VL - 30

SP - 135

EP - 142

BT - Clustering in the Universe

A2 - Maurogordato , S.

PB - Atlantica Séguier Frontières

T2 - Proceedings of the XXXth Rencontres de Moriond,

Y2 - 11 March 1995 through 18 March 1995

ER -

Wiener Reconstruction, SVD and ‘Optimal Functional Bases: Application For Redshift Galaxy Catalogs

Abstract

Conference

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