Inexact projected gradients on unions of subspaces

Thomas Wiese; Lorenz Weiland; Wolfgang Utschick

doi:10.1109/ISIT.2017.8006525

Inexact projected gradients on unions of subspaces

Thomas Wiese, Lorenz Weiland, Wolfgang Utschick

Chair of Signal Processing

Technical University of Munich

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

4 Scopus citations

Abstract

We prove convergence of the projected gradient algorithm with inexact projections when applied to linear inverse problems with constraint sets that are unions of subspaces. Such an algorithm is useful for joint angle and delay estimation in MIMO radar, where classical estimators for angle estimation can be integrated into compressive sensing methods for range estimation.

Original language	English
Title of host publication	2017 IEEE International Symposium on Information Theory, ISIT 2017
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	236-240
Number of pages	5
ISBN (Electronic)	9781509040964
DOIs	https://doi.org/10.1109/ISIT.2017.8006525
State	Published - 9 Aug 2017
Event	2017 IEEE International Symposium on Information Theory, ISIT 2017 - Aachen, Germany Duration: 25 Jun 2017 → 30 Jun 2017

Publication series

Name	IEEE International Symposium on Information Theory - Proceedings
ISSN (Print)	2157-8095

Conference

Conference	2017 IEEE International Symposium on Information Theory, ISIT 2017
Country/Territory	Germany
City	Aachen
Period	25/06/17 → 30/06/17

Keywords

Iterative hard thresholding
Model-aware compressive sensing
Restricted isometry
Union of subspaces

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10.1109/ISIT.2017.8006525

Cite this

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title = "Inexact projected gradients on unions of subspaces",

abstract = "We prove convergence of the projected gradient algorithm with inexact projections when applied to linear inverse problems with constraint sets that are unions of subspaces. Such an algorithm is useful for joint angle and delay estimation in MIMO radar, where classical estimators for angle estimation can be integrated into compressive sensing methods for range estimation.",

keywords = "Iterative hard thresholding, Model-aware compressive sensing, Restricted isometry, Union of subspaces",

author = "Thomas Wiese and Lorenz Weiland and Wolfgang Utschick",

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year = "2017",

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doi = "10.1109/ISIT.2017.8006525",

language = "English",

series = "IEEE International Symposium on Information Theory - Proceedings",

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Wiese, T, Weiland, L & Utschick, W 2017, Inexact projected gradients on unions of subspaces. in 2017 IEEE International Symposium on Information Theory, ISIT 2017., 8006525, IEEE International Symposium on Information Theory - Proceedings, Institute of Electrical and Electronics Engineers Inc., pp. 236-240, 2017 IEEE International Symposium on Information Theory, ISIT 2017, Aachen, Germany, 25/06/17. https://doi.org/10.1109/ISIT.2017.8006525

Inexact projected gradients on unions of subspaces. / Wiese, Thomas; Weiland, Lorenz; Utschick, Wolfgang.
2017 IEEE International Symposium on Information Theory, ISIT 2017. Institute of Electrical and Electronics Engineers Inc., 2017. p. 236-240 8006525 (IEEE International Symposium on Information Theory - Proceedings).

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

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AB - We prove convergence of the projected gradient algorithm with inexact projections when applied to linear inverse problems with constraint sets that are unions of subspaces. Such an algorithm is useful for joint angle and delay estimation in MIMO radar, where classical estimators for angle estimation can be integrated into compressive sensing methods for range estimation.

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KW - Model-aware compressive sensing

KW - Restricted isometry

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ER -

Inexact projected gradients on unions of subspaces

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Keywords

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