On the Well-Posedness of the Rational Covariance Extension Problem

Current and Future Directions in Applied Mathematics ◽

10.1007/978-1-4612-2012-1_13 ◽

1997 ◽

pp. 83-108 ◽

Cited By ~ 14

Author(s):

Christopher I. Byrnes ◽

Henry J. Landau ◽

Anders Lindquist

Keyword(s):

Extension Problem ◽

Well Posedness ◽

Covariance Extension

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On Reproducing Kernels and the Continuous Covariance Extension Problem

Analysis and Partial Differential Equations ◽

10.1201/9781482276923-36 ◽

1989 ◽

pp. 465-520

Keyword(s):

Reproducing Kernels ◽

Extension Problem ◽

Covariance Extension

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On the solutions of the rational covariance extension problem corresponding to pseudopolynomials having boundary zeros

2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601) ◽

10.1109/cdc.2004.1429664 ◽

2004 ◽

Cited By ~ 4

Author(s):

H.I. Nurdin ◽

A. Bagchi

Keyword(s):

Extension Problem ◽

Covariance Extension

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On the Solutions of the Rational Covariance Extension Problem Corresponding to Pseudopolynomials Having Boundary Zeros

IEEE Transactions on Automatic Control ◽

10.1109/tac.2005.863503 ◽

2006 ◽

Vol 51 (2) ◽

pp. 350-355 ◽

Cited By ~ 4

Author(s):

H.I. Nurdin ◽

A. Bagchi

Keyword(s):

Extension Problem ◽

Covariance Extension

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A Maximum Entropy Solution of the Covariance Extension Problem for Reciprocal Processes

IEEE Transactions on Automatic Control ◽

10.1109/tac.2011.2125050 ◽

2011 ◽

Vol 56 (9) ◽

pp. 1999-2012 ◽

Cited By ~ 27

Author(s):

Francesca P. Carli ◽

Augusto Ferrante ◽

Michele Pavon ◽

Giorgio Picci

Keyword(s):

Maximum Entropy ◽

Entropy Solution ◽

Extension Problem ◽

Covariance Extension ◽

Reciprocal Processes

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The multidimensional circulant rational covariance extension problem: Solutions and applications in image compression

2015 54th IEEE Conference on Decision and Control (CDC) ◽

10.1109/cdc.2015.7403052 ◽

2015 ◽

Cited By ~ 1

Author(s):

Axel Ringh ◽

Johan Karlsson ◽

Anders Lindquist

Keyword(s):

Image Compression ◽

Extension Problem ◽

Covariance Extension

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The Circulant Rational Covariance Extension Problem: The Complete Solution

IEEE Transactions on Automatic Control ◽

10.1109/tac.2013.2270591 ◽

2013 ◽

Vol 58 (11) ◽

pp. 2848-2861 ◽

Cited By ~ 18

Author(s):

Anders G. Lindquist ◽

Giorgio Picci

Keyword(s):

Complete Solution ◽

Extension Problem ◽

Covariance Extension

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A Convex Optimization Approach to the Rational Covariance Extension Problem

SIAM Journal on Control and Optimization ◽

10.1137/s0363012997321553 ◽

1998 ◽

Vol 37 (1) ◽

pp. 211-229 ◽

Cited By ~ 98

Author(s):

Christopher I. Byrnes ◽

Sergei V. Gusev ◽

Anders Lindquist

Keyword(s):

Convex Optimization ◽

Extension Problem ◽

Optimization Approach ◽

Covariance Extension

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An algebraic characterization of covariance extension problem and its applications

42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475) ◽

10.1109/cdc.2003.1271929 ◽

2004 ◽

Author(s):

A. Ohara

Keyword(s):

Algebraic Characterization ◽

Extension Problem ◽

Covariance Extension

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Image compression by means of the multidimensional circulant covariance extension problem – Revisited

2020 59th IEEE Conference on Decision and Control (CDC) ◽

10.1109/cdc42340.2020.9304228 ◽

2020 ◽

Author(s):

Tommaso Benciolini ◽

Tommaso Grigoletto ◽

Mattia Zorzi

Keyword(s):

Image Compression ◽

Extension Problem ◽

Covariance Extension

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The geometry of positive real functions with applications to the rational covariance extension problem

Proceedings of 1994 33rd IEEE Conference on Decision and Control ◽

10.1109/cdc.1994.411772 ◽

2002 ◽

Author(s):

C.I. Byrnes ◽

A. Lindquist ◽

S.V. Gusev ◽

A.S. Matveev

Keyword(s):

Extension Problem ◽

Positive Real ◽

Real Functions ◽

Positive Real Functions ◽

Covariance Extension

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