α-repetition/modulation and blind second-order identification

Philippe Ciblat; Antoine Chevreuil; Philippe Loubaton

doi:10.1109/ACSSC.1999.832326

α-repetition/modulation and blind second-order identification

Philippe Ciblat, Antoine Chevreuil, Philippe Loubaton

Université Gustave Eiffel

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

Abstract

In the context of redundant filter-bank precoders, we investigate the so-called α-repetition/modulation, for αϵ[0, 1/2 ], with regard to the blind second-order identification. For many α's, an algebraic result shows that the unknown channel can be recovered from the second-order statistics irrespective of both the channel zero location and the model over-determination. Namely, a structured subspace method provides an estimate of the channel. However, in the context of band-limited communication channels, numerical degeneracies appear for certain choices of α. We therefore analyze the numerical behavior of this method resorting to spheroidal wave sequences. We show there exist α's less than a bound depending on the channel bandwidth making the estimation robust to noise. Simulations are also provided.

Original language	English
Title of host publication	Conference Record of the 33rd Asilomar Conference on Signals, Systems, and Computers
Editors	Michael B. Matthews
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	220-224
Number of pages	5
ISBN (Electronic)	0780357000, 9780780357006
DOIs	https://doi.org/10.1109/ACSSC.1999.832326
Publication status	Published - 1 Jan 1999
Externally published	Yes
Event	33rd Asilomar Conference on Signals, Systems, and Computers, ACSSC 1999 - Pacific Grove, United States Duration: 24 Oct 1999 → 27 Oct 1999

Publication series

Name	Conference Record of the 33rd Asilomar Conference on Signals, Systems, and Computers
Volume	1

Conference

Conference	33rd Asilomar Conference on Signals, Systems, and Computers, ACSSC 1999
Country/Territory	United States
City	Pacific Grove
Period	24/10/99 → 27/10/99

Access to Document

10.1109/ACSSC.1999.832326

Cite this

Ciblat, P., Chevreuil, A., & Loubaton, P. (1999). α-repetition/modulation and blind second-order identification. In M. B. Matthews (Ed.), Conference Record of the 33rd Asilomar Conference on Signals, Systems, and Computers (pp. 220-224). Article 832326 (Conference Record of the 33rd Asilomar Conference on Signals, Systems, and Computers; Vol. 1). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ACSSC.1999.832326

Ciblat, Philippe ; Chevreuil, Antoine ; Loubaton, Philippe. / α-repetition/modulation and blind second-order identification. Conference Record of the 33rd Asilomar Conference on Signals, Systems, and Computers. editor / Michael B. Matthews. Institute of Electrical and Electronics Engineers Inc., 1999. pp. 220-224 (Conference Record of the 33rd Asilomar Conference on Signals, Systems, and Computers).

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title = "α-repetition/modulation and blind second-order identification",

abstract = "In the context of redundant filter-bank precoders, we investigate the so-called α-repetition/modulation, for αϵ[0, 1/2 ], with regard to the blind second-order identification. For many α's, an algebraic result shows that the unknown channel can be recovered from the second-order statistics irrespective of both the channel zero location and the model over-determination. Namely, a structured subspace method provides an estimate of the channel. However, in the context of band-limited communication channels, numerical degeneracies appear for certain choices of α. We therefore analyze the numerical behavior of this method resorting to spheroidal wave sequences. We show there exist α's less than a bound depending on the channel bandwidth making the estimation robust to noise. Simulations are also provided.",

author = "Philippe Ciblat and Antoine Chevreuil and Philippe Loubaton",

note = "Publisher Copyright: {\textcopyright} 1999 IEEE.; 33rd Asilomar Conference on Signals, Systems, and Computers, ACSSC 1999 ; Conference date: 24-10-1999 Through 27-10-1999",

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doi = "10.1109/ACSSC.1999.832326",

language = "English",

series = "Conference Record of the 33rd Asilomar Conference on Signals, Systems, and Computers",

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Ciblat, P, Chevreuil, A & Loubaton, P 1999, α-repetition/modulation and blind second-order identification. in MB Matthews (ed.), Conference Record of the 33rd Asilomar Conference on Signals, Systems, and Computers., 832326, Conference Record of the 33rd Asilomar Conference on Signals, Systems, and Computers, vol. 1, Institute of Electrical and Electronics Engineers Inc., pp. 220-224, 33rd Asilomar Conference on Signals, Systems, and Computers, ACSSC 1999, Pacific Grove, United States, 24/10/99. https://doi.org/10.1109/ACSSC.1999.832326

α-repetition/modulation and blind second-order identification. / Ciblat, Philippe; Chevreuil, Antoine; Loubaton, Philippe.
Conference Record of the 33rd Asilomar Conference on Signals, Systems, and Computers. ed. / Michael B. Matthews. Institute of Electrical and Electronics Engineers Inc., 1999. p. 220-224 832326 (Conference Record of the 33rd Asilomar Conference on Signals, Systems, and Computers; Vol. 1).

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

TY - GEN

T1 - α-repetition/modulation and blind second-order identification

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AU - Chevreuil, Antoine

AU - Loubaton, Philippe

PY - 1999/1/1

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N2 - In the context of redundant filter-bank precoders, we investigate the so-called α-repetition/modulation, for αϵ[0, 1/2 ], with regard to the blind second-order identification. For many α's, an algebraic result shows that the unknown channel can be recovered from the second-order statistics irrespective of both the channel zero location and the model over-determination. Namely, a structured subspace method provides an estimate of the channel. However, in the context of band-limited communication channels, numerical degeneracies appear for certain choices of α. We therefore analyze the numerical behavior of this method resorting to spheroidal wave sequences. We show there exist α's less than a bound depending on the channel bandwidth making the estimation robust to noise. Simulations are also provided.

AB - In the context of redundant filter-bank precoders, we investigate the so-called α-repetition/modulation, for αϵ[0, 1/2 ], with regard to the blind second-order identification. For many α's, an algebraic result shows that the unknown channel can be recovered from the second-order statistics irrespective of both the channel zero location and the model over-determination. Namely, a structured subspace method provides an estimate of the channel. However, in the context of band-limited communication channels, numerical degeneracies appear for certain choices of α. We therefore analyze the numerical behavior of this method resorting to spheroidal wave sequences. We show there exist α's less than a bound depending on the channel bandwidth making the estimation robust to noise. Simulations are also provided.

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DO - 10.1109/ACSSC.1999.832326

M3 - Conference contribution

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BT - Conference Record of the 33rd Asilomar Conference on Signals, Systems, and Computers

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Ciblat P, Chevreuil A, Loubaton P. α-repetition/modulation and blind second-order identification. In Matthews MB, editor, Conference Record of the 33rd Asilomar Conference on Signals, Systems, and Computers. Institute of Electrical and Electronics Engineers Inc. 1999. p. 220-224. 832326. (Conference Record of the 33rd Asilomar Conference on Signals, Systems, and Computers). doi: 10.1109/ACSSC.1999.832326

α-repetition/modulation and blind second-order identification

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