On the role of feedback in the design of perfectly reconstructing equalizers

Rouzbeh Touri; Petros G. Voulgaris; Christoforos N. Hadjicostis

doi:10.1109/CDC.2007.4434674

On the role of feedback in the design of perfectly reconstructing equalizers

Rouzbeh Touri, Petros G. Voulgaris, Christoforos N. Hadjicostis

Aerospace Engineering

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

Abstract

In this paper we consider the transmission of discrete data via a communication channel that is subject to (additive) noise with a known upper bound on its magnitude but otherwise completely unrestricted behavior. We are interested in the characterization of general conditions that allow perfect reconstruction of the discrete data (perhaps with some delay) under all possible realizations of channel noise and under a limit on transmission power. In particular, we investigate how linear preprocessing of the data and/or linear feedback from the receiver can be employed to aid perfect reconstruction, and we provide necessary conditions for improvements in perfect reconstruction in terms of ℓ¹ norms of appropriate maps. Finally, we show that perfect reconstruction can be improved with feedback only if the feedback processing contains unstable poles.

Original language	English (US)
Title of host publication	Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	2707-2712
Number of pages	6
ISBN (Print)	1424414989, 9781424414987
DOIs	https://doi.org/10.1109/CDC.2007.4434674
State	Published - 2007
Event	46th IEEE Conference on Decision and Control 2007, CDC - New Orleans, LA, United States Duration: Dec 12 2007 → Dec 14 2007

Publication series

Name	Proceedings of the IEEE Conference on Decision and Control
ISSN (Print)	0743-1546
ISSN (Electronic)	2576-2370

Other

Other	46th IEEE Conference on Decision and Control 2007, CDC
Country/Territory	United States
City	New Orleans, LA
Period	12/12/07 → 12/14/07

ASJC Scopus subject areas

Control and Systems Engineering
Modeling and Simulation
Control and Optimization

Online availability

10.1109/CDC.2007.4434674

Library availability

Discover UIUC Full Text

Cite this

Touri, R., Voulgaris, P. G., & Hadjicostis, C. N. (2007). On the role of feedback in the design of perfectly reconstructing equalizers. In Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC (pp. 2707-2712). Article 4434674 (Proceedings of the IEEE Conference on Decision and Control). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC.2007.4434674

On the role of feedback in the design of perfectly reconstructing equalizers. / Touri, Rouzbeh; Voulgaris, Petros G.; Hadjicostis, Christoforos N.
Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC. Institute of Electrical and Electronics Engineers Inc., 2007. p. 2707-2712 4434674 (Proceedings of the IEEE Conference on Decision and Control).

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

Touri, R, Voulgaris, PG & Hadjicostis, CN 2007, On the role of feedback in the design of perfectly reconstructing equalizers. in Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC., 4434674, Proceedings of the IEEE Conference on Decision and Control, Institute of Electrical and Electronics Engineers Inc., pp. 2707-2712, 46th IEEE Conference on Decision and Control 2007, CDC, New Orleans, LA, United States, 12/12/07. https://doi.org/10.1109/CDC.2007.4434674

Touri R, Voulgaris PG, Hadjicostis CN. On the role of feedback in the design of perfectly reconstructing equalizers. In Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC. Institute of Electrical and Electronics Engineers Inc. 2007. p. 2707-2712. 4434674. (Proceedings of the IEEE Conference on Decision and Control). doi: 10.1109/CDC.2007.4434674

@inproceedings{2fe4f19ed65e4e56a92a39186d37d927,

title = "On the role of feedback in the design of perfectly reconstructing equalizers",

abstract = "In this paper we consider the transmission of discrete data via a communication channel that is subject to (additive) noise with a known upper bound on its magnitude but otherwise completely unrestricted behavior. We are interested in the characterization of general conditions that allow perfect reconstruction of the discrete data (perhaps with some delay) under all possible realizations of channel noise and under a limit on transmission power. In particular, we investigate how linear preprocessing of the data and/or linear feedback from the receiver can be employed to aid perfect reconstruction, and we provide necessary conditions for improvements in perfect reconstruction in terms of ℓ1 norms of appropriate maps. Finally, we show that perfect reconstruction can be improved with feedback only if the feedback processing contains unstable poles.",

author = "Rouzbeh Touri and Voulgaris, {Petros G.} and Hadjicostis, {Christoforos N.}",

year = "2007",

doi = "10.1109/CDC.2007.4434674",

language = "English (US)",

isbn = "1424414989",

series = "Proceedings of the IEEE Conference on Decision and Control",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

pages = "2707--2712",

booktitle = "Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC",

address = "United States",

note = "46th IEEE Conference on Decision and Control 2007, CDC ; Conference date: 12-12-2007 Through 14-12-2007",

}

TY - GEN

T1 - On the role of feedback in the design of perfectly reconstructing equalizers

AU - Touri, Rouzbeh

AU - Voulgaris, Petros G.

AU - Hadjicostis, Christoforos N.

PY - 2007

Y1 - 2007

N2 - In this paper we consider the transmission of discrete data via a communication channel that is subject to (additive) noise with a known upper bound on its magnitude but otherwise completely unrestricted behavior. We are interested in the characterization of general conditions that allow perfect reconstruction of the discrete data (perhaps with some delay) under all possible realizations of channel noise and under a limit on transmission power. In particular, we investigate how linear preprocessing of the data and/or linear feedback from the receiver can be employed to aid perfect reconstruction, and we provide necessary conditions for improvements in perfect reconstruction in terms of ℓ1 norms of appropriate maps. Finally, we show that perfect reconstruction can be improved with feedback only if the feedback processing contains unstable poles.

AB - In this paper we consider the transmission of discrete data via a communication channel that is subject to (additive) noise with a known upper bound on its magnitude but otherwise completely unrestricted behavior. We are interested in the characterization of general conditions that allow perfect reconstruction of the discrete data (perhaps with some delay) under all possible realizations of channel noise and under a limit on transmission power. In particular, we investigate how linear preprocessing of the data and/or linear feedback from the receiver can be employed to aid perfect reconstruction, and we provide necessary conditions for improvements in perfect reconstruction in terms of ℓ1 norms of appropriate maps. Finally, we show that perfect reconstruction can be improved with feedback only if the feedback processing contains unstable poles.

UR - http://www.scopus.com/inward/record.url?scp=62749129875&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=62749129875&partnerID=8YFLogxK

U2 - 10.1109/CDC.2007.4434674

DO - 10.1109/CDC.2007.4434674

M3 - Conference contribution

AN - SCOPUS:62749129875

SN - 1424414989

SN - 9781424414987

T3 - Proceedings of the IEEE Conference on Decision and Control

SP - 2707

EP - 2712

BT - Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 46th IEEE Conference on Decision and Control 2007, CDC

Y2 - 12 December 2007 through 14 December 2007

ER -

On the role of feedback in the design of perfectly reconstructing equalizers

Abstract

Publication series

Other

ASJC Scopus subject areas

Online availability

Library availability

Related links

Fingerprint

Cite this