Title :
On the role of feedback in the design of perfectly reconstructing equalizers
Author :
Touri, Rouzbeh ; Voulgaris, Petros G. ; Hadjicostis, Christoforos N.
Author_Institution :
Univ. of Illinois at Urbana-Champaign, Urbana
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 lscr1 norms of appropriate maps. Finally, we show that perfect reconstruction can be improved with feedback only if the feedback processing contains unstable poles.
Keywords :
equalisers; telecommunication channels; additive noise; channel noise; communication channel; discrete data transmission; linear data preprocessing; linear feedback; perfect equalizer reconstruction; Additive noise; Additive white noise; Colored noise; Delay; Equalizers; Feedback; Gaussian noise; Image reconstruction; Sufficient conditions; Transmitters;
Conference_Titel :
Decision and Control, 2007 46th IEEE Conference on
Conference_Location :
New Orleans, LA
Print_ISBN :
978-1-4244-1497-0
Electronic_ISBN :
0191-2216
DOI :
10.1109/CDC.2007.4434674