DocumentCode :
747224
Title :
Discrete-time signal design for maximizing separation in amplitude
Author :
Honig, Michael L. ; Steiglitz, Kenneth ; Balakrishnan, Venkataramanan ; Rantapaa, Erik
Author_Institution :
Bellcore, Morristown, NJ, USA
Volume :
41
Issue :
1
fYear :
1995
fDate :
1/1/1995 12:00:00 AM
Firstpage :
164
Lastpage :
170
Abstract :
Given a discrete-time, linear, shift-invariant channel with finite impulse response, the problem of designing finite-length input signals with bounded amplitude (l norm) such that the corresponding output signals are maximally separated in amplitude (l sense) is considered. In general, this is a nonconvex optimization problem, and appears to be computationally difficult. An optimization algorithm that seems to perform well is described. Optimized signal sets and associated minimum distances (minimum l separation between two distinct channel outputs) are presented for some example impulse responses. A conjectured upper bound on the minimum distance is given that is easily computed given the impulse response of the channel, the number of inputs, and the input length. This upper bound is shown to be valid for a limited class of impulse response functions
Keywords :
optimisation; signal synthesis; telecommunication channels; transient response; bounded amplitude; channel outputs; discrete-time linear channel; discrete-time signal design; finite impulse response; finite-length input signals; impulse response functions; input length; maximally separated output signals; minimum distances; minimum separation; nonconvex optimization problem; optimization algorithm; optimized signal sets; output signals; shift-invariant channel; upper bound; Additive noise; Constraint optimization; Crosstalk; Digital communication; Interference constraints; Intersymbol interference; Noise level; Senior members; Signal design; Upper bound;
fLanguage :
English
Journal_Title :
Information Theory, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9448
Type :
jour
DOI :
10.1109/18.370110
Filename :
370110
Link To Document :
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