Discrete-time signal design for maximizing separation in amplitude

Given a discrete-time, linear, shift-invariant channel with finite impulse response, the problem of designing finite-length input signals with bounded amplitude (l/sub /spl infin// norm) such that the corresponding output signals are maximally separated in amplitude (l/sub /spl infin// sense) is con...

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Bibliographic Details
Published in:IEEE transactions on information theory 1995-01, Vol.41 (1), p.164-170
Main Authors: Honig, M.L., Steiglitz, K., Balakrishnan, V., Rantapaa, E.
Format: Article
Language:English
Subjects:
Additive noise
Applied sciences
Communications
Constraint optimization
Crosstalk
Detection, estimation, filtering, equalization, prediction
Digital communication
Exact sciences and technology
Information technology
Information, signal and communications theory
Interference constraints
Intersymbol interference
Noise level
Senior members
Signal and communications theory
Signal design
Signal, noise
Telecommunications and information theory
Upper bound
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Summary:Given a discrete-time, linear, shift-invariant channel with finite impulse response, the problem of designing finite-length input signals with bounded amplitude (l/sub /spl infin// norm) such that the corresponding output signals are maximally separated in amplitude (l/sub /spl infin// 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/sub /spl infin// 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.< >
ISSN:0018-9448
1557-9654
DOI:10.1109/18.370110