Name
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 |
Year | DOI | Venue |
|---|---|---|
1995 | 10.1109/18.370110 | IEEE Transactions on Information Theory |
Keywords | Field | DocType |
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 | Transient response,Discrete mathematics,Topology,Signal processing,Impulse response,Discrete-time signal,Upper and lower bounds,Control theory,Impulse (physics),Finite impulse response,Optimization problem,Mathematics | Journal |
Volume | Issue | ISSN |
41 | 1 | 0018-9448 |
Citations | PageRank | References |
2 | 0.61 | 9 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Michael L. Honig | 1 | 2971 | 411.29 |
| Kenneth Steiglitz | 2 | 1128 | 660.13 |
| Venkataramanan Balakrishnan | 3 | 625 | 74.73 |
| Rantapaa, E. | 4 | 6 | 4.82 |