Abstract
In this paper we further explore our deterministic worst-case framework for perfect reconstruction of discrete data transmissions through dispersive communication channels. Specifically, we are concerned with perfect reconstruction when the data can be processed in a way that does not increase the energy per-symbol (power). We obtain necessary and sufficient conditions for perfect reconstructibility with power-limited preprocessing for two distinct cases: (i) the case of a single source-destination pair and (ii) the case of a single source with multiple destinations. In both cases, our conditions for perfect reconstructibility are irrespective of the receiver structure. We also discuss via an example the trade-off that arises between the rate of transmission and the minimal power that is required for perfect reconstruction.
| Original language | English (US) |
|---|---|
| Article number | ThC11.5 |
| Pages (from-to) | 4040-4045 |
| Number of pages | 6 |
| Journal | Proceedings of the IEEE Conference on Decision and Control |
| Volume | 4 |
| DOIs | |
| State | Published - 2004 |
| Externally published | Yes |
| Event | 2004 43rd IEEE Conference on Decision and Control (CDC) - Nassau, Bahamas Duration: Dec 14 2004 → Dec 17 2004 |
Keywords
- Discrete data reconstruction
- L optimality
- Worst case
ASJC Scopus subject areas
- Control and Systems Engineering
- Modeling and Simulation
- Control and Optimization