6,585 research outputs found
On the Szeg\"o-Asymptotics for Doubly-Dispersive Gaussian Channels
We consider the time-continuous doubly-dispersive channel with additive
Gaussian noise and establish a capacity formula for the case where the channel
correlation operator is represented by a symbol which is periodic in time and
fulfills some further integrability and smoothness conditions. The key to this
result is a new Szeg\"o formula for certain pseudo-differential operators. The
formula justifies the water-filling principle along time and frequency in terms
of the time--continuous time-varying transfer function (the symbol).Comment: 5 pages, to be presented at ISIT 2011, minor typos corrected,
references update
Communication Strategies for Low-Latency Trading
The possibility of latency arbitrage in financial markets has led to the
deployment of high-speed communication links between distant financial centers.
These links are noisy and so there is a need for coding. In this paper, we
develop a gametheoretic model of trading behavior where two traders compete to
capture latency arbitrage opportunities using binary signalling. Different
coding schemes are strategies that trade off between reliability and latency.
When one trader has a better channel, the second trader should not compete.
With statistically identical channels, we find there are two different regimes
of channel noise for which: there is a unique Nash equilibrium yielding ties;
and there are two Nash equilibria with different winners.Comment: Will appear in IEEE International Symposium on Information Theory
(ISIT), 201
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