8,969 research outputs found
Scaling laws for molecular communication
In this paper, we investigate information-theoretic scaling laws, independent
from communication strategies, for point-to-point molecular communication,
where it sends/receives information-encoded molecules between nanomachines.
Since the Shannon capacity for this is still an open problem, we first derive
an asymptotic order in a single coordinate, i.e., i) scaling time with constant
number of molecules and ii) scaling molecules with constant time . For a
single coordinate case, we show that the asymptotic scaling is logarithmic in
either coordinate, i.e., and , respectively.
We also study asymptotic behavior of scaling in both time and molecules and
show that, if molecules and time are proportional to each other, then the
asymptotic scaling is linear, i.e., .Comment: Accepted for publication in the 2014 IEEE International Symposium on
Information Theor
Bounds on the Capacity of ASK Molecular Communication Channels with ISI
There are now several works on the use of the additive inverse Gaussian noise
(AIGN) model for the random transit time in molecular communication~(MC)
channels. The randomness invariably causes inter-symbol interference (ISI) in
MC, an issue largely ignored or simplified. In this paper we derive an upper
bound and two lower bounds for MC based on amplitude shift keying (ASK) in
presence of ISI. The Blahut-Arimoto algorithm~(BAA) is modified to find the
input distribution of transmitted symbols to maximize the lower bounds. Our
results show that over wide parameter values the bounds are close.Comment: 7 pages, 4 figures, Accepted in IEEE GLOBECOM 201
Quantum Limitations on the Storage and Transmission of Information
Information must take up space, must weigh, and its flux must be limited.
Quantum limits on communication and information storage leading to these
conclusions are here described. Quantum channel capacity theory is reviewed for
both steady state and burst communication. An analytic approximation is given
for the maximum signal information possible with occupation number signal
states as a function of mean signal energy. A theorem guaranteeing that these
states are optimal for communication is proved. A heuristic "proof" of the
linear bound on communication is given, followed by rigorous proofs for signals
with specified mean energy, and for signals with given energy budget. And
systems of many parallel quantum channels are shown to obey the linear bound
for a natural channel architecture. The time--energy uncertainty principle is
reformulated in information language by means of the linear bound. The quantum
bound on information storage capacity of quantum mechanical and quantum field
devices is reviewed. A simplified version of the analytic proof for the bound
is given for the latter case. Solitons as information caches are discussed, as
is information storage in one dimensional systems. The influence of signal
self--gravitation on communication is considerd. Finally, it is shown that
acceleration of a receiver acts to block information transfer.Comment: Published relatively inaccessible review on a perennially interesting
subject. Plain TeX, 47 pages, 5 jpg figures (not embedded
- …