8,797 research outputs found
Mean Square Capacity of Power Constrained Fading Channels with Causal Encoders and Decoders
This paper is concerned with the mean square stabilization problem of
discrete-time LTI systems over a power constrained fading channel. Different
from existing research works, the channel considered in this paper suffers from
both fading and additive noises. We allow any form of causal channel
encoders/decoders, unlike linear encoders/decoders commonly studied in the
literature. Sufficient conditions and necessary conditions for the mean square
stabilizability are given in terms of channel parameters such as transmission
power and fading and additive noise statistics in relation to the unstable
eigenvalues of the open-loop system matrix. The corresponding mean square
capacity of the power constrained fading channel under causal encoders/decoders
is given. It is proved that this mean square capacity is smaller than the
corresponding Shannon channel capacity. In the end, numerical examples are
presented, which demonstrate that the causal encoders/decoders render less
restrictive stabilizability conditions than those under linear
encoders/decoders studied in the existing works.Comment: Accepted by the 54th IEEE Conference on Decision and Contro
Monotonicity Results for Arithmetic Means of Concave and Convex Functions
By majorization approaches, some known results on monotonicity
of the arithmetic means of convex and concave functions are proved and
generalized once again
U-spin analysis of CP violation in decays into three charged light pseudoscalar mesons
We carry out a -spin symmetry analysis for CP violation in decays
into three light , , and mesons. We clarify some subtle points in constructing decay
amplitudes with formed by the two negatively charged light mesons in the
final states. -spin conserving momentum independent and momentum dependent
decay amplitudes, and -spin violating decay amplitudes due to quark mass
difference are constructed.Comment: RevTex 12 pages wit no figur
- …