3,544 research outputs found
An alternative view on the Bateman-Luke variational principle
A new derivation of the Bernoulli equation for water waves in
three-dimensional rotating and translating coordinate systems is given. An
alternative view on the Bateman-Luke variational principle is presented. The
variational principle recovers the boundary value problem governing the motion
of potential water waves in a container undergoing prescribed rigid-body motion
in three dimensions. A mathematical theory is presented for the problem of
three-dimensional interactions between potential surface waves and a floating
structure with interior potential fluid sloshing. The complete set of equations
of motion for the exterior gravity-driven water waves, and the exact nonlinear
hydrodynamic equations of motion for the linear momentum and angular momentum
of the floating structure containing fluid, are derived from a second
variational principle
Disjoint LDPC Coding for Gaussian Broadcast Channels
Low-density parity-check (LDPC) codes have been used for communication over a
two-user Gaussian broadcast channel. It has been shown in the literature that
the optimal decoding of such system requires joint decoding of both user
messages at each user. Also, a joint code design procedure should be performed.
We propose a method which uses a novel labeling strategy and is based on the
idea behind the bit-interleaved coded modulation. This method does not require
joint decoding and/or joint code optimization. Thus, it reduces the overall
complexity of near-capacity coding in broadcast channels. For different rate
pairs on the boundary of the capacity region, pairs of LDPC codes are designed
to demonstrate the success of this technique.Comment: 5 pages, 1 figure, 3 tables, To appear in Proc. IEEE International
Symposium on Information Theory (ISIT 2009), Seoul, Korea, June-July 200
Efficient LLR Calculation for Non-Binary Modulations over Fading Channels
Log-likelihood ratio (LLR) computation for non-binary modulations over fading
channels is complicated. A measure of LLR accuracy on asymmetric binary
channels is introduced to facilitate good LLR approximations for non-binary
modulations. Considering piecewise linear LLR approximations, we prove
convexity of optimizing the coefficients according to this measure. For the
optimized approximate LLRs, we report negligible performance losses compared to
true LLRs.Comment: Submitted to IEEE Transactions on Communication
Optimum Linear LLR Calculation for Iterative Decoding on Fading Channels
On a fading channel with no channel state information at the receiver,
calculating true log-likelihood ratios (LLR) is complicated. Existing work
assume that the power of the additive noise is known and use the expected value
of the fading gain in a linear function of the channel output to find
approximate LLRs. In this work, we first assume that the power of the additive
noise is known and we find the optimum linear approximation of LLRs in the
sense of maximum achievable transmission rate on the channel. The maximum
achievable rate under this linear LLR calculation is almost equal to the
maximum achievable rate under true LLR calculation. We also observe that this
method appears to be the optimum in the sense of bit error rate performance
too. These results are then extended to the case that the noise power is
unknown at the receiver and a performance almost identical to the case that the
noise power is perfectly known is obtained.Comment: This paper will be presented in IEEE International Symposium on
Information Theory (ISIT) 2007 in Nice, Franc
- …