40,225 research outputs found
Layout Decomposition for Quadruple Patterning Lithography and Beyond
For next-generation technology nodes, multiple patterning lithography (MPL)
has emerged as a key solution, e.g., triple patterning lithography (TPL) for
14/11nm, and quadruple patterning lithography (QPL) for sub-10nm. In this
paper, we propose a generic and robust layout decomposition framework for QPL,
which can be further extended to handle any general K-patterning lithography
(K4). Our framework is based on the semidefinite programming (SDP)
formulation with novel coloring encoding. Meanwhile, we propose fast yet
effective coloring assignment and achieve significant speedup. To our best
knowledge, this is the first work on the general multiple patterning
lithography layout decomposition.Comment: DAC'201
Capacity of The Discrete-Time Non-Coherent Memoryless Gaussian Channels at Low SNR
We address the capacity of a discrete-time memoryless Gaussian channel, where
the channel state information (CSI) is neither available at the transmitter nor
at the receiver. The optimal capacity-achieving input distribution at low
signal-to-noise ratio (SNR) is precisely characterized, and the exact capacity
of a non-coherent channel is derived. The derived relations allow to better
understanding the capacity of non-coherent channels at low SNR. Then, we
compute the non-coherence penalty and give a more precise characterization of
the sub-linear term in SNR. Finally, in order to get more insight on how the
optimal input varies with SNR, upper and lower bounds on the non-zero mass
point location of the capacity-achieving input are given.Comment: 5 pages and 4 figures. To appear in Proceeding of International
Symposium on Information Theory (ISIT 2008
End-to-end Distance from the Green's Function for a Hierarchical Self-Avoiding Walk in Four Dimensions
In [BEI] we introduced a Levy process on a hierarchical lattice which is four
dimensional, in the sense that the Green's function for the process equals
1/x^2. If the process is modified so as to be weakly self-repelling, it was
shown that at the critical killing rate (mass-squared) \beta^c, the Green's
function behaves like the free one.
-
Now we analyze the end-to-end distance of the model and show that its
expected value grows as a constant times \sqrt{T} log^{1/8}T (1+O((log log
T)/log T)), which is the same law as has been conjectured for self-avoiding
walks on the simple cubic lattice Z^4. The proof uses inverse Laplace
transforms to obtain the end-to-end distance from the Green's function, and
requires detailed properties of the Green's function throughout a sector of the
complex \beta plane. These estimates are derived in a companion paper
[math-ph/0205028].Comment: 29 pages, v2: reference
- …