Abstract
We present a cross-entropy (CE)-based method to design 2-D zero reference
codes (ZRCs) with minimum diffractive effects. Without diffraction effects,
the optimum ZRC design problem is known as autocorrelation approximation.
However, in high-resolution grating systems, limitations are given by the
diffraction in the design of ZRCs. If the diffraction is considered, the
output signal registered in the photodiode will widen and degrade,
invalidating the autocorrelation approximation for the 2-D ZRC design. To
minimize the diffractive effects in the design of 2-D ZRC, this paper first
formulates the 2-D ZRC design problem with diffractive effects as a
particular combinatorial optimization problem. Next, it proposes the
application of the CE method to solve the problem. Compared with the
conventional genetic algorithm (GA)-assisted 2-D ZRC design method, the
simulation results show that the proposed CE method obtains better 2-D ZRCs
that are less sensitive to diffractive effects. About 11.43 times less
searching is required for the proposed CE method than for the GA. This
indicates that the proposed CE method can obtain good ZRCs with minimum
diffractive effects while maintaining low complexity.
© 2011 IEEE
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