Optimization problems on planar lattice transmitter networks

Start: 10/26/2015 - 4:15pm
End  : 10/26/2015 - 5:15pm

Applied Math Seminar

Lenny Fukshansky (CMC)


Consider a network of radio transmitters of equal power placed at points of a two-dimensional lattice. On the one hand, we would like to choose a lattice that would maximize the coverage area of our network; on the other, we want to maximize the signal-to-noise ratio. We present some results and conjectures in the direction of these optimization problems and their relation to each other on some particularly interesting classes of planar lattices, as well as discuss some counting results on the number of possible such lattice networks of fixed determinant. This work came out of a Fletcher Jones Fellowship project in 2011.

Emmy Noether Room Millikan 1021 Pomona College