The ordered tree (O-tree) representation has recently gained much interest in layout design automation. Different from previous topological representations of non-slicing floorplans, the O-tree representation is simpler, needs linear computation effort to generate a corresponding layout, and exhibits a smaller upper-bound of possible configurations. This paper addresses the problem of handling symmetry constraints in the context of the O-tree representation. This problem arises in analog placement, where symmetry is often used to match layout-induced parasitics and to balance thermal couplings in differential circuits. The good performance of our placement tool dealing with several analog designs taken from industry proves the effectiveness of our technique.
This paper addresses the problem of device-level placement for analog layout. Different from most of the existent approaches employing basically simulated annealing optimization algorithms operating on flat Gellat-Jepsen spatial representations [2], we are using a more recent topological representation called sequence-pair [7], which has the advantage of not being restricted to slicing floorplan topologies.In this paper, we are explaining how specific features essential to analog placement, as the ability to deal with symmetry and device matching constraints, can be easily handled by employing the sequence-pair representation.Several analog examples substantiate the effectiveness of our placement tool, which is already in use in an industrial environment.
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