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In high energy physics experiment trigger systems, track segment seeding is aresource consuming function and the primary reason is the computing complexityof the segment finding process. As the Moore's Law is reaching its physicallimit, reducing computing complexity should be carefully considered, ratherthan keep piling up silicon resources. The Tiny Triplet Finder is a scheme thatreduces the computing complexity of the segment seeding. As a proof of concept,a 3D track segment seeding engine core based on the Tiny Triplet Finder hasbeen implemented and tested in a low-cost FPGA device. The seeding engine isdesigned to preselect and group hits (stubs) from detector layers to feedsubsequent track fitting stage. The seeding engine consists of a Houghtransform space for r-z view and a Tiny Triplet Finder for r-phi view toimplement 3D constraints. The seeding engine is organized as a pipeline so thateach hit is processed in a single clock cycle. Taking advantage of theregister-like storage block scheme which enables effectively resetting of ablock RAM within a single clock cycle, clearing or refreshing the seedingengine takes only one clock cycles between two events. The Tiny Triplet Finderis also a generic coincidence finding scheme that can be used for many tasks.As a versatility demonstration, track segment finding performances for twodistinctive detector geometries are tested in our seeding engine. In a colliderbarrel-layer geometry, the fake segment rates are studied for 3D (i.e., bothr-phi and r-z views) and 2D (i.e., r-phi or r-z view only) configurations forhigh hit multiplicity events (>4000 hits/layer in the barrel region). Anotherdetector geometry contains strip plane layers with timing information. Thenumbers of coincidences, both real or fake, with or without timing ("3D" or"2D") information at various hit multiplicities are studied.

The Tiny Triplet Finder as a Versatile Track Segment Seeding Engine for Trigger Systems