High performance concentrators and superconcentrators using multiplexing schemes

Concentrators are used to interface and combine together low speed communication channels onto higher speed transmission links to alleviate transmission costs. They are also used to construct more powerful switching fabrics such as permutation and broadcast networks. Using an adaptive binary sorting network model, this paper constructs new concentrators and superconcentrators. Unlike the previously reported concentrators and superconcentrators, these new constructions are fast, and ran easily be implemented using simple switching devices. More specifically, for n inputs, they can be constructed with O(n lg lg n) constant fanin bit-level multiplexers and demultiplexers, and can be routed in O(lg² n) bit-level time