Mv. Chien et Ay. Oruc, HIGH-PERFORMANCE CONCENTRATORS AND SUPERCONCENTRATORS USING MULTIPLEXING SCHEMES, IEEE transactions on communications, 42(11), 1994, pp. 3045-3050
Concentrators are used to interface and combine together low speed com
munication channels onto higher speed transmission links to alleviate
transmission costs. They are also used to construct more powerful swit
ching fabrics such as permutation and broadcast networks. Using an ada
ptive binary sorting network model, this paper constructs new concentr
ators and superconcentrators. Unlike the previously reported concentra
tors and superconcentrators, these new constructions are fast, and can
easily be implemented using simple switching devices. More specifical
ly, for n inputs, they can be constructed with O(n lg lg n) constant f
anin bit-level multiplexers and demultiplexers, and can be routed in O
(lg(2) n) bit-level time.