impulse train

A continuous-time network of K-winners-take-all (KWTA) neural circuit (NC) which is capable of identifying the largest K of N inputs, where a command signal 1 <= K < N is described. The network is described by a state equation with a discontinuous right-hand side and by an output equation. The state equation contains an impulse train defined by a sum of Dirac delta functions. Existence and uniqueness of the network work modes is analyzed. The main advantage of the network comparatively to other close analogs is widening convergence speed limitations to working modes.

A continuous-time K-winners-take-all (KWTA) neural network (NN) which is capable of identifying the largest K of N inputs, where a command signal has presented. The network is described by a state equation with a discontinuous right-hand side and by an output equation. The state equation contains an impulse train defined by a sum of Dirac delta functions. The main advantage of the network is not subject to the intrinsic convergence speed limitations of comparable designs. Application of the network for parallel rank-order filtering has described.