A simplified continuous-time model of analogue K-winners-take-all neural circuit

A simplified continuous-time mathematical model of K-winners-take-all (KWTA) neural circuit described by state equation with discontinuous right-hand side and output equation is presented. There is given a functional block diagram of the circuit composed for N inputs of N feedforward and one feedback hardlimiting neurons used to determine the dynamic shift of inputs. The circuit can process any finite value distinct signals with any specified minimal speed that is controlled by its single parameter, it does not require resetting with corresponding supervisory circuit and possesses signal ordering preserving property. Simulation results demonstrate good performance of the model.