Robust finite impulse response equalisation for time-delay communication channels: linear matrix inequality approach

An approach is introduced for the design of a finite impulse response equaliser of communication channels with time delays. Initially, the state-space model for the time-delay communication channel is presented and then the error transfer function is obtained. Both H_infin optimisation and linear matrix inequality techniques are employed to solve the optimisation problem for determining the coefficients of the equaliser. A numerical example with simulations is given to demonstrate the effectiveness of the proposed method.