Joint Precoding and Equalisation Design Using Oversampled Filter Banks for Dispersive Channels with Correlated Noise

Oversampled filter banks (OSFBs) have recently been considered for channel coding since their redundancy introduced into the transmitted signal permits more freedom in the design of joint transmitter and receiver. Further specifically, they can be exploited to transmit over low noise subspaces or even mitigate dispersiveness of the channel. In this paper we propose a joint precoding and equalisation design using OSFBs, which find a compromise between transmitting over the low-noise subspace of channel noise's polyphase components, and the high-gain subspace of the channel's polyphase components. Polynomial building blocks are permitted and the minimisation of the mean square error (MSE) at the receiver output is achieved. We describe the design, and highlight the communalities and differences of this approach to existing methods. Simulation results show the benefit of the proposed system design compared to existing design approaches.