1. Introduction; 2. Preliminaries of digital communications; 3. FIR equalizers; 4. Fundamentals of multirate signal processing; 5. Multirate formulation of communication systems; 6. DFT-based transceivers; 7. Precoded OFDM systems; 8. Transceiver design with channel information at the transmitter; 9. DMT systems with improved frequency characteristics; 10. Minimum redundancy FIR transceivers; Appendix A. Mathematical tools; Appendix B. Review of random processes.