The authors consider the design of the front-end receiver for broadband power line communications. They focus on the design of the input impedance that maximizes the Signal-to-Noise Ratio (SNR) at the receiver. They show that the amplitude, rather than the power, of the received signal is important for communication purposes. Furthermore, they show that the receiver impedance impacts on the amplitude of the noise term. They focus on the background noise, and they propose a novel description of the noise experienced at the receiver port of a PLC network. They model the noise as the sum of four uncorrelated contributions, i.e., the active, resistive, receiver and coupled noise component.