  We consider a point-to-point system with simultaneous wireless information
and power transfer (SWIPT) over a block fading channel. Each transmission block
consists of a training phase and a data transmission phase. Pilot symbols are
transmitted during the training phase for channel estimation at the receiver.
To enable SWIPT, the receiver adopts a power-splitting design, such that a
portion of the received signal is used for channel estimation or data
detection, while the remaining is used for energy harvesting. We optimally
design the power-splitting ratios for both training and data phases to achieve
the best ergodic capacity performance while maintaining a required energy
harvesting rate. Our result shows how a power-splitting receiver can make the
best use of the received pilot and data signals to obtain the optimal SWIPT
performance.
