Polar Codes for Joint Energy and Information Transfer

In this paper, we propose an integrated polar coding scheme for both energy adaption and reliable transmission to enhance the existing results of joint energy and information transfer. More specifically, the encoding process is carried out by an energy adaptive encoder and a polar encoder. The energy adaptive encoder is implemented by a polar decoder to determine a subset of the bits, ensuring that the codewords passed through the polar encoder have an optimal distribution that achieves the energy-capacity function. The bits are allocated based on the conditional entropy derived from source and channel polarization. At the receiver, we slightly modify the decoder according to the prior distribution. Numerical simulations show that lk-block-length polar code achieves a gain of roughly or greater than 0.5 dB compared to the 100k-block-length low-density parity-check (LDPC) counterpart at a bit error rate (BER) of 10
⁻³
.