Wyner-Ziv Coding over Broadcast Channel with Noncausal Channel Side Information only Known at Encoder

We consider the problem of transmitting common message over discrete memoryless broadcast channel (DM-BC) with noncausal discrete memoryless (DM) channel side information (CSI) only known at encoder. Nayak, etc. consider this problem and give a scheme combining Wyner-Ziv coding and Gelfand-Pinsker coding. The Gelfand-Pinsker's code is optimal for point-to-point communication with the encoder accessed to noncausal CSI. But Nair, etc., show that the straightforward extension of Gelfand-Pinsker's code to DM-BC with DM state is not optimal. In this paper, the inner bound of transmitting common message over DM-BC with noncausal DM-CSI only known at encoder is given. The proof of achievability uses Wyner-Ziv coding, Gelfand-Pinsker coding, superposition coding, Marton coding and indirect decoding.