On two-user fading gaussian broadcast channels with perfect channel state information at the receivers

We show that Gaussian input is optimal for a certain class of single-antenna fading Gaussian broadcast channels with perfect channel knowledge at the receivers but not at the transmitter.

[1]  Katalin Marton,et al.  A coding theorem for the discrete memoryless broadcast channel , 1979, IEEE Trans. Inf. Theory.

[2]  Thomas M. Cover,et al.  Broadcast channels , 1972, IEEE Trans. Inf. Theory.

[3]  Giuseppe Caire,et al.  On achievable rates in a multi-antenna Gaussian broadcast channel , 2001, Proceedings. 2001 IEEE International Symposium on Information Theory (IEEE Cat. No.01CH37252).

[4]  Thomas M. Cover,et al.  Comments on Broadcast Channels , 1998, IEEE Trans. Inf. Theory.

[5]  Abbas El Gamal,et al.  The capacity of a class of broadcast channels , 1979, IEEE Trans. Inf. Theory.