Hybrid Digital-Analog codes for sending correlated Gaussian sources over an AWGN channel

In this paper, we consider the problem of transmitting a Bi-variate Gaussian source S = (S
₁
, S
₂
) over an average-power-limited additive White Gaussian noise (AWGN) channel. The receiver wants to estimate both S
₁
and S
₂
. We propose a new Hybrid Digital Analog (HDA) joint source-channel coding scheme and obtain its achievable distortion region. For comparison, we also obtain an outer bound for the set of all achievable distortion pairs.