  The problem of simultaneous message transmission and state amplification in a
Gaussian channel with additive Gaussian state is studied when the sender has
imperfect noncausal knowledge of the state sequence. Inner and outer bounds to
the rate--state-distortion region are provided. The coding scheme underlying
the inner bound combines analog signaling and Gelfand-Pinsker coding, where the
latter deviates from the operating point of Costa's dirty paper coding.
