Successive Refinement via Broadcasting: Optimizing Expected Distortion of a Gaussian Source over a Gaussian Fading Channel. Tian, C., Steiner, A., Shamai(Shitz), S., & Diggavi, S N. IEEE Transactions on Information Theory, 54(7):2903–2918, July, 2008.
abstract   bibtex   
We consider the problem of transmitting a Gaussian source on a slowly fading Gaussian channel, subject to the mean squared error distortion measure. We propose an efficient algorithm to compute the optimal expected distortion at the receiver in linear time O(M), when the total number of possible discrete fading states is M. We also provide a derivation of the optimal power allocation when the fading state is a continuum, using the classical variational method.
@article{TSSDj08,
 abstract = {We consider the problem of transmitting a Gaussian
source on a slowly fading Gaussian channel, subject to the mean
squared error distortion measure.  We propose an
efficient algorithm to compute the optimal expected distortion at the
receiver in linear time O(M), when the total number of possible discrete fading
states is M. We also provide a derivation of the optimal
power allocation when the fading state is a continuum, using the
classical variational method.},
 author = {C. Tian and A. Steiner and S. Shamai(Shitz) and S N. Diggavi},
 file = {:papers:distortionbc_tssdfinal.pdf},
 journal = {IEEE Transactions on Information Theory},
 month = {July},
 note = {},
 number = {7},
 pages = {2903--2918},
 tags = {journal,SrcChan,IT},
 title = {Successive Refinement via Broadcasting: Optimizing Expected Distortion of a Gaussian Source over a Gaussian Fading Channel},
 type = {2},
 volume = {54},
 year = {2008}
}

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