We consider the problem of transmission of several distributed correlated
sources over a multiple access channel (MAC) with side information at the
sources and the decoder. Source-channel separation does not hold for this
channel. Sufficient conditions are provided for transmission of sources with a
given distortion. The source and/or the channel could have continuous alphabets
(thus Gaussian sources and Gaussian MACs are special cases). Various previous
results are obtained as special cases. We also provide several good joint
source-channel coding schemes for discrete sources and discrete/continuous
alphabet channel.Comment: 29 pages, 3 figures. Submitted to IEEE Trans. Information theor