Analog matching of colored sources to colored channels

Yuval Kochman*, Ram Zamir

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


Analog (uncoded) transmission provides a simple and robust scheme for communicating a Gaussian source over a Gaussian channel under the mean-squared-error (MSE) distortion measure. Unfortunately, its performance is usually inferior to the all-digital, separation-based source-channel coding solution, which requires exact knowledge of the channel at the encoder. The loss comes from the fact that except for very special cases, e.g., white source and channel of matching bandwidth (BW), it is impossible to achieve perfect matching of source to channel and channel to source by linear means. We show that by combining prediction and modulo-lattice operations, it is possible to match any colored Gaussian source to any colored Gaussian noise channel (of possibly different BW), hence achieve Shannon's optimum attainable performance R(D)=C. Furthermore, when the source and channel BWs are equal (but otherwise their spectra are arbitrary), this scheme is asymptotically robust in the sense that for high signal-to-noise ratio (SNR) a single encoder (independent of the noise variance) achieves the optimum performance. The derivation is based upon a recent modulo-lattice modulation scheme for transmitting a Wyner-Ziv source over a dirty-paper channel.

Original languageEnglish
Article number5773066
Pages (from-to)3180-3195
Number of pages16
JournalIEEE Transactions on Information Theory
Issue number6
StatePublished - Jun 2011


  • Analog transmission
  • MMSE estimation
  • Wyner-Ziv problem
  • bandwidth expansion/reduction
  • broadcast channel
  • intersymbol interference (ISI) channel
  • joint source/channel coding
  • modulo lattice modulation
  • prediction
  • unknown signal-to-noise ratio (SNR)
  • writing on dirty paper


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