Analog Matching of Colored Sources to Colored Channels

Analog (uncoded) transmission provides a simple 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, we can match any colored Gaussian source to any inter-symbol interference (ISI) colored Gaussian noise channel (of possibly different BW), hence we achieve Shannon's optimum attainable performance R(D) = C. Furthermore, when the source and channel BWs are equal (but otherwise their spectra are arbitrary), our scheme is asymptotically robust in ...

• Type: Journal
• Year: 2010
• Where: CORR
• Authors: Yuval Kochman, Ram Zamir
• Keywords: CORR 2010, Education, Gaussian Channel, Gaussian Noise Channel, Gaussian Source