Abstract

A new scheme for image transmission over noisy channel is proposed. Similar to standard image compression, the scheme includes a transform followed by successive refinement scalar quantization. Unlike conventional schemes, though, in the proposed system the quantized transform coefficients are linearly mapped into channel symbols using systematic encoders. This fixed-to-fixed length linear index coding approach avoids the use of an explicit entropy stage (e.g., arithmetic or Huffman coding), which is typically fragile to channel post-decoding residual errors. We use codes over GF(4), which are particularly suited for this application, since they are matched to the dead-zone quantizer symbol alphabet and to the QPSK modulation used on the deep-space communication channel. We optimize the proposed system where the codes are systematic Raptor codes over GF(4). The rateless property of Raptor encoders allows to implement a continuum of rates, in order to accurately match the channel rate to the transmission channel capacity and to the quantized source entropy rate for each transform subband and refinement level. Comparisons are provided with respect to the concatenation of state-of-the-art image and channel schemes used by Jet Propulsion Laboratories (JPL) for the Mars Exploration Rover (MER) Mission.

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