Complexity-compression tradeoffs in lossy compression via efficient random codebooks and databases
Problems of Information Transmission
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For memoryless discrete-time sources and bounded single-letter distortion measures, we derive a bound on the average per-letter distortion achievable by a trellis source code of fixed constraint length. For any fixed code rate greater thanR(D^{ast}), the rate-distortion function atD^{ast}, this bound decreases towardD^{ast}exponentially with constraint length.