Elements of information theory
Elements of information theory
Information Theory and Reliable Communication
Information Theory and Reliable Communication
Information Theory: Coding Theorems for Discrete Memoryless Systems
Information Theory: Coding Theorems for Discrete Memoryless Systems
Transform coding with integer-to-integer transforms
IEEE Transactions on Information Theory
Decoding by linear programming
IEEE Transactions on Information Theory
IEEE Transactions on Information Theory
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We develop compressed sensing results for sources drawn from finite alphabets. We apply tools from linear coding and large deviations. We establish strong connections between our results and error exponents of lossless source coding in the case of no measurement noise, and modified channel coding error exponents in the case of measurement noise. We connect to standard results on compressed sensing in the real field.