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Probabilistic Amplitude Shaping (PAS) is a coded-modulation scheme in whichthe encoder is a concatenation of a distribution matcher with a systematicForward Error Correction (FEC) code. For reduced computational complexity thedecoder can be chosen as a concatenation of a mismatched FEC decoder anddematcher. This work studies the theoretic limits of PAS. The classical jointsource-channel coding (JSCC) setup is modified to include systematic FEC andthe mismatched FEC decoder. At each step error exponents and achievable ratesfor the corresponding setup are derived.

Information Rates and Error Exponents for Probabilistic Amplitude Shaping