Goal-oriented single-letter codes for lossy joint source-channel coding

Stavrou, Photios A.; Kountouris, Marios
ITW 2023, IEEE Information Theory Workshop, 23-28 April 2023, Saint-Malo, France

A new variation of the classical point-to-point joint source-channel coding (JSCC) is studied here, which is relevant for identifying goal-oriented semantic aspects of a transmitted source message over a noisy channel. For this new formulation, coined goal-oriented JSCC, we first introduce optimality criteria followed by necessary and sufficient conditions for global optimality. The focus of our main theoretical results is on investigating the implications of a special subclass of block codes, namely, the single-letter codes, via a theorem in which we provide necessary and sufficient conditions for the
probabilistic matching of a goal-oriented source message with a noisy channel. We corroborate our theoretical results with two examples, in which goal-oriented single-letter codes and uncoded transmission perform optimally. Our results further highlight the
important role of multiple fidelity constraints in goal-oriented communications.

DOI
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Type:
Conference
City:
Saint-Malo
Date:
2023-04-23
Department:
Communication systems
Eurecom Ref:
7223
Copyright:
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