On Equivalence of Binary Asymmetric Channels Regarding the Maximum Likelihood Decoding

Author(s)

Qureshi, Claudio ^[1] ; Costa, Sueli I. R. ^[1] ; Rodrigues, Christiane Buffo ^[1] ; Firer, Marcelo ^[1]

Affiliation

^[1] Univ Estadual Campinas, Inst Math Stat & Sci Comp, BR-13083859 Campinas, SP - Brazil

• Document type: Journal article
• Source: IEEE TRANSACTIONS ON INFORMATION THEORY; v. 64, n. 5, p. 3528-3537, MAY 2018.
• Web of Science Citations: 0

Abstract

We study the problem of characterizing when two memoryless binary asymmetric channels, described by their transition probabilities (p, q) and (p', q'), are equivalent from the point of view of maximum likelihood decoding when restricted to n-block binary codes. This equivalence of channels induces a partition (depending on n) on the space of parameters (p, q) into regions associated with the equivalence classes. Explicit expressions for describing these regions, their number and areas are derived. Some perspectives of applications of our results to decoding problems are also presented. (AU)

• FAPESP's process: 13/25977-7 - Security and reliability of Information: theory and practice
• Grantee: Marcelo Firer
• Support type: Research Projects - Thematic Grants
• FAPESP's process: 15/26420-1 - Metrics in the context of information theory and error correcting codes
• Grantee: Claudio Michael Qureshi Valdez
• Support type: Scholarships in Brazil - Post-Doctorate