Large Deviations Behavior of the Logarithmic Error Probability of Random Codes

Ran Tamir, Neri Merhav, Nir Weinberger, Albert Guillén I Fàbregas

פרסום מחקרי: פרסום בכתב עתמאמרביקורת עמיתים

תקציר

This work studies the deviations of the error exponent of the constant composition code ensemble around its expectation, known as the error exponent of the typical random code (TRC). In particular, it is shown that the probability of randomly drawing a codebook whose error exponent is smaller than the TRC exponent is exponentially small; upper and lower bounds for this exponent are given, which coincide in some cases. In addition, the probability of randomly drawing a codebook whose error exponent is larger than the TRC exponent is shown to be double-exponentially small; upper and lower bounds to the double-exponential exponent are given. The results suggest that codebooks whose error exponent is larger than the error exponent of the TRC are extremely rare. The key ingredient in the proofs is a new large deviations result of type class enumerators with dependent variables.

שפה מקוריתאנגלית
מספר המאמר9095265
עמודים (מ-עד)6635-6659
מספר עמודים25
כתב עתIEEE Transactions on Information Theory
כרך66
מספר גיליון11
מזהי עצם דיגיטלי (DOIs)
סטטוס פרסוםפורסם - נוב׳ 2020

ASJC Scopus subject areas

  • ???subjectarea.asjc.1700.1710???
  • ???subjectarea.asjc.1700.1706???
  • ???subjectarea.asjc.3300.3309???

טביעת אצבע

להלן מוצגים תחומי המחקר של הפרסום 'Large Deviations Behavior of the Logarithmic Error Probability of Random Codes'. יחד הם יוצרים טביעת אצבע ייחודית.

פורמט ציטוט ביבליוגרפי