The feedback capacity of the (1,∞)-RLL input-constrained erasure channel Academic Article uri icon

abstract

  • Abstract—The input-constrained erasure channel with feed- back is considered, where the binary input sequence contains no consecutive ones, ie, it satisfies the (1, ∞)-RLL constraint. We derive the capacity for this setting, which can be expressed as Cǫ = max0≤p≤ 1 2 Hb(p) p+ 1 1−ǫ , where ǫ is the erasure probability and Hb(·) is the binary entropy function. Moreover, we prove that a- priori knowledge of the erasure at the encoder does not increase the feedback capacity. The feedback capacity was calculated using an equivalent dynamic …

publication date

  • March 1, 2015