Bounds on the capacity of random insertion and deletion-additive noise channels

Mojtaba Rahmati, Tolga M. Duman

Research output: Contribution to journalArticlepeer-review

15 Scopus citations

Abstract

We develop several analytical lower bounds on the capacity of binary insertion and deletion channels by considering independent uniformly distributed (i.u.d.) inputs and computing lower bounds on the mutual information between the input and output sequences. For the deletion channel, we consider two different models: i.i.d. deletion-substitution channel and i.i.d. deletion channel with additive white Gaussian noise (AWGN). These two models are considered to incorporate effects of the channel noise along with the synchronization errors. For the insertion channel case, we consider Gallager's model in which the transmitted bits are replaced with two random bits and uniform over the four possibilities independently of any other insertion events. The general approach taken is similar in all cases, however the specific computations differ. Furthermore, the approach yields a useful lower bound on the capacity for a wide range of deletion probabilities of the deletion channels, while it provides a beneficial bound only for small insertion probabilities (less than 0.25) of the insertion model adopted. We emphasize the importance of these results by noting that: 1) our results are the first analytical bounds on the capacity of deletion-AWGN channels, 2) the results developed are the best available analytical lower bounds on the deletion-substitution case, 3) for the Gallager insertion channel model, the new lower bound improves the existing results for small insertion probabilities.

Original languageEnglish (US)
Article number6516943
Pages (from-to)5534-5546
Number of pages13
JournalIEEE Transactions on Information Theory
Volume59
Issue number9
DOIs
StatePublished - Sep 2 2013

Keywords

  • Achievable rates
  • Channel capacity
  • Insertion/deletion channels
  • Synchronization

ASJC Scopus subject areas

  • Information Systems
  • Computer Science Applications
  • Library and Information Sciences

Fingerprint Dive into the research topics of 'Bounds on the capacity of random insertion and deletion-additive noise channels'. Together they form a unique fingerprint.

Cite this