Coding and detection for rectangular-grain TDMR models

Lu Pan, William E. Ryan, Roger Wood, Bane Vasic

Research output: Contribution to journalArticlepeer-review

16 Scopus citations


This paper studies the performance of a serial turbo code on two simplified rectangular-grain models of recording media for two-dimensional (2-D) magnetic recording at a density of more than 0.5 bits/grain. We derive one-dimensional (1-D) and 2-D rectangular-grain media models and from these present finite-state-machine (FSM) representations. From the FSM for the 1-D model we computed achievable information rates assuming independent and uniformly distributed (i.u.d.) binary inputs. From the (approximate) FSM for the 2-D model, we present a detector. We then present a serial turbo code architecture with constituent convolutional codes that is capable of achieving 80% of i.u.d. capacity for the 1-D model and 65% of the average of published upper and lower bounds on capacity for the 2-D model. We also present schemes which combine the advantages of an (inner) repetition code and an (outer) serial turbo code. One such scheme cleverly arranges the three bits in each three-fold repetition into the shape of an L. This obviates the need for a sequence detector and converts the 2-D channel model into an equivalent binary symmetric channel.

Original languageEnglish (US)
Article number5688458
Pages (from-to)1705-1711
Number of pages7
JournalIEEE Transactions on Magnetics
Issue number6 PART 2
StatePublished - Jun 2011


  • Coding
  • TDMR
  • detection

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Electrical and Electronic Engineering


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