English

On Bi-Modal Constrained Coding

Information Theory 2020-04-30 v2 math.IT

Abstract

Bi-modal (respectively, multi-modal) constrained coding refers to an encoding model whereby a user input block can be mapped to two (respectively, multiple) codewords. In current storage applications, such as optical disks, multi-modal coding allows to achieve DC control, in addition to satisfying the runlength limited (RLL) constraint specified by the recording channel. In this work, a study is initiated on bi-modal fixed-length constrained encoders. Necessary and sufficient conditions are presented for the existence of such encoders for a given constraint. It is also shown that under somewhat stronger conditions, one can guarantee a bi-modal encoder with finite decoding delay.

Keywords

Cite

@article{arxiv.1912.12748,
  title  = {On Bi-Modal Constrained Coding},
  author = {Ron M. Roth and Paul H. Siegel},
  journal= {arXiv preprint arXiv:1912.12748},
  year   = {2020}
}

Comments

Title and abstract have been changed and a new Section III.D has been added