Capacity of M-ary multitrack RLL codes for storage channels

Author

Lee, Jaejin

Author_Institution

Dept. of Electron. Eng., Dongguk Univ., Seoul, South Korea

Volume

2

fYear

1998

fDate

7-11 Jun 1998

Firstpage

964

Abstract

This paper introduces M-ary multitrack runlength limited (RLL) (d,k) constrained codes for data storage systems. We calculate the capacities and densities of the codes. We have derived a general form of the state transition matrix for M-ary n-track (d,k) codes. Using the largest eigenvalue of the transition matrix, we calculate the capacity and density. The capacity approaches to the limit with a small k constraint compared to single-track codes. One can design some practical M-ary multitrack codes applying the same algorithms for single-track codes

Keywords

channel capacity; digital storage; eigenvalues and eigenfunctions; matrix algebra; runlength codes; M-ary multitrack RLL codes; algorithms; code capacity; code density; data storage systems; eigenvalue; runlength limited constrained codes; single-track codes; state transition matrix; storage channels; Amplitude modulation; Disk recording; Eigenvalues and eigenfunctions; Interference constraints; Magnetic recording; Modulation coding; Optical modulation; Optical recording; Stimulated emission; Timing;

fLanguage

English

Publisher

ieee

Conference_Titel

Communications, 1998. ICC 98. Conference Record. 1998 IEEE International Conference on

Conference_Location

Atlanta, GA

Print_ISBN

0-7803-4788-9

Type

conf

DOI

10.1109/ICC.1998.685155

Filename

685155