The power spectrum of run-length-limited codes

Abstract

A novel method is developed for computing formulas for power spectra associated with run-length-limited (RLL) codes. Explicit use is made of a compact description of the run-length process associated with the RLL code. This association simplifies the general derivation of the power spectrum. The calculation of the spectra of several RLL codes popular in data storage applications is presented. Some of the closed-form expressions for the spectra of these widely used codes are new.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">&gt;</ETX>