Abstract
We propose a new time-varying maximum transition run (TMTR) code for DVD recording systems, which has a rate higher than the EFMPlus code and a lower power spectral density (PSD) at low frequencies. An enumeration method for constructing the new TMTR code is presented. Computer simulations indicate that the proposed TMTR code outperforms the EFMPlus code in error performance when applied to partial response optical recording channels.
Highlights
In data storage systems, a modulation code is known as (d, k)-constrained code, where d and k represent the maximal and minimal number of zeros between two consecutive ones
A time-varying maximum transition run (TMTR) code is specified as (k1even = 1, k1odd = 2, k) constraint, where k is the maximum number of consecutive zeros, k1even and k1odd constraints represent the maximum numbers of consecutive ones starting from an even position and an odd position, respectively
The superiority of the rate 8/11 (0, k1even = 1, k1odd = 2) TMTR code over the EFMPlus code is demonstrated on error performance through a computer simulation on the EPRII optical channel of the form P(D) = (1 + D)3
Summary
A modulation code is known as (d, k)-constrained code, where d and k represent the maximal and minimal number of zeros between two consecutive ones. In a previous work [10], we proposed a new time-varying maximum transition run (TMTR) code with (k1even = 1, k1odd = 2, k) constraint for DVD recording systems, which has rate 8/11 higher than the EFMPlus code and a lower power spectral density (PSD) at low frequencies. Instead of a look-up table we present an enumeration method for constructing the (k1even = 1, k1odd = 2, k) codes. Based on this construction, a rate 8/11 code with k = 7 is found.
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