On the performance of parity codes in magnetic recording systems

Abstract

Abstmct-We investigate the performance of single and multiple parity codes in magnetic recording systems. We evaluate the codes with respect t o Bit Error Rate as well as ECC failure rate. While multiple parity codes outperform the single parity code in Bit Error Rate, their performance is worse with respect to the ECC failure rate.

Use of Redundant Bits for Magnetic Recording: Single-Parity Codes and Reed–Solomon Error-Correcting Code

“…Such an ECC model will be further referred to as the multinomial model (the name accounts for multinomial distributions arising in the mathematical description of the model). This model was used by various authors for SRR evaluation (see, e.g., [1], [4], [8], [10], [11]). …”

Macroscopic and Microscopic Approaches in Sector Failure Rate Estimation

“…This model results in the multinomial distribution for the error vector weight (2) where is the number of events in the error indicator vector with weight , and is the set of all combinations of indices such that their sum is and the total weight is and This is perhaps the most widely used model for modeling error vector weights [1]- [7]. For example, Feng et al [3] consider byte size symbols and error events with a maximum length of bytes. The model parameters are estimated using the "common sense" approach based on the frequency of occurrence of each error event.…”

Practical Iterative Decoding Scheme Using Reed–Solomon Codes for Magnetic Recording Channels

“…C URRENTLY, modified EEPRML (MEEPRML) with a parity code [1]- [4] is commonly used in the read/write channels of hard disk drives. This code is intended to reduce the number of small random errors caused by media noise and the thermal noise due to preamplifiers and magnetic heads.…”