TY - JOUR
T1 - A New Construction for n-Track (d, k) Codes with Redundancy
AU - Ke, Ligang
AU - Marcellin, Michael W.
N1 - Funding Information:
Manuscript received February 8, 1994; revised January 17, 1995. This work was supported in part by the National Science Foundation under Grant NCR-9258374. The material in this paper was presented in part at the IEEE International Symposium on Information Theory, Trondheim, Norway, June 1994.
PY - 1995/7
Y1 - 1995/7
N2 - A new construction for n-track (d, k) codes with redundancy r, referred to as (d, k; n, r) codes, is presented. This construction applies single-track (d, k + Δk) codes (with certain extra constraints and appropriate amounts of delay) on each of the n tracks. This construction achieves a large part of the capacity increases possible when using (d, k; n, r) codes, has simple encoders and decoders, and exhibits considerable robustness to faulty tracks. It is shown that under this construction, (d, k; n, r) codes can achieve at least (n − r − 1)/n * 100% of the gap in capacity between conventional (d, k) and (d, ∞) codes. Several practical examples of (d, k; n, r) codes under this construction are presented.
AB - A new construction for n-track (d, k) codes with redundancy r, referred to as (d, k; n, r) codes, is presented. This construction applies single-track (d, k + Δk) codes (with certain extra constraints and appropriate amounts of delay) on each of the n tracks. This construction achieves a large part of the capacity increases possible when using (d, k; n, r) codes, has simple encoders and decoders, and exhibits considerable robustness to faulty tracks. It is shown that under this construction, (d, k; n, r) codes can achieve at least (n − r − 1)/n * 100% of the gap in capacity between conventional (d, k) and (d, ∞) codes. Several practical examples of (d, k; n, r) codes under this construction are presented.
KW - (d, k) codes
KW - capacity
KW - modulation codes
KW - run-length-limited codes
KW - synchronization
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U2 - 10.1109/18.391253
DO - 10.1109/18.391253
M3 - Article
AN - SCOPUS:0029341525
SN - 0018-9448
VL - 41
SP - 1107
EP - 1115
JO - IEEE Transactions on Information Theory
JF - IEEE Transactions on Information Theory
IS - 4
ER -