TY - JOUR
T1 - A Construction Technique for Charge Constrained (1,k≥4) Codes
AU - Lin, Yinyi
AU - Liu, Pi Hai
N1 - Funding Information:
This work was supported by tlie National Science Council, R.O.C., contract NSC 83-0404-E008-017.
PY - 1995/11
Y1 - 1995/11
N2 - Modulation codes used in some digital recording systems must satisfy the charge constraint in addition to the (d,k) constraint. A construction technique is presented in this work for charge constrained (1,k≥4) codes. The construction technique is based on a merging bit rule and dklr-sequences with l=r=k−3. Decoding of the constructed codes is state independent, and no error propagation occurs during decoding. The generating function of dklr-sequences is derived with information regarding sequence length, charge and weight; and coding rate of charge constrained (1, k≥4) codes is tabulated. A comparison is also made of the efficiency of a (1,5,10) code with coding rate 8/16 constructed by this technique with that of the M2 (1,5,3) code when used with error correcting codes.
AB - Modulation codes used in some digital recording systems must satisfy the charge constraint in addition to the (d,k) constraint. A construction technique is presented in this work for charge constrained (1,k≥4) codes. The construction technique is based on a merging bit rule and dklr-sequences with l=r=k−3. Decoding of the constructed codes is state independent, and no error propagation occurs during decoding. The generating function of dklr-sequences is derived with information regarding sequence length, charge and weight; and coding rate of charge constrained (1, k≥4) codes is tabulated. A comparison is also made of the efficiency of a (1,5,10) code with coding rate 8/16 constructed by this technique with that of the M2 (1,5,3) code when used with error correcting codes.
UR - http://www.scopus.com/inward/record.url?scp=0029406430&partnerID=8YFLogxK
U2 - 10.1109/20.490276
DO - 10.1109/20.490276
M3 - 期刊論文
AN - SCOPUS:0029406430
SN - 0018-9464
VL - 31
SP - 3081
EP - 3083
JO - IEEE Transactions on Magnetics
JF - IEEE Transactions on Magnetics
IS - 6
ER -