On Hamming distance of partial M-sequence with application to absolute encoder

Author

Harada, Hiroshi ; Kashiwagi, Hiroshi ; Iino, Toshio

Author_Institution

Fac. of Eng., Kumamoto Univ., Japan

fYear

1991

fDate

28 Oct-1 Nov 1991

Firstpage

1669

Abstract

An absolute encoder having a magnetic bubble revolution counter is developed. The Hamming distance of a partial M-sequence code is described. It is shown that the Hamming distance of an M-sequence code is equal to the number of 1´s included in the successive k-tuple of an M-sequence, where k is the code length. Then the theoretical values of the Hamming distance of the partial M-sequence code are introduced. From the results of a computer simulation, it is shown that if the tuple length is long enough, a partial M-sequence can be used an an error correcting code for the magnetic bubble revolution counter

Keywords

binary sequences; encoding; error correction codes; Hamming distance; absolute encoder; code length; error correcting code; magnetic bubble revolution counter; partial M-sequence code; tuple length; Computer simulation; Counting circuits; Error correction; Error correction codes; Garnet films; Hamming distance; Magnetic devices; Magnetic fields; Manufacturing automation; Shafts;

fLanguage

English

Publisher

ieee

Conference_Titel

Industrial Electronics, Control and Instrumentation, 1991. Proceedings. IECON '91., 1991 International Conference on

Conference_Location

Kobe

Print_ISBN

0-87942-688-8

Type

conf

DOI

10.1109/IECON.1991.239090

Filename

239090