DocumentCode :
430772
Title :
The algebraic properties of the 2-dimensional (0,1)-RLL channels
Author :
Atajan, Talip ; Inaba, Hiroshi ; Abdursul, Rixat
Author_Institution :
Dept. of Inf. Sci., Tokyo Denki Univ., Saitama, Japan
Volume :
1
fYear :
2004
fDate :
26-29 Oct. 2004
Firstpage :
461
Abstract :
We first discuss the recurrence relation of transfer matrix Tm of the 2-dimensional (1,∞)-constrained and symmetric permutation matrix Pm such that TmnPm=PmTmn (m,n=1, 2,...). Then the number of 2-dimensional valid arrays are shown to satisfy a linear recurrence relation with a finite order, approximately equal to dim(Tm)/2 for large m.
Keywords :
channel capacity; runlength codes; telecommunication channels; transfer function matrices; 2D (0,1)-RLL channels; 2D valid arrays; algebraic properties; constrained symmetric permutation matrix; finite order; linear recurrence relation; recurrence relation; transfer matrix; Binary sequences; Educational programs; Equations; Noise measurement; Performance evaluation; Symmetric matrices; Upper bound;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Communications and Information Technology, 2004. ISCIT 2004. IEEE International Symposium on
Print_ISBN :
0-7803-8593-4
Type :
conf
DOI :
10.1109/ISCIT.2004.1412888
Filename :
1412888
Link To Document :
https://search.ricest.ac.ir/dl/search/defaultta.aspx?DTC=49&DC=430772
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