Title :
Parallel constrained coding with application to two-dimensional constraints
Author :
Halevy, Shirley ; Roth, Ron M.
Author_Institution :
Dept. of Comput. Sci., Technion-Israel Inst. of Technol., Haifa, Israel
fDate :
5/1/2002 12:00:00 AM
Abstract :
A parallel constrained coding scheme is considered where p-blocks of raw data are encoded simultaneously into q tracks such that the contents of each track belong to a given constraint S. It is shown that as q increases, there are parallel block-decodable encoders for S whose coding ratio p/q converges to the capacity of S. Examples are provided where parallel coding allows block-decodable encoders, while conventional coding, at the same rate, does not. Parallel encoders are then applied as building blocks in the construction of block-decodable encoders for certain families of two-dimensional constraints
Keywords :
binary sequences; digital storage; directed graphs; runlength codes; 2D constraints; Kronecker product; capacity; coding ratio; edge-labeled directed graph; input binary sequence; mass storage device; output constrained sequence; parallel block-decodable encoders; parallel constrained coding; runlength-limited constraints; symmetric runlength constraint; two-dimensional constraints; Binary sequences; Computer science; Decoding; Encoding; Labeling;
Journal_Title :
Information Theory, IEEE Transactions on