Title
Integer Nesting/Splitting for Golomb-Rice Coding of Generalized Gaussian Sources
Abstract
This paper presents a qualitative approach of combining Golomb-Rice (GR) code with algebraic bijective mappings which losslessly convert between arbitrary positive integers of different dimension and shape the distribution of generalized Gaussian sources. The mappings, integer nesting and splitting, enables GR encoding, with a little additional computation, to compress more efficiently sources based on wider classes of distributions than Laplacian. Simulations showed, especially for some Gaussian sources, almost optimal average code length can be achievable by performing integer nesting before GR encoding the integers. This scheme will be useful for applications dealing with various types of sources and requiring low computational costs.
Year
DOI
Venue
2018
10.1109/DCC.2018.00080
2018 Data Compression Conference
Keywords
Field
DocType
Lossless coding,Golomb Rice code,Generalized Gaussian
Integer,Discrete mathematics,Bijection,Algebraic number,Computer science,Golomb coding,Theoretical computer science,Gaussian,Data compression,Computation,Laplace operator
Conference
ISSN
ISBN
Citations 
1068-0314
978-1-5386-4884-1
0
PageRank 
References 
Authors
0.34
1
3
Name
Order
Citations
PageRank
Ryosuke Sugiura131.89
Yutaka Kamamoto23910.01
Takehiro Moriya38924.08