Title
Avoidance of Singular Point in Integer Orthonormal Transform for Lossless Coding
Abstract
In this correspondence, the singular point (SP) problem peculiar to an integer orthonormal transform is discussed, and compatibility of the integer transform with the corresponding real-valued transform is improved. To avoid the SP problem, we introduce two-point permutations of order and sign of signals. Since it satisfies the commutative law, it becomes possible to reduce computational cost to find the best combination of the permutations which minimizes errors due to rounding of signals inside the integer transform.
Year
DOI
Venue
2012
10.1109/TSP.2012.2187289
IEEE Transactions on Signal Processing
Keywords
Field
DocType
image reconstruction,discrete cosine transform,singular point,color,encoding,satisfiability,psnr,signal processing,commutative law,coding
Integer,Discrete mathematics,Singular point of a curve,Nearest integer function,Mathematical optimization,Combinatorics,Rounding,Orthonormal basis,Fractional Fourier transform,S transform,Mathematics,Wavelet transform
Journal
Volume
Issue
ISSN
60
5
1053-587X
Citations 
PageRank 
References 
2
0.38
7
Authors
3
Name
Order
Citations
PageRank
Masahiro Iwahashi122442.55
Masanori Ogawa220.38
Hitoshi Kiya3616113.80