Title :
On the step response of the DCT
Author :
Andrew, J.P. ; Ogunbona, P.O.
Author_Institution :
Dept. of Electr. & Comput. Eng., Wollongong Univ., NSW, Australia
fDate :
3/1/1997 12:00:00 AM
Abstract :
We show that the discrete cosine transform (DCT) is the best orthogonal transform, in terms of energy packing efficiency, for coding input steps of uniformly distributed random phase. Over sufficiently small block sizes, edges in an image can be modeled as such step inputs. This characteristic of the DCT, coupled with its high energy packing efficiency for highly correlated data, helps explain the impressive performance of the DCT for image compression
Keywords :
data compression; discrete cosine transforms; image coding; step response; DCT; block transform; coding; correlated data; discrete cosine transform; edge model; energy packing efficiency; image compression; orthogonal transform; random phase; step response; Circuits; Decorrelation; Digital signal processing; Discrete cosine transforms; Discrete transforms; Finite impulse response filter; Image coding; Karhunen-Loeve transforms;
Journal_Title :
Circuits and Systems II: Analog and Digital Signal Processing, IEEE Transactions on
