Title :
Family of order-4 four-level orthogonal transforms
Author_Institution :
University of Loughborough, Department of Electronic & Electrical Engineering, Loughborough, UK
Abstract :
A family of order-4 four-level orthogonal transforms is derived using a novel concept called dyadic symmetry. The well known order-4 discrete cosine, sine, Haar and slant transforms are members of this family. Comparison among transforms within this family shows that all these well known transforms can be exchanged with other members of the family giving either improved performance or reduced computational requirements.
Keywords :
picture processing; transforms; Haar transforms; computational requirements; discrete cosine transforms; dyadic symmetry; order-4 four-level orthogonal transforms; sine transforms; slant transforms;
Journal_Title :
Electronics Letters
DOI :
10.1049/el:19830592