Title :
Symmetric convolution using unitary transform matrices
Author :
Foltz, Thomas M. ; Welsh, Byron M. ; Holmberg, Courtney D.
Author_Institution :
HQ Air Combat Command, Directorate of Communs. & Inf. Systs., Langley AFB, VA, USA
fDate :
9/1/2000 12:00:00 AM
Abstract :
We demonstrate relationships between the convolutional and unitary forms of certain trigonometric transform matrices. We then use the new relationships to derive forms of the symmetric convolution-multiplication property based on unitary rather than convolutional forms of the transform matrices
Keywords :
convolution; discrete transforms; filtering theory; matrix multiplication; discrete trigonometric transform; filtering application; symmetric convolution-multiplication property; trigonometric transform matrices; unitary transform matrices; Convolution; Discrete cosine transforms; Discrete transforms; Filtering; Information systems; Symmetric matrices;
Journal_Title :
Signal Processing, IEEE Transactions on
