DocumentCode
1373727
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
Volume
48
Issue
9
fYear
2000
fDate
9/1/2000 12:00:00 AM
Firstpage
2691
Lastpage
2692
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;
fLanguage
English
Journal_Title
Signal Processing, IEEE Transactions on
Publisher
ieee
ISSN
1053-587X
Type
jour
DOI
10.1109/78.863086
Filename
863086
Link To Document