DocumentCode
2503851
Title
Gabor transform with undersampling
Author
Qiu, Sigang
Author_Institution
Dept. of Math., Connecticut Univ., Storrs, CT, USA
fYear
1996
fDate
18-21 Jun 1996
Firstpage
317
Lastpage
320
Abstract
We investigate discrete Gabor transforms with undersampling. For an undersampled Gabor triple (g,a,b) (i.e.,a.b>N), we show that the associated generalized dual Gabor wavelet is the same as the one associated to (g,b˜,a˜), except for the redundancy constant factor. Then we are able to determine the best approximations, by linear combinations of Gabor elementary functions, of signals
Keywords
approximation theory; signal representation; signal sampling; time-frequency analysis; wavelet transforms; Gabor elementary functions; approximations; discrete Gabor transforms; frequency shifts; generalized dual Gabor wavelet; linear combinations; redundancy constant factor; signal representation; time shifts; undersampled Gabor triple; undersampling; Discrete transforms; Frequency; Lattices; Linear approximation; Mathematics; Sampling methods; Signal analysis;
fLanguage
English
Publisher
ieee
Conference_Titel
Time-Frequency and Time-Scale Analysis, 1996., Proceedings of the IEEE-SP International Symposium on
Conference_Location
Paris
Print_ISBN
0-7803-3512-0
Type
conf
DOI
10.1109/TFSA.1996.547477
Filename
547477
Link To Document