Title :
Wavelet transforms, wideband ambiguity functions and group theory
Author :
Chaiyasena, A.P. ; Sibul, L.H. ; Banyaga, A.
Author_Institution :
Appl. Res. Lab., Pennsylvania State Univ., State College, PA, USA
Abstract :
Four forms of the wideband ambiguity function are unified by showing that they are connected to the affine group. Viewing the wideband ambiguity function as a wavelet transform, inversion of each form is then explored, using the various forms of the invariant measures of the affine group. Further questions for research are then considered
Keywords :
group theory; signal processing; wavelet transforms; affine group; group theory; invariant measures; wavelet transform; wideband ambiguity function; Calculus; Educational institutions; Electrocardiography; Hilbert space; Mathematics; Wavelet transforms; Wideband;
Conference_Titel :
Signals, Systems and Computers, 1992. 1992 Conference Record of The Twenty-Sixth Asilomar Conference on
Conference_Location :
Pacific Grove, CA
Print_ISBN :
0-8186-3160-0
DOI :
10.1109/ACSSC.1992.269275
