Title :
Wigner distribution and the synthesis problem: a Hilbert space approach
Author :
Adler, D. ; Raz, S.
Author_Institution :
Dept. of Electr. Eng., Technion-Israel Inst. of Technol., Haifa, Israel
Abstract :
This paper is concerned with mixed time-frequency filtering using Wigner distribution (WD). The resulting function of such operation is not necessarily a WD function. In order to reconstruct a time domain signal a synthesis procedure is required. Using functional analysis terminology, a fairly complete description of the range of Wigner distribution (viewed as a nonlinear operator W:L2 (R)→𝒲⊂L2(R2 )) is given, several important properties of the synthesis operator are investigated, and implications of these results for signal processing are discussed
Keywords :
filtering and prediction theory; functional analysis; signal processing; time-domain synthesis; time-frequency analysis; Wigner distribution; functional analysis; mixed time-frequency filtering; signal processing; synthesis procedure; Biomedical signal processing; Filtering; Functional analysis; Hilbert space; Least squares approximation; Nonlinear filters; Signal processing; Signal synthesis; Space technology; Time frequency analysis;
Conference_Titel :
Electrical and Electronics Engineers in Israel, 1991. Proceedings., 17th Convention of
Conference_Location :
Tel Aviv
Print_ISBN :
0-87942-678-0
DOI :
10.1109/EEIS.1991.217696