Title :
The generalized sliding-window spectrum
Author :
den Brinler, A.C.
Author_Institution :
Dept. of Electr. Eng., Eindhoven Univ. of Technol.
Abstract :
The sliding-window spectrum is the Fourier transform of the windowed version of a signal where the window is shifted over the signal. This concept can be extended by replacing the Fourier transformation by an arbitrary orthogonal transformation resulting in what we call the generalized sliding-window spectrum (GSWS). The information in the GSWS is redundant. Thus, partial knowledge of the GSWS can be sufficient to reconstruct the signals. For a GSWS obtainable by causal filtering of the input signal the conditions under which simple reconstruction schemes (in terms of necessary filtering operations) apply are considered
Keywords :
FIR filters; filtering theory; signal reconstruction; spectral analysis; transforms; FIR reconstruction; Fourier transform; Fourier transformation; causal filtering; generalized sliding-window spectrum; input signal; orthogonal transformation; signal reconstruction; Discrete transforms; Extraterrestrial phenomena; Filter bank; Filtering; Fourier transforms; Frequency domain analysis; Geometrical optics;
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
DOI :
10.1109/TFSA.1996.550083