A new algorithm in spectral analysis and band-limited extrapolation.

By A. Papoulis. 1975

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Citations in the corpus

On a Link Between Kernel Mean Maps and Fraunhofer Diffraction, with an Application to Super-Resolution Beyond the Diffraction Limit (2013, methodology): “ercome the diraction limit. Their conclusion is that \the Rayleigh criterion is an approximate measure of the resolution which can be achieved easily." Gerchberg [8] (and independently Papoulis [19]) proposed an algorithm analogous to Gerchberg and Saxton’s phase retrieval method [9] incorporat”
Signal Recovery by Proximal Forward-Backward Splitting (2005, result): “In that paper, the problem was to ﬁnd a signal x in a closed vector subspace C , knowing its projection p onto a closed vector subspace V (hence L = P V and Q = { p } ); it was also observed that the standard signal extrapolation schemes of Gerchberg [37] and Papoulis [59] ﬁtted this framework.”
Foundations of Signal Processing (2014, methodology): “Iterative reconstruction algorithms The alternating projection algorithm was introduced and analyzed by Cheney and Goldstein [13]; Papoulis [75] and Gerchberg [33] popularized it for reconstruction of bandlimited signals.”
Mathematics of Signal Processing (2004, methodology): “Gerchberg-Papoulis iteration (I): The algorithm discussed in this section is called the Gerchberg-Papoulis (GP) bandlimited iteration method [100], [151].”
Multiresolution spectrotemporal analysis of complex sounds. (2005, background): “The low frequency tones (250, 1000 Hz) evoke the typical travelling-wave phase-locked patterns observed experimentally in the auditory nerve [Pfeiffer and Kim, 1975, Shamma, 1985a].”
A novel scheme for the solution of the time-domain integral equations of electromagnetics (2004, background): “Here, the function to be extrapolated is known to be bandlimited, and there exists a voluminous literature on the extrapolation of bandlimited functions (see, for example, [31]–[33]).”