Convergence properties of multi-dimensional stack filters
Peter Wendt
Electronic Imaging: Advanced Devices and Systems 1990
The method of least absolute deviations has been successfully used in construction of robust tools for spectral analysis under the conditions of outliers and heavy-tailed statistical distributions. This article compares two such spectral analyzers, called the Laplace periodograms of the first and second kind, which can be viewed as robust alternatives to the ordinary periodogram. The article proves that the Laplace periodogram of the second kind has a similar asymptotic distribution to the Laplace periodogram of the first kind which established its association with the zero-crossing spectrum in a recent publication. The article also demonstrates that the Laplace periodogram of the second kind has a smoother sample path which is more suitable for visualization, identification, and estimation of arbitrarily located narrowband components. Extensions of the results to complex time series are discussed. © 2011 Blackwell Publishing Ltd.
Peter Wendt
Electronic Imaging: Advanced Devices and Systems 1990
Ligang Lu, Jack L. Kouloheris
IS&T/SPIE Electronic Imaging 2002
Mario Blaum, John L. Fan, et al.
IEEE International Symposium on Information Theory - Proceedings
Charles A Micchelli
Journal of Approximation Theory