Robust time-domain frequency analysis (English)

In: Proc. SPIE   ;  1658 ;  1992

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One domain in which the ordering filters have not appeared is frequency analysis. Simultaneously one must note that the impulse rejection properties of the ordering filters could be very beneficial due to the lack of robustness of the DFT/FFT. Another problem with the DFT/FFT is the ambiguity of the estimate of frequency at a point (frequency localization). This paper introduces a transform (WMMR/MED/COUNT) that simultaneously solves both of the problems in some cases. The Gabor transform and various wavelet techniques have recently been reviewed as a substitute to FFT frequency analysis for spatial localization. While the Gabor transform optimally infers frequency content and spatial localization simultaneously, it suffers from the fact that it requires a full period within the window. This paper presents a transform based on the WMMR filters that will yield frequency analysis and spatial localization with a window width of 1/4 period or less. Experimentally, it has been shown that this technique can be used with impulsive noise of up to 40% and with random baseline shifts. The short-time Fourier, Gabor transform and the WMMR/MED/COUNT transforms (WMCT) are compared for their localization properties in noisy and noiseless situations.

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Adaptive generalized stack filtering under the mean-absolute-error criterion
Yin, Lin / Astola, Jaakko T. / Neuvo, Yrjo A. | 1992
Morphological filter mean-absolute-error theorem
Loce, Robert P. / Dougherty, Edward R. | 1992
Statistical properties of soft morphological filters
Koskinen, Lasse / Astola, Jaakko T. | 1992
Fixed points of some ordering-based filters
Longbotham, Harold G. / Eberly, David H. | 1992
Multilevel stack filtering for image processing applications
Sun, Tong / Zeng, Bing / Neuvo, Yrjo A. | 1992
Application of nonlinear filters to edge detection
Boncelet, Charles G. / Hardie, Russell C. | 1992
Three-dimensional morphology based on Ξ-filters
Preston, Kendall | 1992
Morphological algorithm development case study: detection of shapes in low-contrast gray-scale images with replacement and clutter noise
Rystrom, Larry R. / Katz, Philip L. / Haralick, Robert M. / Eggen, Christian J. | 1992
Statistics of the morphological pattern-spectrum mean and variance for a normal-sized convex-base random Boolean image
Sand, Francis M. / Dougherty, Edward R. | 1992
Invariant characterizations and pseudocharacterizations of finite multidimensional sets based on mathematical morphology
Sinha, Divyendu / Lee, Hanjin | 1992
Morphological operations applied on polygon representation of binary images
Yli-Harja, Olli P. / Vepsalainen, Ari M. | 1992
Dimensional measurements and operators in mathematical morphology
Soille, Pierre / Serra, Jean C. / Rivest, Jean-Francois | 1992
Morphological gradients
Rivest, Jean-Francois / Soille, Pierre / Beucher, Serge | 1992
Application of morphology to feature extraction for face recognition
Gordon, Gaile G. / Vincent, Luc M. | 1992
Multichannel edge-enhancing technique
Tang, Kaijun / Neuvo, Yrjo A. | 1992
Continuous-time analysis of the response of the pseudomedian and related filters to periodic signals
Schulze, Mark A. / Pearce, John A. | 1992
Robust time-domain frequency analysis
Shelton, Daniel / Longbotham, Harold G. | 1992
DPCM with median predictors
Lee, Yong-Hee / Kang, Dong H. / Choi, Jin H. / Lee, Ki D. | 1992
Nonlinear filtering structure for smoothing discontinuous signals corrupted with Gaussian noise
Stevenson, Robert L. | 1992
Local histogram filtering utilizing feature-selective templates
McMurray, Tom J. / Pearce, John A. | 1992
Logical context of nonlinear filtering
Dougherty, Edward R. / Haralick, Robert M. | 1992
Morphological residue approach to shape representation
Loncaric, Sven / Dhawan, Atam P. | 1992
Neural network approach to adaptive image enhancement
Guan, Ling | 1992
Training of object classes using mathematical morphology
Wilson, Stephen S. | 1992
Efficient neural network implementation of morphological operations
Morales, Aldo W. / Ko, Sung-Jea | 1992
Optical implementation of gray-scale morphology
Schaefer, Roland H. / Casasent, David P. | 1992
Bohr's indeterminacy principle in quantum holography, adaptive neural networks, cortical self-organization, molecular computers, magnetic resonance imaging, and solitonic nanotechnology
Schempp, Walter | 1992
Simulated annealing applied to acoustic signal tracking
Lee, Chin-Hwa | 1992
Wilson-Cowan neural network in image analysis
Mantere, Kari / Parkkinen, Jussi P. S. / Jaeaeskelaeinen, Timo / Gupta, Madan M. | 1992