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The Impact of Order Statistics on Signal Processing

Alan C. Bovik and Scott T. Acton

Chapter 14 in Statistical Theory and Applications, 1996, pp 153-176 from Springer

Abstract: Abstract In signal processing, the use of order statistics has been quite profitable. Nonlinear filters based on order statistic techniques have enabled signal processors to enhance and restore corrupted digital information. The first such device, the median filter, improved upon linear filtering methods by providing signal impulse rejection without the destruction of important signal properties. More general order statistic filter paradigms were then developed that could be tailored to certain signal characteristics and noise processes. Because the basic order statistic filters ignore temporal and spatial signal ordering, extensions such as the stack, C, Ll, WMMR, and permutation filters were created. Finally, order statistics have been applied to several important signal processing problems such as image morphology, edge detection, signal enhancement and signal restoration. This contribution attempts to summarize a few of the landmark innovations in signal processing that have been made possible through the adoption of order statistics.

Keywords: Order statistic filters; signal processing; image processing (search for similar items in EconPapers)
Date: 1996
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4612-3990-1_14

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DOI: 10.1007/978-1-4612-3990-1_14

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