Nonlinear filtering using linear combinations of order statistics

A. C. Bovik; T. S. Huang; D. C. Munson

doi:10.1109/ICASSP.1982.1171857

Nonlinear filtering using linear combinations of order statistics

A. C. Bovik, T. S. Huang, D. C. Munson

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Abstract

In this paper we consider a nonlinear filter whose output is given by a linear combination of the order statistics of the input sequence. Assuming a constant signal in white background noise, the coefficients in the linear combination are chosen to minimize the output MSE for several noise distributions. This new general filter is superior to the well-known median filter, since the median is just a special case.

Original language	English (US)
Article number	1171857
Pages (from-to)	2067-2070
Number of pages	4
Journal	ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
Volume	1982-May
DOIs	https://doi.org/10.1109/ICASSP.1982.1171857
State	Published - 1982
Event	1982 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 1982 - Paris, France Duration: May 3 1982 → May 5 1982

ASJC Scopus subject areas

Software
Signal Processing
Electrical and Electronic Engineering

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10.1109/ICASSP.1982.1171857

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title = "Nonlinear filtering using linear combinations of order statistics",

abstract = "In this paper we consider a nonlinear filter whose output is given by a linear combination of the order statistics of the input sequence. Assuming a constant signal in white background noise, the coefficients in the linear combination are chosen to minimize the output MSE for several noise distributions. This new general filter is superior to the well-known median filter, since the median is just a special case.",

author = "Bovik, {A. C.} and Huang, {T. S.} and Munson, {D. C.}",

note = "Funding Information: * This research was supported by the Joint Services Publisher Copyright: {\textcopyright} 1982 IEEE.; 1982 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 1982 ; Conference date: 03-05-1982 Through 05-05-1982",

year = "1982",

doi = "10.1109/ICASSP.1982.1171857",

language = "English (US)",

volume = "1982-May",

pages = "2067--2070",

journal = "Proceedings - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing",

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publisher = "Institute of Electrical and Electronics Engineers Inc.",

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T1 - Nonlinear filtering using linear combinations of order statistics

AU - Bovik, A. C.

AU - Huang, T. S.

AU - Munson, D. C.

PY - 1982

Y1 - 1982

N2 - In this paper we consider a nonlinear filter whose output is given by a linear combination of the order statistics of the input sequence. Assuming a constant signal in white background noise, the coefficients in the linear combination are chosen to minimize the output MSE for several noise distributions. This new general filter is superior to the well-known median filter, since the median is just a special case.

AB - In this paper we consider a nonlinear filter whose output is given by a linear combination of the order statistics of the input sequence. Assuming a constant signal in white background noise, the coefficients in the linear combination are chosen to minimize the output MSE for several noise distributions. This new general filter is superior to the well-known median filter, since the median is just a special case.

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U2 - 10.1109/ICASSP.1982.1171857

DO - 10.1109/ICASSP.1982.1171857

M3 - Conference article

AN - SCOPUS:0010344114

SN - 0736-7791

VL - 1982-May

SP - 2067

EP - 2070

JO - Proceedings - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing

JF - Proceedings - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing

M1 - 1171857

T2 - 1982 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 1982

Y2 - 3 May 1982 through 5 May 1982

ER -

Nonlinear filtering using linear combinations of order statistics

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