서지주요정보
Threshold extended boolean filters : their representations, analysis, and design = 임계치 확장 부울 여파기 : 그들의 표현, 분석, 그리고 설계
서명 / 저자 Threshold extended boolean filters : their representations, analysis, and design = 임계치 확장 부울 여파기 : 그들의 표현, 분석, 그리고 설계 / Jong-Kwan Song.
저자명 Song, Jong-Kwan ; 송종관
발행사항 [대전 : 한국과학기술원, 1995].
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소장정보

등록번호

8005956

소장위치/청구기호

학술문화관(문화관) 보존서고

DEE 95056

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초록정보

A new class of filters, called linear combination of weighted order statistic (LWOS) filters, is introduced as a mutilevel representation of the threshold extended Boolean (TEB) filters. This filter is a combination of L-filters and weighted order statistic (WOS) filters. Based on the observation that this filter possesses the threshold decomposition property, a representation of LWOS filters, named the canonical representation, is developed. It is shown that most nonrecursive filters having the threshold decomposition property can be thought of as special cases of the canonical LWOS filter. This result indicates that this class of LWOS filters encompasses a variety of filters which include median-type nonlinear filters and linear FIR filters. A procedure for designing an optimal canonical LWOS filter under the mean square error (MSE) criterion has been developed. The optimization of LWOS filters yields an FIR Wiener filter when the input is zero-mean Gaussian and a median-type nonlinear filter for non-Gaussian inputs. Experimental results in image restoration are presented to compare the relative performances of the LWOS and existing filters. We derive an alternative multilevel representation of the TEB filters, showing that a TEB filter can be expressed a weighted sum of subfiltered outputs. This representation naturally leads to a subclass of TEB filter, called K-th order subset averaged (SA) filter that employs only those subfilters whose window size are less than or equal to K. They are called SA minimum (SAMIN) filters, SA maximum (SAMAX) filters, SA exclusive-OR (SAXOR) filters, and SA median (SAMED) filters according to the subfilters used. It is shown that the K-th order SAMAX, SAMIN, and SAXOR filters are all equivalent class, and the self-duality or its extension is closely related to the scale-preserving property. By designing K-th order SA filters under the mean square error criterion for various values of K and applying them to restore noisy signals, the tradeoff between the performance and complexity of this class of filters is examined.

서지기타정보

서지기타정보
청구기호 {DEE 95056
형태사항 viii, 110 p. : 삽도 ; 26 cm
언어 영어
일반주기 Appendix : A, The definition of extended self-duality
저자명의 한글표기 : 송종관
지도교수의 영문표기 : Yong-Hoon Lee
지도교수의 한글표기 : 이용훈
학위논문 학위논문(박사) - 한국과학기술원 : 전기및전자공학과,
서지주기 Includes references
주제 Threshold decomposition
Ordering
Multi-level Representation
임계치 분해
크기순서
다진영역표현
QR CODE qr code