Wavelet threshold filter is widely used because it is simple to implement and small computation. Traditional hard and soft threshold functions have their limitations. At the same time, design method of the threshold function is used only for a particular problem and general construction method of threshold function is rarely involved. In this paper, we study the basic requirements of the threshold function and the threshold objective function, and propose a general method for constructing the threshold function. The y=x method applies rotation, shift and other operation on the basic function, and takes as the objective function, constructs threshold function families with different thresholds and approximation rate. Then, choose different threshold functions according to the characteristics of the signal. According to this approach, we take y(x)=a/x as basic function and construct a new threshold function family. The new threshold function is continuous and differentiable at high order, which overcomes the shortcomings of hard threshold function and soft threshold function. Simulation results show that in different noise levels and different wavelet decomposition layers, it has different noise characteristics; signal-to-noise ratio (SNR) gain and minimum squared error (MSE) of this method is better than that of the traditional soft and hard threshold function and improved threshold function and made a better balance between the sensitive degree and smoothness.
목차
Abstract 1. Introduction 2. Wavelet Threshold Denoising 2.1. Principle and Basic Method of Wavelet Threshold Denoising 2.2. Improvement of Threshold Function 3. General Construction Method of Threshold Function 3.1. A General Design Method for Threshold Function 3.2. Example of Threshold Function Construction 4. Performance Comparisons 4.1. Noise Reduction Effect Comparison among Different Noise Types and Different Signal to Noise Ratios 4.2. Comparison of Noise Reduction Effect 4.3. Effect Comparison of 2-D signal Noise Reduction 5. Conclusion References
보안공학연구지원센터(IJCA) [Science & Engineering Research Support Center, Republic of Korea(IJCA)]
설립연도
2006
분야
공학>컴퓨터학
소개
1. 보안공학에 대한 각종 조사 및 연구
2. 보안공학에 대한 응용기술 연구 및 발표
3. 보안공학에 관한 각종 학술 발표회 및 전시회 개최
4. 보안공학 기술의 상호 협조 및 정보교환
5. 보안공학에 관한 표준화 사업 및 규격의 제정
6. 보안공학에 관한 산학연 협동의 증진
7. 국제적 학술 교류 및 기술 협력
8. 보안공학에 관한 논문지 발간
9. 기타 본 회 목적 달성에 필요한 사업
간행물
간행물명
International Journal of Control and Automation
간기
월간
pISSN
2005-4297
수록기간
2008~2016
십진분류
KDC 505DDC 605
이 권호 내 다른 논문 / International Journal of Control and Automation Vol.9 No.8