This text starts with the short time Fourier transform and continuous wavelet transform to deduce the generalized S-transformation. From the point of generation views, we analyzed a relative relationship between generalized S-transformation and the short time Fourier transform, and the other relative relationship between generalized S transform and continuous wavelet transform. The article gives the definition of “the gene mutation of formula” and “the genetic restructuring of formula”, and introduces the deriving process of the two core concept. Theoretical analyses show that generalized S-transformation inherited the desirable characteristics in short time Fourier transform which use the window function to select suitable signal. Through genome sequencing of specific parameters, generalized S-transformation has a stronger adaptation that the time-frequency window could make real-time adjusting of frequency. Moreover, generalized S-transformation breaks out limitation that the wavelet function has to content the admissible conditions. From the point of gene mutation, we give the definition of “the gene mutation of formula”. Based on the structure form of wavelet functions, we define the generalized S-transformation with a wider domain of definition. Generalized S-transformation inherited the desirable characteristics of the short time Fourier transform and continuous wavelet transform. It has great utility and flexibility in analyzing non-stationary signals.
목차
Abstract 1. Introduction 2. The Gene Analysis of Generalized S Transform 2.1. The Genetic Restructuring of Formula Based on Short Time Fourier Transform 2.2. The Gene Mutation of Formula Based on Continuous Wavelet Transform 3. Conclusion Acknowledgment References
키워드
the short time Fourier transform; wavelet transform; generalized S-transformation
저자
Yun Lin [ College of Computer Science and Technology Harbin Engineering University, Harbin, China, College of Information and Communication Engineering Harbin Engineering University, Harbin, China, Department of Electrical Engineering Wright State University, Dayton, Ohio, U.S. ]
Xiaowan Yu [ College of Information and Communication Engineering Harbin Engineering University, Harbin, China ]
Chunguang Ma [ College of Computer Science and Technology Harbin Engineering University, Harbin, China ]
Corresponding author
Zheng Dou [ College of Information and Communication Engineering Harbin Engineering University, Harbin, China ]
Zhiqiang Wu [ Zhiqiang Wu3Department of Electrical Engineering | Department of Electrical Engineering Wright State University, Dayton, Ohio, U.S. ]
Zhiping Zhang [ Department of Electrical Engineering Wright State University, Dayton, Ohio, U.S. ]
보안공학연구지원센터(IJUNESST) [Science & Engineering Research Support Center, Republic of Korea(IJUNESST)]
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 u- and e- Service, Science and Technology
간기
격월간
pISSN
2005-4246
수록기간
2008~2016
십진분류
KDC 505DDC 605
이 권호 내 다른 논문 / International Journal of u- and e- Service, Science and Technology Vol.9 No.4