지원사업
학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
커뮤니티
연구자들이 자신의 연구와 전문성을 널리 알리고, 새로운 협력의 기회를 만들 수 있는 네트워킹 공간이에요.
논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 한국산업응용수학회 JOURNAL OF THE KOREAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS Journal of the Korean Society for Industrial and Applied Mathematics Vol.12 No.1
- 발행연도
- 2008.6
- 수록면
- 41 - 53 (13page)
이용수
초록· 키워드
오류제보하기
Polynomials are one of most important and widely used numerical tools in dealing with a smooth function on a bounded domain and trigonometric functions work for smooth periodic functions. However, they are not the best choice if a function has a bounded support in space and in frequency domain. The Prolate Spheroidal wave function (PSWF) of order zero has been known as a best candidate as a basis for band-limited functions.
In this paper, we review some basic properties of PSWFs defined as eigenfunctions of bounded Fourier transformation. We also propose numerical inversion schemes based on PSWF and present some numerical examples to show their feasibilities as signal processing tools.
In this paper, we review some basic properties of PSWFs defined as eigenfunctions of bounded Fourier transformation. We also propose numerical inversion schemes based on PSWF and present some numerical examples to show their feasibilities as signal processing tools.
목차
ABSTRACT
1. INTRODUCTION
2. MATHEMATICAL PRELIMINARIES
3. PROLATE FUNCTION BASED INVERSION METHODS
4. NUMERICAL EXAMPLES AND CONCLUSION
REFERENCES
참고문헌 (13)
참고문헌 신청
1. [단행본] - F. Gantmacher / 2002 / Oscillation Matrices and Kernels and Small Oscillations of Mechanical Systems / AMS Chelsea Publishing, Providence
2. [학술지(정기간행물)] - K. Khare / 2007 / Sampling theorem, band-limited integral kernels and inverse problems / Inverse Problems 23 : 1395 ~ 1416
3. [학술지(정기간행물)] - K. Khare / 2003 / Sampling theory approach to prolate spheroidal wavefunctions / J. Phys. A: Math. Gen 36 : 10011 ~ 10021
4. [학술지(정기간행물)] - S. Kunis / 2007 / Stability results for scattered data interpolation by trigonometric polynomials / SIAM J. Sci. Comput 29 : 1403 ~ 1419
5. [학술지(정기간행물)] - H.J. Landau / 1980 / Eigenvlue distribution of time frequency limiting / J. Math. Anal. Appl 77 : 469 ~ 481
2. [학술지(정기간행물)] - K. Khare / 2007 / Sampling theorem, band-limited integral kernels and inverse problems / Inverse Problems 23 : 1395 ~ 1416
3. [학술지(정기간행물)] - K. Khare / 2003 / Sampling theory approach to prolate spheroidal wavefunctions / J. Phys. A: Math. Gen 36 : 10011 ~ 10021
4. [학술지(정기간행물)] - S. Kunis / 2007 / Stability results for scattered data interpolation by trigonometric polynomials / SIAM J. Sci. Comput 29 : 1403 ~ 1419
5. [학술지(정기간행물)] - H.J. Landau / 1980 / Eigenvlue distribution of time frequency limiting / J. Math. Anal. Appl 77 : 469 ~ 481
함께 읽어보면 좋을 논문
논문 유사도에 따라 DBpia 가 추천하는 논문입니다. 함께 보면 좋을 연관 논문을 확인해보세요!
-
INSERTION OF A CONTRA-BAIRE-1 (BAIRE-.5) FUNCTION
순수 및 응용수학
2019 .01
-
The behavior of the twisted $p$-adic $(h,q)$-$L$-functions at $s=0$
대한수학회지
2007 .01
-
ON SOME UPPER BOUNDS OF THE EXPONENTIAL FUNCTION
호남수학학술지
2008 .01
-
STRONG INSERTION OF A CONTRA-BAIRE-1 (BAIRE-.5) FUNCTION BETWEEN TWO COMPARABLE REAL-VALUED FUNCTIONS
순수 및 응용수학
2019 .01
-
Calculation of Coupling Factor of Prolate Spheroid Exposed to Low-Frequency Magnetic Field
한국자기학회 학술연구발표회 논문개요집
2016 .11
-
MÖBIUS FUNCTIONS OF ORDER k IN FUNCTION FIELDS
충청수학회지
2017 .01
-
A Study on the Functions of 𝜅𝜙-Bounded Variations
충청수학회지
1989 .01
-
$l_1$-norm을 이용한 주파수 영역 파형역산
한국지구물리탐사학회 학술대회
2007 .01
-
OPTIMAL POLYNOMIAL LOWER BOUNDS FOR THE EXPONENTIAL FUNCTION
호남수학학술지
2007 .01
-
ERROR ESTIMATES FOR APPROXIMATING THE FOURIER TRANSFORM OF FUNCTIONS OF BOUNDED VARIATION
JOURNAL OF THE KOREAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS
2004 .06
-
Uniformly bounded composition operators on a Banach space of bounded Wiener-Young variation functions
대한수학회보
2013 .01
-
A NOTE ON OPTIMAL RECONSTRUCTION OF MAGNETIC RESONANCE IMAGES FROM NON-UNIFORM SAMPLES IN k-SPACE
JOURNAL OF THE KOREAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS
2010 .03
-
Certain classes of analytic functions and distributions with general exponential growth
대한수학회보
2014 .01
-
A SMOOTHING NEWTON METHOD FOR NCP BASED ON A NEW CLASS OF SMOOTHING FUNCTIONS
Journal of applied mathematics & informatics
2014 .01
-
Mean-value property and characterizations of some elementary functions
대한수학회보
2013 .01
-
ON SINGLE CYCLE T-FUNCTIONS GENERATED BY SOME ELEMENTS
충청수학회지
2015 .01
-
NOTES ON EXTENDED NEURAL NETWORK APPROXIMATION
The Korean journal of computational & applied mathematics, 한국전산응용수학술지 Series A
1998 .01
이 논문의 저자 정보
이 논문과 함께 이용한 논문
최근 본 자료
댓글(0)
0