|
|||||
|
|
Approximation of bandlimited functions |
|
| Authors: | Yoel Shkolnisky Mark Tygert Vladimir Rokhlin |
| Institution: | aDepartment of Mathematics, Yale University, 51 Prospect St., A.K. Watson Room 113, New Haven, CT 06511, USA;bProgram in Applied Mathematics, Yale University, 51 Prospect St., A.K. Watson Room 110, New Haven, CT 06511, USA;cDepartments of Computer Science, Mathematics, and Physics, Yale University, 51 Prospect St., A.K. Watson Room 108, New Haven, CT 06511, USA |
| Abstract: | Many signals encountered in science and engineering are approximated well by bandlimited functions. We provide suitable error bounds for the approximation of bandlimited functions by linear combinations of certain special functions—the prolate spheroidal wave functions of order 0. The coefficients in the approximating linear combinations are given explicitly via appropriate quadrature formulae. |
| Keywords: | Bandlimited Approximation Interpolation Prolate spheroidal wave functions |
| 本文献已被 ScienceDirect 等数据库收录！ | |