摘要
Shannon取样定理是通讯理论中根据离散取样值重建信号的一个最基本定理。彭瑞仁先生在对取样间隔作微小牺牲的前提下,得出了收敛速度比Shannon取样公式快得多的三阶、四阶和五阶的取样公式 ̄[1]。本文在彭先生工作的基础上,给出了构造高阶取样公式的一般方法以及一种N阶取样公式的简单形式。
Shannon smapling theorem is the basic theorem in signal reconstruction based on discrete sampling values in comunication theory. The convergence rate of this formula,however is very slow. Professor Pen Rui-reng, after some slight com-promise on sampling rate, has come to the 3rd order,the 4th order and the 5th order sampling formulae. The calculation of the third order formula on the com-puter proves that it converges much faster than the Shannon formula. This paper gives a general method to construct a higher order sampling formula.
出处
《应用数学和力学》
CSCD
北大核心
1995年第3期235-244,共10页
Applied Mathematics and Mechanics