采样定理在数字信号通讯中发挥了十分重要的作用,因为信号通常由它的离散采样数据来恢复.HanBin等人在[J,Comput.Appl.Math.2009,227:254—270]中构造了广义插值加细函数向量.本文研究与广义插值加细函数向量有关的采样定理的拓展问题.
Abstract Sampling theorem plays a key role in digital signal communication and image processing since a continuous signal is usually recovered and processed by using its discrete samples. In this paper, we shall study the extension of sampling theorem related to generalized interpolating refinable function vectors introduced in Han Bin[J. Comput. Appl. Math., 2009, 227: 254-270]. Precisely,