科研之友
微信
新浪微博
Facebook
分享链接
摘要
Let phi be a continuous function in L-2(R) such that the sequence {phi(t - n)}(n is an element of Z) is a frame sequence in L-2(R) and assume that the shift-invariant space V (phi) generated by phi has a multi-banded spectrum sigma(V). The main aim in this paper is to derive a multi-channel sampling theory for the shift-invariant space V (phi). By using a type of Fourier duality between the spaces V (phi) and L-2[ 0, 2 pi] we find necessary and sufficient conditions allowing us to obtain stable multi-channel sampling expansions in V (phi).
- 出版日期2012-1
