UC知道请高手帮忙英语翻译（6）
来源：百度知道 编辑：UC知道 时间：2024/05/22 15:52:48
1. INTRODUCTION 5
define the subspace V−2ofV−1 which is spanned by the orthonormal basis vectors
1
ϕ−2,k = √ (ϕ−1,2k−1 + ϕ−1,2k), k = 1, 2.
2
and project x(−1) onto V−2. This gives x(−2) defined as x(−2)= [ϕ−2,1 ϕ−2,2]X(−2) where
X(−2) is obtained by X(−2)=H(−2)X(−1) and where
1
H(−2)=
√
2
1 1
1 1.
If W−2=V−1V−2, then this orthogonal complement is spanned by the vectors which are
the columns of the matrix [G(−2)H(−1)]t with
1
G(−2)=√
2
1 −1
1 −1.
and the projection of x(−1) onto W−2 is given by y(−2)= [G(−2)H(−1)]tY(−2) with Y(−2)=
G(−2)X(−1). This process can be r
define the subspace V−2ofV−1 which is spanned by the orthonormal basis vectors
1
ϕ−2,k = √ (ϕ−1,2k−1 + ϕ−1,2k), k = 1, 2.
2
and project x(−1) onto V−2. This gives x(−2) defined as x(−2)= [ϕ−2,1 ϕ−2,2]X(−2) where
X(−2) is obtained by X(−2)=H(−2)X(−1) and where
1
H(−2)=
√
2
1 1
1 1.
If W−2=V−1V−2, then this orthogonal complement is spanned by the vectors which are
the columns of the matrix [G(−2)H(−1)]t with
1
G(−2)=√
2
1 −1
1 −1.
and the projection of x(−1) onto W−2 is given by y(−2)= [G(−2)H(−1)]tY(−2) with Y(−2)=
G(−2)X(−1). This process can be r
. 介绍5
子空间V−2ofV−1由规格化正交的依据跨过导航的define
1
ϕ−2， k = √ (ϕ−1,2k−1 + ϕ−1,2k)， k = 1， 2。
2
and估计x (−1)在V−2.上。 这给x (−2)作为x (−2)= [ϕ−2,1 ϕ−2,2] X的defined (−2)的地方
X (−2)由X (−2)=H (−2) X获得(−1)和的地方
1
H (−2)=
√
2
1 1
1 1。
If W−2=V−1V−2，这正交补全由是的传染媒介然后跨过矩阵[G (−2) H (−1)] t的the专栏与
1
G (−2)=√
2
1 −1
1 −1。
and x的投射(−1)在W−2上给y (−2)= [G (−2) H (−1)] tY (−2)与Y (−2)=
G (−2) X (−1)。 (因为我们用尽数据)，这个过程可以再次被重复。
Figure 1.5 ： 第二分解
x (−2)
y (−2)
ϕ−2,2
ψ−2,2
space V−3是一维的和是由传染媒介ϕ−3,1=√12 (ϕW