An isomorphic mapping is built between Hibert space L2 [ 0,1 j and reproducing kernel space H1 [ 0,1] using integral operator while wavelet approximation expressions and sampling expressions in the H1 [ 0,1 j are discussed as well. 本文利用积分算子建立了Hibert空间L2[0,1]与再生核空间H1[0.1]之间的同构映射,给出再生核空间H1[0,1]中的多尺度分析方法、小波逼近公式和采样公式。
The main purpose of signal analysis is to seek a simple effective method of signal transformation, which give prominence to important property of signal and predigest complexity degree of operation, such as orthogonal linear transformation widely used in Hilbert space. 信号分析的主要目的是寻找一种简单有效的信号变换方法,以便突出信号中的重要特性、简化运算的复杂程度,其中希尔伯特(Hibert)空间中的正交变换得到了广泛的应用。