题目01. 基变换可以用于实现图像压缩，以\(C^4\)为例，下面哪一组基是小波基：
A. \(e_1=\begin{pmatrix}1\\0\\0\\0\end{pmatrix},~e_2=\begin{pmatrix}0\\1\\0\\0\end{pmatrix},~e_3=\begin{pmatrix}0\\0\\1\\0\end{pmatrix},~e_4=\begin{pmatrix}0\\0\\0\\1\end{pmatrix}\)
B. \(\varepsilon_1=\begin{pmatrix}1\\0\\0\\0\end{pmatrix},~\varepsilon_2=\begin{pmatrix}1\\1\\0\\0\end{pmatrix},~\varepsilon_3=\begin{pmatrix}1\\1\\1\\0\end{pmatrix},~\varepsilon_4=\begin{pmatrix}1\\1\\1\\1\end{pmatrix}\)
C. \(\varepsilon_1=\begin{pmatrix}1\\1\\1\\1\end{pmatrix},~\varepsilon_2=\begin{pmatrix}1\\1\\-1\\-1\end{pmatrix},~\varepsilon_3=\begin{pmatrix}1\\-1\\0\\0\end{pmatrix},~\varepsilon_4=\begin{pmatrix}0\\0\\1\\-1\end{pmatrix}\)
D. \(\varepsilon_1=\begin{pmatrix}1\\1\\1\\1\end{pmatrix},~\varepsilon_2=\begin{pmatrix}1\\i\\i^2\\i^3\end{pmatrix},~\varepsilon_3=\begin{pmatrix}1\\i^2\\i^4\\i^6\end{pmatrix},~\varepsilon_4=\begin{pmatrix}1\\i^3\\i^6\\i^9\end{pmatrix}\)
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