Let $H_0\left(e^{j \Omega}\right)$ and $H_1\left(e^{j \Omega}\right)$ be ideal lowpass and highpass filters with cutoff frequency, $\pi / 2$, as shown in Figure 8.14. Sketch $\Phi(\Omega), \xi(\Omega)$, and the wavelet basis functions, $\xi_{0,0}(t), \xi_{0,1}(t), \xi_{1,0}(t)$, and $\xi_{1,1}(t)$.