Suppose function f(x) is a member of Haar scaling space V3—that is, f(x) ∈ V3. Use Eq. (7....

Suppose function f(x) is a member of Haar scaling space V3—that is, f(x) ∈ V3. Use Eq. (7.2-22) to express V3 as a function of scaling space V0 and any required wavelet spaces. If f(x) is 0 outside the interval [0,1), sketch the scaling and wavelet functions required for a linear expansion of f(x) based on your expression.

(7.2-22)