Suppose filter H1 has coefficients h0 = 2, h1 = 1, h2 = -1, and filter H2 has coefficients h0 = 6, h1 = 1, h2 = -1. Use the method of section 14.6 (pp.444-446) to find perfect reconstruction filters K1 and K2. For the input signal 1, -1, 2, 0, 1, 3, 2, -1, -2, 1 find the intermediate values (the y's, w's, v's, and u's) and the reconstructed values X hat.