1. In transform coding, show that a receiver that receives an M matrix can create the original p matrix.
2. Calculate the T matrix for DCT when N = 1, N = 2, N = 4, and N = 8.
3. Using one-dimensional DCT encoding, calculate the M matrix from the following three p matrices (which are given as row matrices but need to be considered as column matrices). Interpret the result.
p1 = [1 2 3 4 5 6 7 8] p2 = [1 3 5 7 9 11 13 15] p3 = [1 6 11 16 21 26 31 36]