Questions on Haar wavelets scaling and wavelet coefficients, please show all work, thanks

a. Plot the signal in V1 defined by 1/2 n=0 1/2 n=0 3/2 n=1 1/2 n =1 SO,n = WO,n = -1 n = 2 1 n = 2 O otherwise, otherwise. b. Calculate the sequence of scaling coefficients $2,n and wavelet coefficients w2,n at scale j = 2 for the signal below: tac ( t )Recall the key definitions in the Haar wavelet transform: . Scaling space: V; is the space of signals that are piecewise constant on intervals of length 2-, Vi = span ({bin(t), nez}), where $j,n(t) = 23/20(2it - n), $ (t ) = 1 ost