1. Consider the continuous image f (x , y) = 5 sin(x ) sin(y ) . By using the uniform Lloyd-Max
quantizer, compute the transition and reconstruction levels required for quantizing f (x , y) into
5 gray levels.
2. For an N – sample (with N = 2q ) one-dimensional discrete signal f ( m ), the Walsh transform
is given by
Calculate and tabulate the values of the forward transformation kernel matrix when N = 8.
3. Consider a 4 4 × pixel discrete image
Calculate the corresponding Hadamard transform image T .
4. With reference to the forward kernel of the discrete cosine transform for N = 4, work out the
values that make up the block corresponding to u v = = 1.
5. Consider the image
Threshold this image using threshold levels 0,1,2,3,4,5,6,7,8 T = . What do you observe?