Consider a filter with the following transfer function: H(z) = (1+z2) a) Draw the pole zero diagram for this filter? b) What kind of filter is this? Why? Explain your answer based on your pole zero diagram. c) A continuous time signal x(t) = 4 + 2cos(2n100t) + 2 cos(2 200t) is converted to a discrete signal with a sampling frequency of 800 samples per second and resulting discrete signal is input to this filter. The output y[n] is converted back to analogy(t). Determine y(t).