The signal, x(t)=1+2sin(27t) +10 cos(6xt) Volt, is passed through a filter, h(t), wh transfer function is shown in Fig 4. The output signal of the filter is y(t). x(1) Fig 4 H(1) 5 -2 0 2 f (Hz) y(0) Part 4a (5 marks] Find the input PSD, p, (f) and sketch it. Part 4b [5 marks] Find the output PSD. p, (f) and sketch it. (5 marks) Part 4c (3 marks] Find the normalized average power of the output signal, y(t), in Watts. Part 4d [2 marks] Find the DC power of the output signal, y(t), in dB. and dBm Part 4e [8 marks] Is the filter, h(t), physically realizable? Why or why not?