The bilinear transformation is used to design a low-pass digital filter with a 3 dB digital cutoff frequency at
\Omega _(c)_()=0.2\pi
. The reference analog prototype filter has the following transfer function:)
H_(a)(s)=(\omega _(c)^(2))/(s^(2)+1.414\omega _(c)s+\omega _(c)^(2))
a) Terbitkan fungsi pindah penuras digital
H(z)
. (Derive the digital filter transfer function
H(z)
.) b) Lukis realisasi bentuk berkanonik bagi
H(z)
dan masukkan nilai-nilai pekali dalam lukisan tersebut. (Draw the canonical realization form of
H(z)
and put in the coefficient values in the drawing.) (10 markah) (10 marks)