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(Solved): The bilinear transformation is used to design a low-pass digital filter with a 3 dB digital cutoff f ...



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)



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