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STRUKTUR UNTUK SISTEM IIR

STRUKTUR UNTUK SISTEM IIR. STRUKTUR DIRECT-FORM I. Sistem rasional :. All-zero sistem. All-pole sistem. x(n). b o. w(n). y(n). z - 1. z - 1. -a 1. b 1. z - 1. z - 1. -a 2. b 2. -a N-1. b M-1. +. +. +. +. +. +. +. +. z - 1. z - 1. b M. -a N. All-zero sistem.

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STRUKTUR UNTUK SISTEM IIR

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  1. STRUKTUR UNTUK SISTEM IIR • STRUKTUR DIRECT-FORM I Sistem rasional : All-zero sistem All-pole sistem

  2. x(n) bo w(n) y(n) z - 1 z - 1 -a1 b1 z - 1 z - 1 -a2 b2 -aN-1 bM-1 + + + + + + + + z - 1 z - 1 bM -aN All-zero sistem All-pole sistem

  3. x(n) w(n) bo y(n) z - 1 z - 1 -a1 b1 z - 1 z - 1 -a2 b2 -aN-1 bM-1 + + + + + + + + z - 1 z - 1 -aN bM All-pole sistem All-zero sistem

  4. x(n) w(n) bo y(n) z - 1 -a1 b1 z - 1 -a2 b2 -aN-1 bM-1 + + + + + + + + z - 1 -aN bM Struktur bentuk langsung II

  5. x(n) y1(n) y2(n) yK-1(n) yK(n) H1(z) H2(z) HK(z) y(n) x1(n) x2(n) x3(n) xK(n) • STRUKTUR CASCADE-FORM Hk(z) = sistem orde-2 :

  6. xk(n) bo yk(n)=xk+1(n) z - 1 -ak1 bk1 z - 1 -ak2 bk2 + + + + + +

  7. STRUKTUR PARALLEL-FORM C H1(z) x(n) H2(z) y(n) + + + HK(z)

  8. x(n) bko yk(n) z - 1 -ak1 bk1 z - 1 -ak2 + + + + +

  9. Contoh Soal 9.3 : Tentukan struktur bentuk kaskade dan struktur bentuk paralel dari sistem dengan fungsi sistem : Jawab : Struktur bentuk kaskade

  10. x(n) y(n) z - 1 z - 1 z - 1 z - 1 + + + + + + Struktur bentuk kaskade

  11. z - 1 z - 1 y(n) x(n) z - 1 + + + + + + + z - 1 Struktur bentuk paralel

  12. STRUKTUR LATTICE All-pole system : IIR : FIR :

  13. fo(n) f2(n) fM-1(n)=y(n) f1(n) x(n) Tingkat pertama Tingkat kedua Tingkat ke (M –1) go(n) g1(n) gM-1(n) fm-1(n) fm(n) Km Km gm-1(n) + + z - 1 gm(n)

  14. + + + + + + x(n) fN-1(n) f2(n) f1(n) fo(n)=y(n) fN(n) KN K2 K1 -KN -K2 -K1 z - 1 z - 1 z - 1 g2(n) gN(n) g1(n) go(n)

  15. + + x(n) fo(n) y(n) f1(n) K1 -K1 z - 1 g1(n) go(n) All-pole IIR system All-zero FIR system

  16. + + + + x(n) f1(n) fo(n) y(n) f2(n) K2 K1 -K2 -K1 z - 1 z - 1 g2(n) g1(n) go(n)

  17. Forward + + + + + + x(n) fN-1(n) f2(n) Reverse f1(n) fo(n)=y(n) fN(n) KN K2 K1 -KN -K2 -K1 z - 1 z - 1 z - 1 g2(n) gN(n) g1(n) go(n)

  18. STRUKTUR LATTICE-LADDER Pole-zero system : Struktur bentuk langsung II : All-pole IIR system All-zero FIR system

  19. x(n) a1 a2 aM-1 aM w(n) w(n-M) z - 1 z - 1 z - 1 z - 1 + + + + + + + + cM(0) cM(1) cM(2) cM(M-1) cM(M) y(n)

  20. x(n) fN-1(n) f2(n) f1(n) fo(n) fN(n) KN K2 K1 -KN -K2 -K1 gN(n) g2(n) g1(n) go(n) z - 1 z - 1 z - 1 + + + + + + + + + v2 vN v1 vo y(n)

  21. Contoh Soal 9.4 : Gambarkan struktur lattice-ladder dari sistem IIR yang mempunyai fungsi sistem : Jawab :

  22. f2(n) f1(n) fo(n) x(n) -0,72 0,3571 0,72 -0,3571 g2(n) g1(n) go(n) z - 1 z - 1 + + + + + + + 0,15 -0,815 1,399 y(n) Struktur lattice-ladder sistem IIR

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