上海交通大学：《数字信号处理 Digital Signal Processing（B）》教学资源_Handouts_ch7_Digital Filter Realization

Introduction To Digital Signal Processing 主讲：张君 上气大学

Introduction To Digital Signal Processing 主讲：张君

IIR-Direct form Introduction to Digital Signal Processing--Digital Filter Realization H(z)= N(2)_b+bz1+b2z2 The main feature of this D(2) a+412+a2z2 realization A single adder All the b-multiplier terms ya=-diya-1-42y-2+bo*+bx-1+bx2 are feeding forward The a-multiplier terms are feeding back 2~1 -a w1() 7 V2(n b2 -a w2(n) 上游充通大￥

Introduction to Digital Signal Processing—— Digital Filter Realization IIR-Direct form 2 2 1 0 1 2 2 1 0 1 ( ) ( ) ( )           a a z a z b b z b z D z N z H z n   1 n1  2 n2  0 n  1 n1  2 n2 y a y a y b x b x b x The main feature of this realization •A single adder •All the b-multiplier terms are feeding forward •The a-multiplier terms are feeding back

IIR -Direct form Introduction to Digital Signal Processing--Digital Filter Realization 'o(0m)=x(m) 1wo(m)=-a1M(m)-a21w2(m)+boYo(m)+b1(m)+b2'2(n) y(n)=wo(n) '2(n+1)=1() 1w2(1+1)=1(n) (n+1)=yo(m %(n+1)=1o(0m) for each input x do: Vo=X Wo=-a1W1-a2W2+bovo+b1V1+b2V2 y=Wo V2=V1,W2=W1 V1=Vo W1=Wo 上游充通大￥

Introduction to Digital Signal Processing—— Digital Filter Realization IIR -Direct form

IIR -Direct form NG U Introduction to Digital Signal Processing--Digital Filter Realization H(z)= N(2)_b+bz1+b2z2+…+b,z1 D(a ）a+az1+az2++aw -M x(n) y(n) yn=-ayn-1-a2yn-2-..-amyn-M +box+bx1+b2x2++bLxn-L ,(0n+1)=-10m) i=0.12,…,L %(n+1)=1w(n-i) i=01.2.…,M 上游充通大￥

Introduction to Digital Signal Processing—— Digital Filter Realization IIR -Direct form M M L L a a z a z a z b b z b z b z D z N z H z                   2 2 1 0 1 2 2 1 0 1 ( ) ( ) ( ) n n n L n L n n n M n M b x b x b x b x y a y a y a y                   0 1 1 2 2 1 1 2 2

IIR -Direct form Introduction to Digital Signal Processing--Digital Filter Realization N() 2-3z-1+4z-3 H()= D(2)1+0.2=1-0.3z2+0.524 yn=0.2ym-+0.3ym-2-0.5ym-4+2x,-3xm-1+4xm-3 x(n) y(n) Vo Wo 2-1 -0. 0.3 W -0.5 W 上游充通大

Introduction to Digital Signal Processing—— Digital Filter Realization IIR -Direct form