Digital Signal Processing 主讲：张君 上洛文大
Digital Signal Processing 主讲：张君
IIR Filter Design Method Digital Signal Processing--IIR Digital Filter Design bilinear digital filter transformation analog filter specifications 2=g(o) specifications analog filter design method bilinear digital filter transformation analog filter H( s-fe) Ha(s) Butterworth Chebyshev Elliptic 上游充通大粤
Digital Signal Processing—— IIR Digital Filter Design IIR Filter Design Method digital filter specifications analog filter specifications analog filter Ha(s) digital filter H(z) analog filter design method bilinear transformation bilinear transformation Ω=g(ω) s=f(z) Butterworth Chebyshev Elliptic
Other Design Method Digital Signal Processing--IIR Digital Filter Design =2aey-H,ea min 上游充通大
Digital Signal Processing—— IIR Digital Filter Design Other Design Method [ ( ) ( ) ] min 2 1 ∑= − M i j d j i i H e H e ω ω ε =
Filter Design by Impulse Invariance G U Digital Signal Processing--IIR Digital Filter Design h(n)=ha(nT) Ha(s)=L[ha(t)] H(Z)=Z[h(n)] a(=之 4 i=1 s-Si h,()=之Aeu(t), u(t) i=l hn)）=ha(nT)=∑Aern)）=∑A(er)y”un) i=l i=l 上游充通大
Digital Signal Processing—— IIR Digital Filter Design Filter Design by Impulse Invariance h(n)=ha(nT) Ha(s)=L[ha(t)] H(z)=Z[h(n)] ∑= − = N i i i s s A Ha s 1 ( ) ∑= = N i s t a i h t Ae u t u t i 1 ( ) ( ), ( ) ∑ ∑ = = = = = N i N i s T n i s nT i h n ha nT Ae u n A e u n i i 1 1 ( ) ( ) ( ) ( ) ( )
Filter Design by Impulse Invariance Digital Signal Processing--IIR Digital Filter Design H(e)=之Aer:"=∑4∑(e:'y° n=0i=1 i= n=0 1-(erz1) (ex2)=0, 1-ez1 k-→0 e-1-。 ao=立+w 上游充通大￥
Digital Signal Processing—— IIR Digital Filter Design Filter Design by Impulse Invariance ∑∑ ∑ ∑ ∞ = = ∞ = − = − = = 0 1 0 1 1 ( ) ( ) n N i n s T n N i i s nT n i H z Ae z A e z i i − →∞ − − − s T k s T k e z e z i i 1 1 1 1 ( ) ( ) 0, 1 =∞ = − k s T k e z i ∑ = − − = N i s T i e z A H z i 1 1 1 ( ) ∑ ∞ =−∞ = + m a a m T H s j T H s 1 2π ( ) ˆ