6.Impulse Responses of FIR Filters 6.Impulse Responses of FIR Filters 6.Impulse Responses of FIR Filters with a Smooth Transition with a Smooth Transition with a Smooth Transition First-order spline passband-to-stopband Example-=0.35x @,=0.45 transition H .Pth-order spline passband-to-stopband transition 三阁 a=(%+a,)/2 / 月=0 h(n)= 2sin(△an/2P) sin(o.n ,>0 △期 江程 包, 月=0 h(n)= 2sin(Aom/2)sin(37 6. Impulse Responses of FIR Filters with a Smooth Transition First-order spline passband-to-stopband transition ( )/2 c sp ' s p /, 0 ( ) 2sin( / 2) sin( ) . ,0 c LP c n h n n n n n n ' , ' ( ) j H e L ' s p s p p s 0 38 6. Impulse Responses of FIR Filters with a Smooth Transition Pth-order spline passband-to-stopband transition /, 0 ( ) 2sin( / 2 ) sin( ) . ,0 c P LP c n h n n P n n n n ' , " # ' 39 6. Impulse Responses of FIR Filters with a Smooth Transition Example Example- 0.45 p 0.35 s