Convolution Deconvolution FIR flter design F s =2 ( BW ) ∆ f norm = f stop −f 3 dB F s f ' Lc norm = fc fs −∆ f norm / 2 f ' H cnorm = fc fs +∆ f norm / 2 h ( n ) = h d ( n ) w ( n ) Choice o window unction (passband ripple and stopband attenuation) δ min ( ¿ ¿ s, δ p ) ¿ A s =− 20 log ¿ A p = 20log ( 1 +δ p ) IIR Filter design: 1. ole an d !er o place"ent "ethod: f re l, notc h = 2 F s × F unwanted × π f re l, BW = 2 F s × F BW × π 3dB points: f ( ¿¿ rel , BW / 2) f re l ,notch ± ¿ for r > 0.9 is given by: r ≈ 1 – (BW3dB/Fs)π H ( ) = ( −e − !"1 )( −e + !" 1 ) ( −r e − !"2 )( −r e + !" 2 ) (1!) " 1= f rel,notch " 2= f upper pass #. $!% "ethod # s p = #' p #' s ("ig# $%ss) # s p = #' s # ' p (&o' $%ss) 2 π ×# $ 2 × F s # ' $ = tan ¿ ( # $ = foran% w ) ( &andpass ) : # 0 =# centre =2 π × f center # s p = # &p 2 − # 0 2 W # &p ( stop&and ) : # s p = W ' # &s # 0 2 −# &s 2 oles o protot&pe flter: