Question

-lot halt)= lo e uct) 1- Let T= sec and let He(s) = Stlo be an analog filter a- Find hcn),. design invariance' discrete time filter using impulse b. Find Hce) using bilinear trans tormation, it shouldbe one of the following (circle one) - |- 2-1 z-0-11 C- Using bilnear transtormation, where does the continuous time frequency sz=lo maps to tim'e freguencg w: w = 10,', /s, I, T discrete circle on e: %3D

Answer 1

Solution Gtiverne Ts= 1/2 sec A -10 . He (5)= 10 halt)= 100 ot SHO Stro For Impulse Invariance Methodl ? Моррид L - T- she reason - کی 10 Now MCO)*5470 = 10 hm) = 1 to or at = 10 1-8²21 thes Inmo 10 Joo Di=-10 1-621

E Bilimeas 1s=24 Tor ons formation maping relation Was Hen- so se mene 10 - HEL) - Son © The mapping relation between Digital Frequency as and analog frequency rez - is given by 66.2= 10 Bez tan! (TOXH) 6.** given)

= 2x /4 = 172 Thus 2- maps to we WELD go walitoa [24] - - - - - mapping of continuous time Frequency onto the discrete teme Frequency: