Auueridix A Solufions to thtx Exercises 488 Sorrnulizirig to V, Imh, lms gives the vdues R = 1:C + 102 N ( s )= ICls~ 0.1s + + h) N ( s ) = + -k 0.1 0.01s 4- 0.1 52 I s2 -0.01s 92 100; I, = I : + 0.01 s + 0.1 + -0.0 1s - 1+ ~ (s 01)2 A U$ + h(t) = a ( t ) O.O1e(t)e-mlf c o s d l t with 01 = 0 : d ~= fi33iiF A0 and A = -0.01; B = -.L M xI 1.58.1P w'l or h ( t )= S ( l ) + e - " l ~ ( f ) AI c o ~ ( w l+t pi) with Al 0.01 ancl M (PI x -89" c) KCIC{/I} : R P { R> } - U ] Right-sided since h ( f )is the impulse rcsponstb of a real system a d must therefore be cmzsal d) Tlic system iesponsc ? ( t )convcrgcs if ROC{l(s) contains the iinagmary axis Since ROC{ I ( s ) ) =KOC{N(s))nROe{vcs)}, ROC(Lr(s)}mist also ' and WO can be trcely chosen The coritaiii the imaginary axis So crg > input signal can B;LTIC any amplitmk, but mist d e t q 01 er Iiine