Question

Problem 1. Determine if the LTI systems with impulse responses as given below are sta ble/unstable and causal/non-causal Note: u(t)/ ulnl represents unit-step. δ(1)/ δ[n] represents unit impulse. I. hl (t) = δ(t + 4)-5(5-t) 2. h2(l) e"cos(nt)u(-)

Answer 1

Cousas systeam:- The 'sysem in which poesent cutput depends anly on pusent and past values,t should not depends on Futuoe alues stable systeins The Sydtem is said to te stodle uhen at t--3 then h6-3)s depends on uCuhich' fuhive value hence it is on-ausal hese tt ずhntsidel butirp ut sigrolult)isleft sided here the system alunys gives beorded gutput femult) Hence t is stoble

here fra sent uues eft.hlt) it.nly-tu' ofn 어 and pst uaun erde ausal 隊 (int unboundori enae it i unstale syste herve. heh) is augal system And aso oo ite leryh sequance et nput alay

hese 3l is in@oeasing fundtion of 'n', but the inrt beunded signals left sided siyrJ u hich ensuroes the beuurdled eut put hence his stable sysfem