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# ansT1 - Q5(a linear and time-varying system(b nonlinear...

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EE3118 Linear Systems and Signal Analysis KST SemA 2008/09 Answer of Tutorial 1 Q 1 . ( a ) ( b ) ( c ) (d) (e) Q2. (a) () ( ) ( )( ) ( ) [] 3 5 3 1 2 + = t u t r t u t r t x (b) x(t) = u(t)-r(t-1)+r(t-3) (c) () = = 0 )] 4 2 ( ) 4 ( [ n n t u n t u t x (d) x(t) = [-2u(t+1)+r(t)]u(2-t) Q3. Yes, ) ( ) ( 2 1 t x t x + is a periodic signal. The period of x 1 is 4s and the period of x 2 is 6s. Taking the LCM, the period of ) ( ) ( 2 1 t x t x + is 12 s Q4.
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Unformatted text preview: Q5. (a) linear and time-varying system (b) nonlinear time-invariant system (c) linear time-invariant system (d) nonlinear time-invariant system Q6. ( ) ( ) 5 ) 3 ( ) 1 ( ) ( 1 2 2 1 − + − + − − = t y t y t y t y t y S S S S 2 x(t) t 1 -1 x(t) 1 -1 x(t) 1...
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