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tutorial1 - a t x t ty dt t dy dt t y d = 2 2 b t x dt t dx...

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EE3118 Linear Systems and Signal Analysis KST SemA 2008/09 Tutorial 1 Q1. Sketch the following functions (a) x 1 (t)=u(t-1) (b) x 2 (t)= δ (t-2) (c) x 3 (t)=u(t+1)-u(t-1) (d) x 4 (n)= nT 5 . 0 where n=0,1,2,… and T=1 (e) x 5 (n)= nT 5 . 0 where n=0,1,2,… and T=0.1 Q2. Represent the following signals in terms of step and ramp signals. Q3. Let ) 5 . 0 ( cos ) ( 1 t t x π = and ) 3 / ( cos ) ( 2 t t x π = signals, Is ) ( ) ( 2 1 t x t x + a periodic signal? If yes, what is its period? Q4. Determine whether ( ) t u e t 2 is a energy signal, power signal or neither of both. Q5. Let x(t) and y(t) be the input and output of a system, respectively, identify the following systems as linear or nonlinear, and time varying or time invariant
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Unformatted text preview: a) ( ) ( ) ( ) ( ) t x t ty dt t dy dt t y d = + + 2 2 b) ( ) ( ) ( ) ( ) ( ) t x dt t dx t y dt t dy dt t y d 3 5 10 4 2 2 + = + + + c) ( ) ( ) ( ) ( ) ( ) ( ) t x dt t dx dt t x d t y dt t y d dt t y d + + = + − 2 2 2 2 5 5 2 5 6 d) ( ) ( ) ( ) t x t y dt t dy t y = + 5 ) ( Q6. Consider a linear and time invariant system H, and it is known that its output is ( ) t y S 1 and ( ) t y S 1 if a unit step and a unit ramp signals are inputted, respectively. What is the output of the system if the signal Q2(b) is inputted....
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