skema_test1SEE2043sesi20102011sem1.docx (1).pdf - 1 NAME IC NO SECTION LECTURER\u2019S NAME SEE 2043 SIGNAL AND NETWORKS TEST 1 17 AUGUST 2010 SEM 01 SESI

skema_test1SEE2043sesi20102011sem1.docx (1).pdf - 1 NAME IC...

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1 NAME IC NO. SECTION LECTURER’S NAME SEE 2043 SIGNAL AND NETWORKS TEST 1 ( 17 AUGUST 2010 ) SEM 01 SESI 2010/2011 Total Pages = 5 QUESTION 1 (a) i) Sketch the following signal. ) 2 ( ) ( ) ( 1 t u t u t t f and ) 3 ( ) 2 ( ) 3 ( 2 ) ( 2 t u t u t t f (4 marks) ii) Sketch the waveform ) ( ) ( ) ( 2 1 t f t f t f . Determine the mathematical expression of ) ( t f in terms of unit step and/or ramp functions. (4 marks) ) ( ) ( ) ( 2 1 t f t f t f ) 3 ( ) 2 ( ) 3 ( 2 ) 2 ( ) ( ) ( t u t u t t u t u t t f = ) 3 ( ) 3 ( 2 ) 2 ( ) 2 ( 3 ) ( t u t t u t t tu 2 2 2 f 1 (t) f 2 (t) f(t) 2 2 3 t t t 3 2 0 0 2 2 2 2 0
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2 (b) ) ( t x is the input to an LTI system with unit impulse response ) ( t h , where. ) ( ) ( t u t x and ) 5 ( 2 ) ( t u t h Determine and sketch the convolution of the two signals. (6 marks) 5 t d t h x t h t x ) ( ) ( ) ( ) ( 0 5 t d t h x t h t x ) ( ) ( ) ( ) ( d t h t x t ) 2 ( ) 1 ( ) ( ) ( 5 0 5 0 2 ) ( ) ( t t h t x 0 ) 5 ( 2 ) ( ) ( t t h t x 10 2 ) ( ) ( t t h t x 0 1 t x(t) 0 t-5 2 h(t- τ ) 2t-10 t x(t)*h(t) 5 0 1 2 1 1 0 2 t h(t) 5 0.5 0.5
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3 QUESTION 2 a) i)
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