# assign1 - signals a b c 2 − t x 1 t x 2 t x − d ⎟ ⎠...

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EE 351.3 Signals and Systems Assignment #1 Assigned: 16 September 2010 Due: 23 September 2010 1. Express the following complex numbers in the form ( jy x + ): a) π j e 2 1 b) j e 2 1 c) 2 j e d) 2 5 j e e) 4 2 j e 2. Express the following complex numbers in the form ( θ j re , with < ): a) 3 b) c) j 3 j + 1 d) ) 1 ( j j e) ) 1 /( ) 1 ( j j + 3. Sketch the following signals. Determine E and P . Which are finite energy signals, and which are finite power signals? a) b) otherwise 4 4 , 0 , 1 ) ( = t t x 3 ) ( = t x c) d ) 0 0 , 0 , ) ( 2 < = t t e t x t ( ) 0 0 , 0 , 2 1 ] [ < = n n n x n 4. Are the following signals periodic? If so, what is the fundamental period? a) b) ) cos( ) ( t t x = ) 2 2 sin( 3 ) ( + = t t x c) d) t e t x 2 ) ( = t j e t x 2 ) ( = e) ) cos( ] [ n n x = f) n j e n x 2 5 ] [ = 1 of 2

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5. For the signals ) ( t x and ] [ n y shown below, sketch and label the following
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Unformatted text preview: signals: a) b) c) ) 2 ( − t x ) 1 ( + t x ) 2 ( t x − d) ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ 2 t x e) f) ) 2 ( t x ) 2 2 ( + t x g) h) i) [ 2 − n y ] [ ] 1 + n y [ ] n y − 2 j) ⎥ ⎦ ⎤ ⎢ ⎣ ⎡ 2 n y k) [ ] n y 2 l) [ ] 2 2 + n y m) even and odd components of ) ( t x n) even and odd components of [ ] n y 6. Sketch 1 cycle of the following signal in the complex plane, and also 1 cycle of the real and imaginary components separately on time axes (assume t is in seconds): at Ce t x = ) ( , where and ) 2 / ( 2 π j e C − = 2 j a = 2 of 2...
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## This note was uploaded on 01/20/2011 for the course EE 351 taught by Professor Klymshyn during the Fall '10 term at University of Saskatchewan- Management Area.

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assign1 - signals a b c 2 − t x 1 t x 2 t x − d ⎟ ⎠...

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