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Unformatted text preview: t ) = exp(2 t ) u ( t ) (b) f ( t ) = tu ( t ) + (exp(1t )t ) u ( t1) (c) f ( t ) = Re { exp((1 + 2 πj ) t ) } u (1t ) 2.4 (a) Express the signals in the ﬁgure below by a single expression valid for all t . (b) Carefully sketch the signals f 2 ( t3), 3 f 2 (2 t + 2) and f 2 (2 t1). (Note: the use of the step function u ( t ) will come in handy for the ﬁrst part) 2.5  Simplify the following expressions: (a) ± sin t t 3 +2 ² δ ( t ) (b) 5+ jt 2jt δ ( t2) (c) R ∞∞ (2 t5) δ ( t2) dt (d) exp(3 k ) cos(401 πk ) δ ( k + 1) (e) R x +1∞ (2 t5) δ ( tx ) dt (f) R ∞∞ exp(3 x ) cos(401 πx ) δ ( x + 1) dx 2.6  Find and sketch the even and odd components of f ( t ) = t ( u ( t + 1)u ( t2)) . 2...
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This note was uploaded on 11/08/2011 for the course EE 111 taught by Professor Kim during the Spring '11 term at Korea University.
 Spring '11
 KIM

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