HW1 - ECE 301, Homework #1, due date: 1/20/2010...

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Unformatted text preview: ECE 301, Homework #1, due date: 1/20/2010 http://cobweb.ecn.purdue.edu/ ∼ chihw/10ECE301S/10ECE301S.html Review of calculus and arithmetics: Question 1: Compute the values of the following integrals. Z 3 π π sin( s + 1 + π/ 3) ds Z . 5 π cos( π/ 2- 2 u ) du Z 3 . 5 1 Z 5 3 cos( 3 xπ 5 + yπ 4 ) dxdy Question 2: Compute the values of the following integrals. Z 2 π- π 3-| t | e j 3 π 4 t dt Z 3- 3 ω cos( π 2 ω ) dω Z 2- 2 (2- | z | ) e j 2 πz dz Question 3: Compute the expressions of the following integrals. Z 2 ω ( t- 2 s ) e jωπ (2 t- s ) ds and 1 T ˆ Z T/ 2- T/ 2 ( T 2- t ) e- j 2 kπ T t dt + Z 3 T/ 2 T/ 2 ( t- T 2 ) e- j 2 kπ T t dt ! , where k is an integer. Question 4: Suppose f ( t ) = t 2- 3 t + 2. Define g ( t ) = f (1- 2 t ). Compute the following values. g (3) Z 5 2 g (1 + s ) ds and Z 3 g ( s ) e jπs ds, where g ( t ) is the first order derivative of g ( t )....
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This note was uploaded on 02/22/2010 for the course ECE 301 taught by Professor V."ragu"balakrishnan during the Spring '06 term at Purdue University.

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HW1 - ECE 301, Homework #1, due date: 1/20/2010...

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