HW1 - ECE 301 Homework#1 due date http/cobweb.ecn.purdue.edu ∼ chihw/10ECE301F/10ECE301F.html Review of calculus and arithmetics Question 1

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Unformatted text preview: ECE 301, Homework #1, due date: 9/01/2010 http://cobweb.ecn.purdue.edu/ ∼ chihw/10ECE301F/10ECE301F.html Review of calculus and arithmetics: Question 1: Compute the values of the following integrals. Z 2 π π cos(2 ω- 1 + πω 3 ) dω Z . 5 π sin( π/ 4- 2 u ) du Z 3 1 Z 5 1 . 5 sin( 3 xπ 4 + yπ 3 ) dxdy Question 2: Compute the values of the following integrals. Z 3 π- π 2-| t | e- j 3 π 4 t dt Z 3- 3 ω sin( π 3 ω ) dω Z 2- 2 ( | z- 1 | ) e j 2 πz dz Question 3: Compute the values of the following integrals. Z 5 1 | (1- 2 u ) + j cos( u ) | 2 du Z 1- 3 Z 5 1 fl fl fl fl 1 (1- t ) + j 2 √ t fl fl fl fl 2 dtds Question 4: Compute the expressions of the following integrals. Z 2 ω ( t- 2 s ) e jωπ (2 t- s ) dt and 1 T ˆ Z T/ 2- T ( T 2- t ) e- j 2 kπ T t dt + Z 2 T T/ 2 ( t- T 2 ) e- j 2 kπ T t dt ! , where k is an integer. Question 5: Suppose f ( s ) = s 2- 4 s + 3. Define g ( t ) = f (2- t ). Compute the following values....
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This note was uploaded on 10/07/2010 for the course ECE 301 taught by Professor V."ragu"balakrishnan during the Fall '06 term at Purdue University-West Lafayette.

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HW1 - ECE 301 Homework#1 due date http/cobweb.ecn.purdue.edu ∼ chihw/10ECE301F/10ECE301F.html Review of calculus and arithmetics Question 1

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