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# HW1 - ECE 301 Homework#1 due date...

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ECE 301, Homework #1, due date: 8/31/2011 http://cobweb.ecn.purdue.edu/ chihw/11ECE301F/11ECE301F.html Review of calculus and arithmetics: Question 1: Compute the values of the following integrals. You can leave your answers in the form of trigonometric function values cos(1 . 35). There is no need to use calculator to find the numerical value of the final answer. Z π 4 π cos(2 ω - π - πω 4 ) Z 0 . 5 π 0 sin( π/ 3 + 2 u ) du Z 2 . 5 0 Z 2 1 sin( 3 5 - 2 ) dxdy Question 2: Compute the values of the following integrals. Z 2 π - 4 π 3 | t | e - j 2 π 3 t dt Z 2 - 2 ω cos( π 4 ω ) Z 3 - 3 ( | z + 2 | ) e j 2 πz dz Question 3: Compute the values of the following integrals. Z 5 1 | sin( πω ) + j (2 + ω ) | 2 Z 3 1 Z 5 2 fl fl fl fl 1 (1 - t ) + j 2 t fl fl fl fl 2 dsdt

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Question 4: Compute the expressions of the following integrals. Z 2 ω 0 ( t + 2 s ) e - jωπ (2 t + s ) dt and 1 T ˆ Z T/ 2 - T ( T 2 - t ) e - j 2 T t dt + Z 2 T T/ 2 ( t - T 2 ) e - j 2 T t dt ! , where k is an integer.
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