hw7sol - Carnegie Mellon University Department of...

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Unformatted text preview: Carnegie Mellon University Department of Electrical and Computer Engineering 18-100 Fall 2009 Introduction to Electrical and Computer Engineering Homework 7 - Due Tuesday, October 27, 2008 Problem 1: 15 points a.) ? ? = ?? 2 1 ? ?? 2 2 ? = 2 [cos 2 1 + 2 ? + cos 2 1 2 ? ] , with frequencies f 1 +f 2 & f 1-f 2 b.) ? ? = ?? 2 1 ? ?? 2 1 ? = 2 cos 2 2 1 ? , with frequency 2f 1 c.) ? ? = ?? 2 1 ? ? 2 2 ? = 2 [sin 2 1 + 2 ? sin 2 1 2 ? ] , with frequencies f 1 +f 2 & f 1-f 2 d.) ? ? = ? 2 1 ? ? 2 2 ? = 2 [cos 2 1 2 ? cos 2 1 + 2 ? ] , with frequencies f 1 +f 2 & f 1-f 2 e.) ? ? = ?? 2 1 ? + ?? 2 2 ? ?? (2 3 ? ) = 2 [cos 2 1 + 3 ? + cos 2 1 3 ? ] + 2 [cos 2 2 + 3 ? + cos 2 2 3 ? ] , with frequencies f 1 +f 3 , f 1-f 3 , f 2 +f 3 & f 2-f 3 Problem 2: 20 points a.) Plot of M(f) b.) Plot of S(f) f1,A1/2 f2,A2/2 f3,A3/2 1 2 3 1 2 3 Amplitude Frequency c.) The bandwidth is 2*f...
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hw7sol - Carnegie Mellon University Department of...

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