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hw06su09

# hw06su09 - GEORGIA INSTITUTE OF TECHNOLOGY SCHOOL of...

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GEORGIA INSTITUTE OF TECHNOLOGY SCHOOL of ELECTRICAL and COMPUTER ENGINEERING ECE 2025 Summer 2009 Problem Set #6 Assigned: 22-Jun-04 Due Date: 29-Jun-09 The second quiz is in class on Friday, 26-Jun-09. It will emphasize the material in Lectures 7 through 12, and Homeworks 3 through 5. Remember there are no makeup exams; if you have a valid, documented excuse for missing the exam, your average will be computed without it. Oversleeping is not a valid excuse. Please check T-square chat and announcements daily. All official course announcements will be posted there. ALL of the STARRED problems should be turned in for grading. PROBLEM 6.1 *: Consider a discrete-time LTI system 1 with the impulse response h [ n ] = 8 δ [ n - 1] - 8 δ [ n + 1]. Suppose the signal x [ n ] = 3 cos(ˆ ω a n + π/ 7) is input to the system. Your job in part (b) and part (c) will be to find ˆ ω a . (a) Find the frequency response of the system H ( e ˆ ω ). (b) Suppose that the output is y [ n ] = 2 cos(ˆ ω a n + π/ 7 + π/ 2). Find ˆ ω a , where 0 ˆ ω a π .

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hw06su09 - GEORGIA INSTITUTE OF TECHNOLOGY SCHOOL of...

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