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hw08su09

hw08su09 - 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 #8 Assigned: 01-Jul-09 Due Date: 13-Jul-09 The third quiz is in class on Monday, 13-Jul-09. Remember there are no makeup exams; if you have a valid, documented excuse for missing the exam, your final average will be computed without it. Please check T-square Announcements and chat daily. All official course announcements will be posted there. ALL of the STARRED problems should be turned in for grading. PROBLEM 8.1 *: Express each of the following signals in a simpler form. Be sure to notice the difference between convolution and multiplication. (a) x ( t ) = -∞ cos(2 πτ ) δ ( t - τ ) (b) x ( t ) = -∞ cos(2 πτ ) δ ( τ - 0 . 5) (c) x ( t ) = t -∞ cos(2 πτ ) δ ( τ + 0 . 7) (d) x ( t ) = [sin(2 πt ) u ( t + 0 . 7)] * δ (1) ( t ), where δ (1) ( t ) is the strange “doublet” from Section 9-5.2 of Signal Processing First. (e) x ( t ) = δ ( t + 7) * δ ( t - 3) (f) x ( t ) = δ ( t + 7) × δ ( t - 3).

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