HW #1_Signal opeartions_solns - ELEC3920 Engineering Signals and Systems HW#1 Solutions Due Thursday September 15th Signal Operations Textbook reading

HW #1_Signal opeartions_solns - ELEC3920 Engineering...

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ELEC3920 Engineering Signals and Systems HW #1 Solutions Due Thursday, September 15 th Signal Operations Textbook reading Linear Systems and Signals p75 – p82 (Signal operations) p96 – p99 (Even and odd functions) Practice problems Problem #1 For the signal 𝑥𝑥 ( 𝑡𝑡 ) depicted below, sketch the signals (a) 𝑥𝑥 ( −𝑡𝑡 ) (b) 𝑥𝑥 ( 𝑡𝑡 + 6) (c) 𝑥𝑥 (3 𝑡𝑡 ) (d) 𝑥𝑥 ( 𝑡𝑡 2 )

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Problem #2 For the signal 𝑥𝑥 ( 𝑡𝑡 ) depicted below, sketch the signals (a) 𝑥𝑥 ( 𝑡𝑡 − 4) (b) 𝑥𝑥 ( 𝑡𝑡 1 . 5 ) (c) 𝑥𝑥 ( −𝑡𝑡 ) (d) 𝑥𝑥 (2 𝑡𝑡 − 4) (e) 𝑥𝑥 (2 − 𝑡𝑡 )

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Problem #3 Let 𝑥𝑥 ( 𝑡𝑡 ) represent the signal shown in the following plot. (a) The following plot shows a signal 𝑦𝑦 ( 𝑡𝑡 ) , which is derived from 𝑥𝑥 ( 𝑡𝑡 ) . Determine the expression for 𝑦𝑦 ( 𝑡𝑡 ) in terms of 𝑥𝑥 ( ) . 𝑦𝑦 ( 𝑡𝑡 ) = 𝑥𝑥 (1 2 𝑡𝑡 ) (b) This is a challenging problem. Assume that 𝑥𝑥 ( 𝑡𝑡 ) can be written as the sum of an even part 𝑥𝑥 𝑒𝑒 (

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• Fall '12
• G
• English-language films, Even and odd functions, following plot

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