EL611_2011_HW 1

EL611_2011_HW 1 - EL 6113 Assignment 1 1 For the...

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Unformatted text preview: EL 6113 Assignment 1 1. For the given f(t), evaluate a. f(t ­3) b. f(2t ­3) f(t) f(t) 5 4 3 2 1 0  ­3  ­2  ­1 f(t) 0 1 2 3 Time 2. Decompose the f(t) indicated above into its odd component, !! (! ), and even component !! (! ). 3. For the f[n] indicated below, evaluate: a. f[2n] b. f[2n+1] c. f[.5n] d. f[ ­n ­1] f[n] 5 4 3 f[n] 2 1 0  ­4  ­3  ­2  ­1 0 1 2 3 4. Given ! ! = 5! ! + 2 − ! ! + 3! ! − 2 − 7! (! − 4), sketch x(t) and x( ­2t ­4) 5. Consider the function: ! ! = ! ! Determine if this signal is a power signal , an energy signal, or neither. 6. Consider a periodic signal: !! = 1,0 < ! < 1 −2,1 < ! < 2 with period T=2. Find the derivative of this function in terms of g(t), where g(t) is: ! ! (! − 2! ) ! !!! ...
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