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ece_350_hwset1_new

# ece_350_hwset1_new - ECE 350 Spring 2010 Homework Set 1...

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ECE 350 Spring, 2010 Homework Set 1 Read Chapter 1 of Lathi (pp. 68 – 131). 1. Find the energy in each of the signals below: a. x(t) b. x(t) -2 2 2 t t 0 5 2 c . d . x(t) x(t) t 2 1 0 1 3 4 t 2 1 0 2 3 2. Let E x denote the energy in some signal, x(t), and let k be a constant. Find the energy in: a. x(-t) b. x(t – k) c. k x(t) d. – x(t) 3. Consider x(t) as shown in problem 1b. Graph each of the following: a. x(t – 2) b. 4 x(t) c. x(-t) d. x(t + 3) e. x(2t) f. x(t/2) 4. Find the power and the rms values for each of the signals below: a. x(t) t 3 -3 -5 0 5 10 15 20 b. x(t) = 10 (for all t) c. x(t) = -10 (for all t)

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ECE 350 Spring, 2010 d. x(t) t 3 0 5 10 15 -10 -5 e. x(t) t -5 0 5 10 15 3 5. Let P x denote the power in some signal, x(t), and let k be a constant. Find the power in: a. 4 x(t) b. – x(t) c. k x(t) 6. Find the power and the rms value for each of the signals below: a. 10 cos(200t) b. -4 sin(2 π 1000t + 20 ° ) c. 2 + 4 cos(200t) d. 10 cos(200t) + 4 sin(200t) Hint: See p. 72, part d 7a. Find the energy in the signal: x(t) = cos(200t). 7b.
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ece_350_hwset1_new - ECE 350 Spring 2010 Homework Set 1...

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