Chap1_periodic

# Chap1_periodic - Periodic Signals: 1. For the following...

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Periodic Signals: 1. For the following signals, (i) determine analytically which are periodic (if periodic, give the period) and (ii) sketch the signals. (Scale your time axis so that a sufficient amount of the signal is being plotted.). a) x(t) = 4 cos(5 π t) b) x(t) = 4 cos(5 π t- π /4) c) x(t) = 4u(t) + 2sin(3t) d) x(t) = u(t) - 1/2 e) x[n] = 4 cos( π n) f) x[n] = 4cos( π n-2) g) x[n] = 2sin(3n) h) x[n] = u[n]+p 4 [n] 2. Determine if the following signals are periodic; if periodic, give the period. a) x(t) = cos(4t) + 2sin(8t) b) x(t) = 3cos(4t) + sin( π t) c) x(t) = cos(3 π t) + 2cos(4 π t) 3. Give an expression for the signal: -2 -1 0 1 2 3

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## Chap1_periodic - Periodic Signals: 1. For the following...

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