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PROBLEM 8 Determine whether or not each of the following continuous time signals is periodic. If the signal is periodic, determine its fundamental period. a) (x(t) = 3 cos left(2t + frac{pi}{6} ight)) b) (x(t) = e^{j(pi t - 2)}) c) (x(t) = left[cos left(4pi t - frac{pi}{3} ight) ight]^2) d) (x(t) = egin{cases} 0.2cos left(4pi t ight) & t ge 0\ 0.2cos left(-4pi t ight) & t < 0 end{cases}) PROBLEM 9 Determine whether or not each of the following discrete time signals is periodic. If the signal is periodic, determine its fundamental period. a) (x[n] = 2 cos left(frac{5pi}{7}n + 1 ight)) b) (x[n] = sin left(frac{pi}{4}n^2 ight)) c) (x[n] = 2sin left(frac{pi}{4}n ight) + cos left(frac{pi}{2}n ight) - 3cos left(frac{pi}{2}n + frac{pi}{3} ight))

          PROBLEM 8
Determine whether or not each of the following continuous time signals is periodic. If the signal is
periodic, determine its fundamental period.
a) (x(t) = 3 cos left(2t + frac{pi}{6}
ight))
b) (x(t) = e^{j(pi t - 2)})
c) (x(t) = left[cos left(4pi t - frac{pi}{3}
ight)
ight]^2)
d) (x(t) = egin{cases} 0.2cos left(4pi t
ight) & t ge 0\ 0.2cos left(-4pi t
ight) & t < 0 end{cases})
PROBLEM 9
Determine whether or not each of the following discrete time signals is periodic. If the signal is
periodic, determine its fundamental period.
a) (x[n] = 2 cos left(frac{5pi}{7}n + 1
ight))
b) (x[n] = sin left(frac{pi}{4}n^2
ight))
c) (x[n] = 2sin left(frac{pi}{4}n
ight) + cos left(frac{pi}{2}n
ight) - 3cos left(frac{pi}{2}n + frac{pi}{3}
ight))

$PROBLEM 8 Determine whether or not each of the following continuous time signals is periodic. If the signal is periodic, determine its fundamental period. a) (x(t) = 3 cos left(2t + fracpi6 ight)) b) (x(t) = e^j(pi t - 2)) c) (x(t) = left[cos left(4pi t - fracpi3 ight) ight]^2) d) (x(t) = egincases 0.2cos left(4pi t ight) t ge 0 0.2cos left(-4pi t ight) t < 0 endcases) PROBLEM 9 Determine whether or not each of the following discrete time signals is periodic. If the signal is periodic, determine its fundamental period. a) (x[n] = 2 cos left(frac5pi7n + 1 ight)) b) (x[n] = sin left(fracpi4n^2 ight)) c) (x[n] = 2sin left(fracpi4n ight) + cos left(fracpi2n ight) - 3cos left(fracpi2n + fracpi3 ight))$

Added by Anthony V.

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