A signal of the form x(t) = cos(2π fot + 0) is sampled by an impulse train with period T. The sampled signal is then passed through an ideal low pass filter with the following frequency response. Ĥ(ƒ) = T |f|≤1/(2T) |f| > 1/(27) If the sampling period T is 1.5 ms, determine the reconstructed signal for each of the values fo, given below. (a) fo =200Hz and 0 = π/3 (b) fo=500Hz and 0 = =π/5 (c) fo = 1200Hz and 0 = π/6

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A signal of the form x(t) = cos(2π fot + 0) is sampled by an impulse
train with period T. The sampled signal is then passed through an ideal low pass
filter with the following frequency response.
Ĥ(ƒ)
=
T |f|≤1/(2T)
|f| > 1/(27)
If the sampling period T is 1.5 ms, determine the reconstructed signal for each of
the values fo, given below.
(a) fo =200Hz and 0 = π/3
(b) fo=500Hz and 0 =
=π/5
(c) fo = 1200Hz and 0 = π/6
Transcribed Image Text:A signal of the form x(t) = cos(2π fot + 0) is sampled by an impulse train with period T. The sampled signal is then passed through an ideal low pass filter with the following frequency response. Ĥ(ƒ) = T |f|≤1/(2T) |f| > 1/(27) If the sampling period T is 1.5 ms, determine the reconstructed signal for each of the values fo, given below. (a) fo =200Hz and 0 = π/3 (b) fo=500Hz and 0 = =π/5 (c) fo = 1200Hz and 0 = π/6
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