BC:2.2 Given the continuous time signal, f(t) = 11 cos (20000πt + 19°) for each of the sampling periods in parts (a-e) listed below, sketch the two sided spectrum vs the nor- malized radial frequency, w, including all aliases be- tween 47 and 47. Include the complex coeffients for each spectral line as magnitude and phase angle (in degrees). For each of parts (a-e) below, identify the normalized radial frequency, wo (in radians) and corresponding angle, 0, (in degrees), for the prin- cipal zone (principal alias) description of the sam- pled cosine that has the form f[n] A cos(won + 0o). For each case, identify whether the sampled sig- nal is oversampled or undersampled and justify your choice. a.) T, = Δt = 180 με b.) Ts At Δt = 135 με c.) T, = Δt = 75 με d.) T, = Δt = 37.5 με e.) T, = Δt = 15 με Ts = =

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BC:2.2 Given the continuous time signal,
f(t) = 11 cos (20000πt + 19°)
for each of the sampling periods in parts (a-e) listed
below, sketch the two sided spectrum vs the nor-
malized radial frequency, ŵ, including all aliases be-
tween 47 and 47. Include the complex coeffients
for each spectral line as magnitude and phase angle
(in degrees). For each of parts (a-e) below, identify
the normalized radial frequency, wo(in radians) and
corresponding angle, 0, (in degrees), for the prin-
cipal zone (principal alias) description of the sam-
pled cosine that has the form f[n] = Acos(won +
0o). For each case, identify whether the sampled sig-
nal is oversampled or undersampled and justify your
choice.
a.) T, = Δt = 180 με
b.)
T,
Ts
= Δt = 135 με
c.) T, = Δt = 75 με
d.) T, = Δt = 37.5 με
e.)
T,
Ts
= Δt = 15 με
Transcribed Image Text:BC:2.2 Given the continuous time signal, f(t) = 11 cos (20000πt + 19°) for each of the sampling periods in parts (a-e) listed below, sketch the two sided spectrum vs the nor- malized radial frequency, ŵ, including all aliases be- tween 47 and 47. Include the complex coeffients for each spectral line as magnitude and phase angle (in degrees). For each of parts (a-e) below, identify the normalized radial frequency, wo(in radians) and corresponding angle, 0, (in degrees), for the prin- cipal zone (principal alias) description of the sam- pled cosine that has the form f[n] = Acos(won + 0o). For each case, identify whether the sampled sig- nal is oversampled or undersampled and justify your choice. a.) T, = Δt = 180 με b.) T, Ts = Δt = 135 με c.) T, = Δt = 75 με d.) T, = Δt = 37.5 με e.) T, Ts = Δt = 15 με
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