Problem 1 Consider the system block diagram below where an analog signal w(t) is sampled by an impulse train. The sampled signal w(t) is filtered by the reconstruction filter H(f). w(t) Ws(t) TH(f) WR(t) f -1000 1000 Σ=- δ(t - nTs) (a) Draw the spectrums of the sampled and reconstructed signals, i.e. Ws(f) and WR (f) when Ts = 5 x 10s and the W(f) is as follows: W(f) (b) Draw W(f) and WR (f) for T₂ = 2.5 × 10−4s (c) Draw Ws(f) and WR (f) for Ts = 10-³s 1 f 500 1000 -1

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Problem 1
Consider the system block diagram below where an analog signal w(t) is sampled by an impulse
train. The sampled signal w(t) is filtered by the reconstruction filter H(f).
w(t)
Ws(t)
TH(f)
WR(t)
f
-1000
1000
Σ=- δ(t - nTs)
(a) Draw the spectrums of the sampled and reconstructed signals, i.e. Ws(f) and WR (f) when
Ts = 5 x 10s and the W(f) is as follows:
W(f)
(b) Draw W(f) and WR (f) for T₂ = 2.5 × 10−4s
(c) Draw Ws(f) and WR (f) for Ts = 10-³s
1
f
500 1000
-1
Transcribed Image Text:Problem 1 Consider the system block diagram below where an analog signal w(t) is sampled by an impulse train. The sampled signal w(t) is filtered by the reconstruction filter H(f). w(t) Ws(t) TH(f) WR(t) f -1000 1000 Σ=- δ(t - nTs) (a) Draw the spectrums of the sampled and reconstructed signals, i.e. Ws(f) and WR (f) when Ts = 5 x 10s and the W(f) is as follows: W(f) (b) Draw W(f) and WR (f) for T₂ = 2.5 × 10−4s (c) Draw Ws(f) and WR (f) for Ts = 10-³s 1 f 500 1000 -1
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