The figure below shows a continuous time signal xe(t) being sampled (i.e multiplied by the train of impulses s(t)) at a frequency fs=1/T. The resulting sampled signal x (t) then passes through an ideal reconstruction filter H, (an ideal low pass filter) to give the reconstructed continuous time signal x,(t). Assume that the input signal is s(t) = - Σ xc(t) OaXc(t)=2cos(50nt)+cos(150nt) Ob.XC(t)=2cos(100nt)+cos(300nt) OcXc(t)=2cos(50nt)+cos(300nt) Od.xc(t)=2cos(200nt)+cos(600nt) O eXc(t)=2cos(100nt)+cos(200nt) and that the frequency response of the ideal reconstruction filter is 12--00 8(t-nT) X xs(t) H, (w) xc(t)=2cos(100nt)+cos(300nt) Assume that fs = 1/T=250 samples/sec. What is the output xy(t) in this case? Hr(w)=T |w|sTVTO |w|>TVT x,(t)

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The figure below shows a continuous time signal xe(t) being sampled (i.e multiplied by the train of impulses s(t)) at a frequency fs=1/T. The resulting sampled
signal x (t) then passes through an ideal reconstruction filter H, (an ideal low pass filter) to give the reconstructed continuous time signal x,(t).
Assume that the input signal is
s(t) =
- Σ
xc(t)
OaXc(t)=2cos(50nt)+cos(150nt)
Ob.XC(t)=2cos(100nt)+cos(300nt)
OcXc(t)=2cos(50nt)+cos(300nt)
Od.xc(t)=2cos(200nt)+cos(600nt)
O eXc(t)=2cos(100nt)+cos(200nt)
and that the frequency response of the ideal reconstruction filter is
12--00
8(t-nT)
X
xs(t)
H, (w)
xc(t)=2cos(100nt)+cos(300nt)
Assume that fs = 1/T=250 samples/sec. What is the output xy(t) in this case?
Hr(w)=T |w|sTVTO |w|>TVT
x,(t)
Transcribed Image Text:The figure below shows a continuous time signal xe(t) being sampled (i.e multiplied by the train of impulses s(t)) at a frequency fs=1/T. The resulting sampled signal x (t) then passes through an ideal reconstruction filter H, (an ideal low pass filter) to give the reconstructed continuous time signal x,(t). Assume that the input signal is s(t) = - Σ xc(t) OaXc(t)=2cos(50nt)+cos(150nt) Ob.XC(t)=2cos(100nt)+cos(300nt) OcXc(t)=2cos(50nt)+cos(300nt) Od.xc(t)=2cos(200nt)+cos(600nt) O eXc(t)=2cos(100nt)+cos(200nt) and that the frequency response of the ideal reconstruction filter is 12--00 8(t-nT) X xs(t) H, (w) xc(t)=2cos(100nt)+cos(300nt) Assume that fs = 1/T=250 samples/sec. What is the output xy(t) in this case? Hr(w)=T |w|sTVTO |w|>TVT x,(t)
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