(Solved) : 1 20 Figure 1 Shows Process Sampling Ct Signals T Sampling Period Trying Sample Ct Signal Q29950434 . . .
![1, (20%) Figure 1 (a) shows the process of sampling of CT signals, where T is the sampling period. we are trying to sample a CT signal x(t) with the corresponding CTFT X(ju) = e- (a) (7%) Is it possible to perfectly reconstruct the original signal x(t) from the DT sequence x[n]? Please state your reason clearly. Points will be deducted if we think the answer is incomplete. (b) (6%) To avoid aliasing while sampling a signal, we usually apply an ideal low-pass filter to the signal to make sure that the information we are interested in will not be distorted by the high frequency part of the signal. This filter is called the anti-aliasing filter. The entire procedure is shown in Figure 1 (b). Suppose that we fix the sampling period T, determine the maximum cutoff frequency wm of the anti-aliasing filter in terms of T to avoid aliasing and state your reason clearly. (c) (7%) Assume that we use the maximum cutoff frequency uPm in (b) for the anti-aliasing filter. Plot Xa(jw) and Xp(jw), which is the CTFT of xa(t) and xp(t) in Figure 1 (b), respectively. xit) tplt) Conversionxn] to a sequence x(t) | Anti- filter seqee Figure 1](https://media.cheggcdn.com/media%2F332%2F3329697d-6569-4d1a-a188-0201161d2fec%2Fphp1WlIpW.png)
1, (20%) Figure 1 (a) shows the process of sampling of CT signals, where T is the sampling period. we are trying to sample a CT signal x(t) with the corresponding CTFT X(ju) = e- (a) (7%) Is it possible to perfectly reconstruct the original signal x(t) from the DT sequence x[n]? Please state your reason clearly. Points will be deducted if we think the answer is incomplete. (b) (6%) To avoid aliasing while sampling a signal, we usually apply an ideal low-pass filter to the signal to make sure that the information we are interested in will not be distorted by the high frequency part of the signal. This filter is called the anti-aliasing filter. The entire procedure is shown in Figure 1 (b). Suppose that we fix the sampling period T, determine the maximum cutoff frequency wm of the anti-aliasing filter in terms of T to avoid aliasing and state your reason clearly. (c) (7%) Assume that we use the maximum cutoff frequency uPm in (b) for the anti-aliasing filter. Plot Xa(jw) and Xp(jw), which is the CTFT of xa(t) and xp(t) in Figure 1 (b), respectively. xit) tplt) Conversionxn] to a sequence x(t) | Anti- filter seqee Figure 1 Show transcribed image text
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Answer to 1 20 Figure 1 Shows Process Sampling Ct Signals T Sampling Period Trying Sample Ct Signal Q29950434 . . .
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