Why is it undesirable to continue to acquire the time-domain signal after the NMR signal has decayed

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Why is it undesirable to continue to acquire the time-domain signal after the NMR signal has decayed away?
How can weighting functions be used to improve the SNR of a spectrum? In your answer describe how the parameters of a suitable weighting function can be chosen to optimize the SNR. Are there any disadvantages to the use of such weighting functions?

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