ASN7 - Sampled half of signal

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Rule of thumb for sampling is sample slightly greater than the signal. But soppose you sampled only half of the signal can you do something to recover the whole original signal agian?

Lets emagine that from our sampling we splitted the positive and the negitave part of the signal. So now we have the negitive half repeated on the negitive axis and the positive half all along the positive axis.

the trick now is to resample at a frequency that willplace the negative and positive half side by side. When found that frequency use it sample again. After doing this you should have a number of copies of the original signal. To get just one apply a band pass filter.