Suppose you have a set of real-valued waveforms {s1(t), s2(t),..., sN(t)}, and you want to find a...

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Suppose you have a set of real-valued waveforms{s1(t), s2(t),..., sN(t)}, and youwant to find a basis for the span of their complex envelopes. Theobvious approach would be to first downconvert each of thewaveforms, and then apply the Gram-Schmidt procedure to the set ofcomplex envelopes. Will we get the same answer if we first applyGram-Schmidt, and then downconvert? Justify your answer.

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