In the example illustration, why is c2,c3, c4 is 0? I quite miss that part.
@IlyaMikhelson
3 жыл бұрын
The k'th coefficient corresponds to the part of the signal that is at k times the fundamental frequency. In our signal, there are two frequencies: 2 and 10 radians/sec. The fundamental is 2 radians/sec. The two frequencies are therefore at 1 and 5 times the fundamental frequency. This means that the 1st and 5th coefficients will be nonzero, and the rest are zero. As a counterexample, suppose that we knew that the 4th coefficient was also nonzero. This would imply that there is a frequency of 4 times the fundamental (i.e. 8 radians/sec) in our signal. However, in our signal that is not the case, so we know that only the 1st and 5th will be nonzero. I hope this makes sense!
@jugsma6676
3 жыл бұрын
@@IlyaMikhelson , Excellent, i though about that. Now, i got my doubt clear. Thank you.
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