I have a question about equation 10.11, page 199 (2nd edition of the FX book)...
In short, the question is: is the equation correct?
It keeps puzzling me, as we are subtracting "M", which is a number of samples, from "nT" which is a value in seconds. I may be entirely missing the point, but it seems to me that equation 10.11 would work if M was a value in seconds, not number of samples.
In order to delay by a number of samples M, the exponent should be [j * omega * T * (n - M)] rather than [j * omega (nT - M)].
I thought this was perhaps a typo or something, but I see that the same equation is used multiple times later on so perhaps I'm just confusing myself...
Does anybody have any thoughts to share?
Thanks a lot!
Hi - yes this is a typo of sorts. It actually has origins in the way I used to teach this, where I took some liberties mixing analog and sampled sinusoid equations. You are correct about it working for seconds rather than samples. I found that students from high-school had no problems with analog sinusoid equations, so I would start there and kind of blend the two together. In the 2nd edition of the book I tried to reconcile that with nT instead of just (t). Sorry for the confusion.
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