dan m
pfm Member
In that relation 'omega (F)' is the instantaneous phase, which should be in radians per period. Which can be converted to instantaneous frequency by multiplying by the sample rate and dividing by 2Pi and hey presto, the desired output.
OK, that makes sense.
I optionally bandpass the input signal at the measured centre frequency, use an FIR Hilbert Transformer to generate Q,..
This is confusing to me - why 'optionally' - the primes are the bandpassed quantities, right? So shouldn't be optional. I was thinking the bandpassing of the input signal (I') would be done in frequency space using FFTs to go back and forth, i.e., f'(M(f(I))), but I think you are saying it can also be done with Q, i.e., Q'(M(Q(I)). Is that right. Finally, since Q produces a complex number, are you just looking at the real part for omega? I realize I'm using ' to denote both bandpassing and inverse - sorry about that.
cheers,
Dan