Oscillator design update
Filter Design, Statistics September 27th. 2007, 3:08pmI’ve been struggling to derive a suitable zero-lag high-pass filter. It is not as easy as deriving a zero-lag low-pass indicator. The design approach is the reverse of what we did in the previous case, and there comes a stage where you need to reduce the order of the filter whilst maintaining lag at high frequencies. The algebra is overly complicated, and I’m not sure if I’m doing the right thing. This is the best I could manage, but if far from perfect.
Two things I could do here. Either give-up on this task or consult someone specialised in filter design. Maybe I shall leave it for now and focus on other things.
March 9th, 2008 at 5:34 am
Wouldnt it be better to make a band-pass filter instead of just a high-pass filter? I mean for the purpose of designing an oscillator.
March 10th, 2008 at 8:29 am
A bandpass filter would have many advantages over a high pass filter, and it makes sense to limit the upper cutoff frequency of the filter. The approach I wanted to take here was to derive a transfer function from first principles, but again a bandpass model might be the best way of looking at it.