I've been told that phase-locked loop (PLL) increases the bandwidth and therefore makes the time constant smaller. (\$ \tau = 2Q/\omega_0 \$ and I understand \$Q \propto 1/ \delta\omega_0 \$)
I heard this in the context of the detection of forces with tuning fork sensors here .
Could you given me an intuitive explanation as to why? The paper linked above explains it in terms of P and I constants but I wasn't able to understand it.
On page 22 (or page 30 of the pdf) here, it says the following "As explained in Refs. 54,56, a phase-locked loop (PLL) increases the bandwidth and makes scanning probe microscopy with tuning-forks possible at reasonable scan speeds."
I went to the references and from reference 54, I was able to understand that in general, without a PLL loop, high Q means a tiny bandwidth and that it takes a long time to complete a measurement round.
Reference 56 seems to explain why using a PLL loop does solve the extremely long measurement time issue but it was this explanation that I wasn't able to understand