  When measuring a time-varying phase, the standard quantum limit and
Heisenberg limit as usually defined, for a constant phase, do not apply. If the
phase has Gaussian statistics and a power-law spectrum $1/|\omega|^p$ with
$p>1$, then the generalized standard quantum limit and Heisenberg limit have
recently been found to have scalings of $1/{\cal N}^{(p-1)/p}$ and $1/{\cal
N}^{2(p-1)/(p+1)}$, respectively, where ${\cal N}$ is the mean photon flux. We
show that this Heisenberg scaling can be achieved via adaptive measurements on
squeezed states. We predict the experimental parameters analytically, and test
them with numerical simulations. Previous work had considered the special case
of $p=2$.
