How can the FFT be used for estimating linear chirp parameters? Consider a linear chirp signal, i.e. $f(t) = f_0 + kt$, where $f_0$ is the starting frequency, and $k$ is the chirp rate. After applying an FFT, how would I find the starting frequency and chirp rate?
Why use an FFT for this? I think there are better simpler ways to do this. For example, you can simply measure the distance between zero crossings to get a first order estimate for frequency vs time and then refine with reconstructing the sweep and looking at the difference of the original and the reconstructed signal.