A novel generalized time-frequency transform inspired by the Fractional Fourier Transform for higher order chirps

In this manuscript, we propose a class of linear integral transforms that extends the capabilities of the Fractional Fourier Transform (FrFT), while preserving some key properties of the FrFT. The FrFT has diverse applications in literature, including the parameter estimation of linear chirp signals. Here, we also illustrate ways to employ the proposed new transforms to estimate higher order chirps, such as quadratic chirp signals.