Fast quadratic phase transform for estimating the parameters of multicomponent chirp signals

We present a technique based on the quadratic phase transform (QPT) for joint phase parameter estimation of multicomponent chirp signals. The QPT has the ability to analyze chirp signals in the same way as Fourier transform analyzes sinusoidal signals. In view of its practical implementation, a discrete version of the QPT, called the discrete quadratic phase transform (DQPT), is introduced. A novel fast computational procedure of the DQPT is developed. Explicit expressions for the arithmetic operation count are derived. Simulation results are presented to illustrate the usefulness of the DQPT. (C) 1997 Academic Press.