Product Cubic Phase Function Algorithm for Estimating the Instantaneous Frequency Rate of Multicomponent Two-Dimensional Chirp Signals

The problem of concern here is instantaneous frequency rate (IFR) estimation of multicomponent two-dimensional (2-D) chirp signals. First, the 2-D cubic phase function (CPF) is defined. However, when the 2-D CPF is used to dealing with multicomponent 2-D chirp signals, the spurious peaks arise due to the existing of cross term. Then the definition of 2-D product cubic phase function (PCPF) is given by multiplying the corresponding 2-D CPF slices. Using 2-D PCPF, the spurious peaks are suppressed and IFR of 2-D chirp signals under low SNR can be estimated accurately. Simulations are provided to verify the theoretical claims.