Instantaneous frequency estimation of quadratic and cubic FMsignals using the cross polynomial Wigner-Ville distribution

The cross polynomial Wigner-Ville distribution (X-PWVD) is applied to instantaneous frequency (IF) estimation of polynomial FM signals. The X-PWVD is used in a simple iterative algorithm, similar to the one proposed by Boashash and O'Shea (see ibid., vol.41, no.3, p.1439, 1993) for the cross Wigner-Ville distribution (X-WVD). The advantage of the X-PWVD over the polynomial Wigner-Ville distribution is that the former is linear with respect to the observed signal and as a result it attains the Cramer-Rao bound at lower signal-to-noise ratios (SNRs)