New periodograms for single-tone frequency estimation in the presence of an additive polynomial background signal

We consider the estimation of frequency for a sinusoidal signal contaminated by an additive polynomial background signal and additive white Gaussian noise. We introduce new periodograms PM(f)PM(f) that are designed to be insensitive to the presence of any polynomial background signal of degree less than or equal to M  . The periodograms PMPM allow frequency to be estimated efficiently and accurately. The frequency estimate f^ is given by f^=argmax0