Adaptive detection of polynomial-phase signals embedded in noise using high-order ambiguity functions

The parameter estimation of polynomial-phase signals (PPS) has been extensively studied in the literature in view of possible important applications in remote sensing as well as in telecommunications. However, the detection of PPS has not received similar attention. We propose and analyze an adaptive method for the detection of PPS embedded in white Gaussian noise based on the use of the so called product high order ambiguity function.