Outlier probability of generalized chirpogram for multi-component polynomial phase signals

The large errors in generalized chirpogram (GC) for polynomial phase signals (pps) is investigated. The probability of the large errors to occur is designated as the probability of an outlier. This probability is expressed in terms of the rate density function (rdf) of the local maxima in the GC as well as the semi-aliasing sidelobes which lead to ambiguity in finding the signal peaks. The uniform Poisson model of the large local maxima is used to reduce the form of the distribution of global maximum in GC to a exponential function of rdf. A numerical example of computer simulation is presented to show the accuracy of the approximations.