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A regular cross terms algorithm is derived for the parameter estimation of the multi-component polynomial phase signals in additive white Gaussian noise. The basic idea is -rst to separate its phase parameters into two sets by nonlinear proceduresand then each set has half of the parameters in its auto-terms. Furthermore, using two linear transforms to deal with the two signals respectively, the phase coe±cients of cross terms can be regulated for the identi-cation and elimination of false peaks caused by the cross terms. Simulations are presented to illustrate the performance of the proposed algorithm.

DETECTION AND ESTIMATION OF MULTI-COMPONENT POLYNOMIAL PHASE SIGNALS BY CONSTRUCTING REGULAR CROSS TERMS