MITSUBISHI ELECTRIC RESEARCH LABORATORIES http://www.merl.com Misspeciﬁed CRB Parameter Estimation for a Coupled Mixture of Polynomial Phase and Sinusoidal FM Signals Wang, P.; Koike-Akino, T.; Pajovic, M.; Orlik, P.V.; Tsujita, W.; Gini, F. TR2019-011 March 29, 2019 Abstract This paper studies parameter estimation of a coupled mixture of polynomial phase signal (PPS) and sinusoidal frequency modulated (FM) signal, a newly introduced model motivated by industrial applications. Particularly, we analytically evaluate the estimation performance (or performance loss) via the misspeciﬁed Cramer-Rao bound (CRB) when system design- ers choose existing eﬃcient estimation algorithms designed for an independent (decoupled) mixture model due to hardware limits. Our analysis provides an analytical tool to conve- niently evaluate performance loss if the implemented system ignores the coupling eﬀect. The achievability of the misspeciﬁed CRB is veriﬁed by numerical examples. IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP) This work may not be copied or reproduced in whole or in part for any commercial purpose. Permission to copy in whole or in part without payment of fee is granted for nonproﬁt educational and research purposes provided that all such whole or partial copies include the following: a notice that such copying is by permission of Mitsubishi Electric Research Laboratories, Inc.; an acknowledgment of the authors and individual contributions to the work; and all applicable portions of the copyright notice. Copying, reproduction, or republishing for any other purpose shall require a license with payment of fee to Mitsubishi Electric Research Laboratories, Inc. All rights reserved. Copyright c  Mitsubishi Electric Research Laboratories, Inc., 2019 201 Broadway, Cambridge, Massachusetts 02139