TR2017-039

Cramer-Rao Bounds for A Coupled Mixture of Polynomial Phase and Sinusoidal FM Signals

    •  Wang, P., Orlik, P.V., Sadamoto, K., Tsujita, W., Sawa, Y., "Cramer-Rao Bounds for A Coupled Mixture of Polynomial Phase and Sinusoidal FM Signals", IEEE Signal Processing Letters, DOI: 10.1109/​LSP.2017.2689761, Vol. 24, No. 6, pp. 746-750, March 2017.
      BibTeX TR2017-039 PDF
      • @article{Wang2017mar,
      • author = {{Wang, Pu and Orlik, Philip V. and Sadamoto, Kota and Tsujita, Wataru and Sawa, Yoshitsugu}},
      • title = {Cramer-Rao Bounds for A Coupled Mixture of Polynomial Phase and Sinusoidal FM Signals},
      • journal = {IEEE Signal Processing Letters},
      • year = 2017,
      • volume = 24,
      • number = 6,
      • pages = {746--750},
      • month = mar,
      • doi = {10.1109/LSP.2017.2689761},
      • issn = {1558-2361},
      • url = {https://www.merl.com/publications/TR2017-039}
      • }
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  • Research Area:

    Signal Processing

Abstract:

This paper introduces a new coupled mixture of polynomial phase signal (PPS) and sinusoidal frequency modulated (FM) signal, motivated by real-world applications, e.g., contactless linear encoders. Specifically, the coupling is introduced to express the sinusoidal FM frequency as a function of the PPSrelated parameters. Given the coupling mixture, it generalizes two existing models: 1) the pure PPS model and 2) the independent mixture model. Performance bounds of parameter estimation for the coupled mixture model are established in terms of the Cramer-Rao bound (CRB). Unlike the pure PPS case, the derived CRB shows its dependence on the PPS-related and sinusoidal FM-related parameters due to the coupling mixture. On the other hand, the derived CRBs for the PPS-related parameters are lower than their counterparts of the independent mixture model, as the sinusoidal FM frequency provides additional information on the PPS parameters.