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Bounds on Error in Signal Parameter Estimation

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2 Author(s)
Bellini, S. ; Istituto di Elettrotecnica ed Elettronica, Politecnico di Milano, Italy ; Tartara, G.

In this correspondence, the problem of lower bounds on mean-square error in parameter estimation is considered. Lower bounds on mean-square error can be used, for instance, to bound the performances, namely the attainable output signal-to-noise ratio, of pulse modulation transmission systems, such as pulse-position modulation (PPM) or pulse-frequency modulation (PFM). The tightest lower bounds to mean-square error previously known are the Ziv-Zakai bounds; the analysis carried out in this paper, which is based on an inequality first obtained by Kotel'nikov, leads to lower bounds tighter than previously known bounds.

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Communications, IEEE Transactions on  (Volume:22 ,  Issue: 3 )