F. Gini et R. Reggiannini, On the use of Cramer-Rao-like bounds in the presence of random nuisance parameters, IEEE COMMUN, 48(12), 2000, pp. 2120-2126
In this paper, we focus on the use of Cramer-Rao-like bounds for the estima
tion of a deterministic parameter in the presence of random nuisance parame
ters. As a working example, me consider the problem of estimating the carri
er frequency offset affecting a linearly modulated waveform received throug
h a Rician fading channel. We calculate the relevant Cramer-Rao bound (CRB)
and also a set of Cramer-Rao-like bounds recently proposed in the literatu
re, among which we mention the hybrid CRB, the modified CRB and the Miller-
Chang bound. An extension of the latter bound is also provided. The relativ
e merits of these bounds are discussed, both in terms of their tightness an
d ease of calculation. A few useful inequalities involving the above bounds
are also established