Doppler stretch and delay Cramer-Rao lower bound for signal with large bandwidth

Abstract

In this paper Cramer-Rao lower bound of joint Doppler stretch and delay estimation for wideband signal is derived. We use wideband term to denote cases in which narrowband signal model is inappropriate. Two alternative estimation methods are considered: first method implies estimation of all unknown parameters, both desired and nuisance; second involves the averaging of likelihood function by nuisance parameter with considering its probability density. Estimation variances are equal for specified methods.

Keywords

• doppler stretch
• cramer-rao lower bound
• fisher information matrix
• unknown phase