Signal detection of known (within a complex scaling) rank one waveforms in
non-Gaussian distributed clutter has recently received considerable attenti
on.)Ve expand on published solutions to consider the case of rank one wavef
orms that have some unknown parameters, i.e., signal amplitude, initial pha
se, Doppler shift, and Doppler rate of change. The contribution of this pap
er is the derivation and performance analysis of two joint estimators of Do
ppler shift and Doppler rate-the chirp parameters-for a signal with fluctua
ting random amplitude embedded in correlated compound-Gaussian clutter, One
solution is based on the maximum likelihood (ML) principle and the other o
ne on target signal second-order cyclostationarity, The hybrid Cramer-Rao l
ower bounds (HCRLB's and a large sample closed-form expression for the mean
square estimation error (only for the Doppler shift) are also derived. Num
erical examples are provided to show the behavior of the proposed estimator
under different non-Gaussian clutter scenarios.