delay and doppler shift measurements on different pulse-repetition frequencies
theory of linear system equations with ambiguous free terms
Ambiguous delay and Doppler shift measurements on different pulse-repetition frequencies in pulse-doppler radars is realized for determination of connected parameters – range and its derivatives. These measurements always are accomplished in series on some time interval. Delay and Doppler shift may differ on that interval. But in known processing methods of such measurements the connection and change of mentioned parameters is not take into account. This is consequence of restrictions in mathematical basis of ambiguity resolution methods used at present time in pulse-doppler radars. These methods consider estimating only scalar parameter (delay, or Doppler shift). Joint delay and Doppler shift measurements ambiguity resolution lead to vector parameter ambiguity resolution task or in other words to solution of linear system equations with ambiguous free terms.
It is consider in the paper the application of common linear system equations with ambiguous free terms theory for joint range and range rate measurement ambiguity resolution. Delay change is approximated at the measuring time by first and second power polynomial and the polynomial coefficients are estimated. That joint estimation allow to carry out combined estimation of range and range rate as well as realize range acceleration estimation by ambiguous delay and Doppler shift measurements processing. It is gives concrete examples of high computing effectiveness suggested algorithm suggested algorithm.