New Approach to Radar Waveform Design; Final rept. 15 Sep 2003-14 Sep 2006

摘要

We have extended Wilcox's classical result to address an issue of acceptable approximation of the 'ideal' ambiguity surface in the area of interest. We have considered a problem of constructing a waveform with minimal volume under the ambiguity surface in a certain given area. In case when the region of interest is a circle centered at the origin, we have proven that Hermite waveform is a solution to such optimization problem. We have developed software for numerical implementations for various choices of areas where ambiguity surface desired to be small. We have also considered frequency stepping design, which is one of the known techniques employed by modern radars to achieve high range resolution. We have developed an approach which allows us to suppress grating lobes below a desired threshold level in the case of appropriately chosen stepped frequency waveforms. We have introduced a multi- parametric generalization of a stepped frequency train, and by exploiting a factorization of the autocorrelation function, achieved a useful trade-off between competing properties of the factors by careful choices of relevant parameters.