Target-matched Illumination

The receiver is characterized by its impulse response h,R(t). The problem is then to choose s(t) and /i (f) to maximise the signal-to-interference ratio, which can be expressed in mathematical terms as follows  

At this stage, the problem is to maximise SNIR at the instant of detection to over the input signal s(t) of finite energy and duration. Grouping the expressions for both whitening filter and matched filter  

The solution must satisfy a homogeneous Fredholm integral of the second kind with Hermitian kernel  

This principle can be extended to different models including signal dependent noise (clutter) [19]. In this case, one must take the non-linear term into account in the signal to interference plus noise equation  

From the above model we can derive three main cases  

---

Figure 9. Whitening of the target impulse response in target-matched illumination.

Figure 10. Target-matched illumination with signal-dependent noise (clutter).

Gjessing, D.T., Target Adaptive Matched Illumination Radar Principles and Applications, Peter Peregrinus, 1986. 

Gjessing, D.T. and Saebboe, J., Bistatic matched illumination radar involving synthetic aperture and synthetic pulse for signal to clutter enhancement and target characterization , Proc. 2001 CIE International Conference on Radar, Beijing, pp 20-24, 15-18 October 2001. 

Guerci, J.R., Optimum matched illumination-reception radar for target classification , US Patent S5381154, 1995. 

---