Su. Pillai et al., Optimum transmit-receiver design in the presence of signal-dependent interference and channel noise, IEEE INFO T, 46(2), 2000, pp. 577-584
Optimal detection of a target return contaminated by signal-dependent inter
ference, as well as additive channel noise, requires the design of a transm
it pulse f(t) and a receiver impulse response h(t) jointly maximizing the o
utput signal to interference plus noise ratio (SINR), Despite the highly no
nlinear nature of this problem, it has been possible to show that f(t) may
always be chosen minimum-phase. A full analysis concludes with the construc
tion of an effective numerical procedure for the determination of optimal p
airs (f, h) that appears to converge satisfactorily for most values of inpu
t SINR. Extensive simulation reveals that the shape of f(t) can be a critic
al factor. In particular, the performance of a chirp-like pulse is often un
acceptable, especially when the clutter and channel noise are low-pass domi
nant and comparable.