Analysis of SINR loss for waveform design of known-target in signal-dependent interference

Assuming the target impulse response to be known or to be a stochastic process with some PSD (Power Spectrum Density) is a basic assumption in most of the recently proposed waveform design algorithms. However, it is well-known that target impulse response is not easily and accurately obtained; besides it changes sharply with the attitude angle, both of which complicate the waveform design process. In this paper, SINR loss is analyzed which takes into account the uncertainty of the target impulse response. Results show that SINR loss fluctuates slightly with the error variance of the target impulse response which illustrates the robustness of the waveform design algorithm, as well as the fact that SINR loss is great if signal energy is small under same uncertainty of target impulse response which inspires us the necessity of optimizing waveforms under small energy constraint. Results are meaningful for waveform design methods.