Locally Optimal Radar Waveform Design for Detecting Doubly Spread Targets in Colored Noise

In this letter, we investigate the problem of radar signal waveform design under the small signal power conditions for detecting a doubly spread target in colored noise. The doubly spread target is range spread and its impulse response is time varying due to fluctuation (hence Doppler spread). The locally most powerful detector is derived for detecting such targets. The signal waveform is optimized to maximizing the detector\u27s detection performance or equivalently the Kullback-Leibler divergence. Numerical simulations validate the effectiveness of the proposed waveform design by comparing it with the frequency modulated (LFM) waveform