I. Introduction
Surveillance and reconnaissance of targets is vitally important to both military and civil applications. A particularly challenging problem is encountered when the target is within an enclosed structure such as a building. For this problem, radar systems are employed, which attempt to image the scene behind the wall. However, this is a challenging problem due to the attenuation and dispersive effects of the wall. As the transmission pulse propagates through the wall, the target return signature is obscured. In addition, as with any radar problem, it is desirable to enhance our return signal by mitigating noise and clutter. Recently, matched illumination waveform design has been used by researchers to mitigate clutter and noise in radar systems and has recently been applied to through-the-wall radar imaging (TWRI) [1]– [6]. Deriving an optimal transmission pulse that accounts for the wall while enhancing the signal-to-interference-and-noise ratio (SINR) is needed for more successful target classification and discrimination.