I. Introduction
Unlike the classical target detection and tracking approaches [1] which declare target and update tracks for each single frame, the batch multi-frame detection (MFD) methods [2]–[4] can achieve superior performance by integrating target energy over several consecutive frames, especially for dim or fluctuating targets. This enhancement benefits from the difference of space-time correlation between the target and noise (or clutter). For dynamic targets to be detected, such integrating process along unknown target trajectory can be accomplished by resorting to some Track-Before-Detect (TB-D) techniques. It is worth mentioning that, since the MFD implicitly merges the tracking stage (may be rough or simple) during the integrating procedure, once a target is declared, the corresponding integrating path is simultaneously returned serving as the estimation of the target trajectory. In recent years, the efficiency and robustness of MFD have been widely demonstrated [5]–[10], and its extension to some real scenarios application have been researched in [11]–[17] as well.