Simultaneous Receive Multibeam Synthesis for Phased-MIMO Radar via Temporal-Spatial Filter Bank Design

Phased-multiple-input multiple-output (phased-MIMO) radar has attracted considerable interest as a hybrid architecture that integrates the coherent gain of phased array with the waveform diversity of MIMO radar. This paper develops a temporal-spatial filter bank (T-SFB) design method for simultaneous receive multibeam synthesis in phased-MIMO radar operating under quasi-orthogonal waveform transmission. First, two temporal-spatial filtering scheme are first introduced: one performs a single temporal filtering followed by multiple spatial filters for multi-beam synthesis, while the other employs direction-dependent temporal filter bank to reduce the complexity of filter bank design. Based on these architectures, we formulate a unified T-SFB optimization framework, which allows flexible control of mainlobe and notch responses subject to a prescribed signal-to-noise ratio loss. To solve the resultant non-convex optimization problem, we develop an iterative algorithm to solve the proximal problem of the original optimization, and subsequently derive sufficient conditions for its convergence. Finally, simulation results confirm the superiority of the proposed method in temporal-spatial pattern synthesis and demonstrate its significant advantage in improving multi-target search efficiency.