To address the high computational complexity and low combining gain of conventional multi-antenna joint reception algorithms under low-SNR(Signal-to-Noise Ratio) conditions, a time-frequency phase-difference compensation-based multi-antenna joint signal-reception and combining algorithm is proposed. Building on the Semi-Implicit Method for Pressure Linked Equations(SIMPLE) framework applied to the Cross-Ambiguity Function(CAF) and phase-difference estimation, the algorithm first performs phase-error correction and then applies weighted combining, effectively lowering the computational burden on the signal-processing hardware. Simulation and experimental results demonstrate that, for two-channel signals exhibiting time-frequency phase differences, the proposed algorithm achieves perfect post-compensation alignment, confirming its feasibility. Under practical SNRs of 7 dB and 9 dB, the measured receive gain improves by approximately 2.76 dB, and the joint reception gain reaches 92% of the theoretical maximum, delivering the high post-combining gain required and significantly enhancing the reception of extremely weak signals. The approach offers a novel solution for acquiring ultra-faint deep-space signals.