Abstract: In aerospace telemetry, tracking, and control (TT&C) systems, the increasingly complex space electromagnetic environment threatens the reliability and effectiveness of the satellite-earth communication links. When there are multiple interference signals arriving from specific directions in the communication link, the conventional beamforming power inversion criterion fails to effectively suppress interference signals other than suppressive jamming. Focusing on smart antenna applications and anti-interference reception scenarios in TT&C ground stations, this paper proposes a multi-spatial-domain constrained power inversion criterion and a hardware-accelerated implementation scheme for adaptive filtering algorithms. In beamforming, nulling direction constraints are incorporated into the power inversion criterion to eliminate undesired signals in both power and spatial domains. In implementation, LDL decomposition is adopted to achieve low-complexity matrix inversion; while fixed-point to floating-point conversion is applied to improve computational precision. Furthermore, systolic array units are leveraged to enable highly efficient matrix operations. For verification purpose, a TT&C receiver is constructed and the overall adaptive filtering algorithm mentioned above is deployed on hardware. Experimental results demonstrate that the proposed method generates deep nulls for both in-band interference from specified directions and suppressive in-band interference from arbitrary directions, introducing no distortion to TT&C signals; the relative error of the optimal weight vector for adaptive filtering is on the order of 10⁻⁶～10⁻⁷ in magnitude.