Comparison of Wiener Filter and Power Inversion Array for GPS Anti-Jamming Applications

This article presents a comparative analysis of Wiener filtering and power inversion array techniques, examining their application environments specifically for GPS signal anti-jamming. First, let's discuss Wiener filtering. Wiener filtering is a widely used signal processing technique that effectively suppresses noise and interference in signals. It operates based on the minimum mean square error (MMSE) criterion, optimizing filter coefficients through algorithms like the Wiener-Hopf equations to minimize the error between the output signal and the desired reference signal. In practical implementation, this typically involves computing autocorrelation matrices and cross-correlation vectors, then solving for optimal filter weights using matrix inversion or adaptive algorithms like LMS (Least Mean Squares). This makes Wiener filtering particularly valuable for GPS signal processing, where signals are frequently corrupted by interference from atmospheric conditions, multipath effects from buildings, and other environmental factors.

On the other hand, power inversion array represents another important signal processing approach. Its core principle involves estimating the power spectral density of signal sources and constructing filters to suppress interference based on this spectral information. A key implementation advantage of power inversion array is that it doesn't require prior knowledge of the desired signal characteristics, making it potentially more effective than Wiener filtering in certain scenarios. The algorithm typically involves computing the covariance matrix of received signals, inverting it, and applying this inverted matrix to nullify interference directions while preserving signal integrity. However, in GPS signal processing applications, due to environmental complexity and the diversity of interference sources, power inversion array may demonstrate less consistent performance compared to Wiener filtering approaches.

Therefore, for GPS anti-jamming applications, both Wiener filtering and power inversion array techniques possess distinct advantages, limitations, and suitable operating environments. The choice between these methods should be determined by specific scenario requirements, including the availability of reference signals, computational resources, and the nature of expected interference. Practical implementation often involves testing both approaches with real GPS data sets and selecting the technique that provides optimal interference suppression while maintaining signal quality and navigation accuracy.