A Modified Anti-Jamming Method Using Dual-Polarized Ellipsoid Minimum Variance Distortionless Response to Predict the Coverage Ratio of Global Positioning System Signal

Abstract

The dual-polarized array is considered as one of the key anti-jamming techniques due to twice counts of the jamming signals suppressed relative to a monopolar array. This paper proposes an adaptive anti-jamming dual-polarized ellipsoid minimum variance distortionless response (EMVDR) method to evaluate the carrier-to-noise ratio (<inline-formula> <tex-math notation="LaTeX">${C}$ </tex-math></inline-formula> a/<inline-formula> <tex-math notation="LaTeX">${N}_{{0}}$ </tex-math></inline-formula>) for global positioning system (GPS) coverage. Firstly in GPS L1 band, the dual-polarized gains obtained by controlled reception pattern antenna (CRPA) array are investigated as the signal model of GPS coverage evaluation. Secondly, a novel EMVDR method based the Hermitian tridiagonal loading technique is proposed to obtain the smooth anti-jamming weight matrix, which is against the system error by using the highpass filtering performance of Hermitian tridiagonal matrix. Finally, <inline-formula> <tex-math notation="LaTeX">${C}\text{a}/{N}_{{0}}$ </tex-math></inline-formula> based the proposed EMVDR is used to evaluate the coverage percentage of the GPS signal, namely <inline-formula> <tex-math notation="LaTeX">${C}\text{a}/{N}_{{0}}$ </tex-math></inline-formula> needs to be beyond a threshold of <inline-formula> <tex-math notation="LaTeX">$28~\text {dB}\cdot \text {Hz}$ </tex-math></inline-formula> by recovering GPS signal. Through many Monte Carlo simulations, the results indicate that the anti-jamming performance of proposed EMVDR method outperforms the classic minimum variance distortionless response (MVDR) based the space adaptive processing (SAP) and the space time adaptive processing (STAP), and the GPS coverage ratio can keep from 60&#x0025; to 70&#x0025; until degrees of freedom (DOFs) are exhausted to zero.