一维双基线相位干涉测向公式的准确解

Abstract

摘 要：在利用径向距离与相位之间的对应关系给出相差定位方程的基础上，应用余弦定理所给出的三角方程，且仅通过简单的数学变形处理即得到了求解目标位置的线性方程组，并由所解得的目标位置获得了一维双基线相位干涉阵列的测向公式准确解。整个分析过程借助于路程差与相位差测量项的等价性，在不涉及对整周数和鉴相电路相位差值计算的情况下，实现了对准确解的验证和测量误差的分析。本文的研究为校正现有按平行入射波假定所得到的近似解的测量精度提供了理论依据。 Abstract: On the basis of the phase-differential locating equation obtained by the correspondence relationship between radial distance and phase, applying the trigonometric equation obtained by cosine law, the set of linear equation solving the target position can be obtained only by simple mathematical manipulation. Now, the location parameter of target can be solved and the accurate DF formula can be derived for the phase interference array with double baseline in one-di- mensional space. The verification for accurate solution and analysis for measuring error can be worked out by using the equivalence between path length difference and phase difference. But also, the analysis process is not related to the integer of wavelength and phase-differential measurement of discriminator. The study in this paper provides a theoretical basis for the correction of the measurement accuracy to the existing approximate solution obtained by the assumption of parallel incident wave.