精确的最优成功率/出错率计算在载波相位GPS/GNSS定位中实现可靠的短周期整周模糊度解算
The accurate optimal-success/error-rate calculations applied to the realizations of the reliable and short-period integer ambiguity resolution in carrier-phase GPS/GNSS positioning
摘要：
利用并界近似和MonteCarlo积分，严格地计算了整数格点上多元高斯误差分布下统计决策的最大后验边缘成功率.应用这些计算揭示了GPS/GNSS精密载波相位相对定位中可靠的短周期整周模糊度解算的各种可能实现方式。本文系统地阐述了并束缚近似的理论基础和有效方法，提出并检验了两种加强并束缚近似的方法。结果表明，在精确的载波相位测量和大量可见卫星的条件下，该方法具有极高的可靠性;由于探测器和参考接收机之间的基线长度不为零，电离层延迟量略有差异，从而导致可靠性严重下降;成功的整周模糊度的初始化，有效地克服了不利条件的非零基线长度由于合理假设的时间和空间恒定的差分电离层延迟。
英文摘要：
The maximum-marginal-a-posteriori success rate of statistical decision under multivariate Gaussian error distribution on an integer lattice is almost rigorously calculated by using union-bound approximation and Monte Carlo integration. These calculations are applied to the revelation of the various possible realizations of the reliable and short-period integer ambiguity resolution in precise carrier-phase relative positioning by GPS/GNSS. The theoretical foundation and efficient methodology are systematically developed, and two types of the enhancement of union-bound approximation are proposed and examined. The results revealed include an extremely high reliability under the condition of accurate carrier-phase measurements and a large number of visible satellites, its heavy degradation caused by the slight amount of differentiated ionospheric delays due to the nonvanishing baseline length between rover and reference receivers, and the advantages of the use of the multiple carrier frequencies. The succeeding initialization of the integer ambiguities is shown to overcome the disadvantageous condition of the nonvanishing baseline length effectively due to the reasonably assumed temporal and spatial constancy of differentiated ionospheric delays.
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