Coprime Baseline Relationship Requirement for Resolving Ambiguity in Multi-Baseline Phase Interferometry Using the Chinese Remainder Theorem

The Chinese Remainder Theorem serves as a critical tool for resolving phase ambiguities in multi-baseline phase interferometry systems. Prior to applying this theorem, it is essential to ensure that baseline relationships are coprime, as this condition guarantees the uniqueness of the solution. From an implementation perspective, this involves verifying that the greatest common divisor (GCD) of all baseline pairs equals 1, which can be programmatically checked using Euclidean algorithm-based functions. Additional considerations during implementation include selecting appropriate modulus values and avoiding division-related computational errors. In practice, developers should implement modulus selection algorithms that optimize the solution space while maintaining numerical stability. Therefore, proficient mastery of the Chinese Remainder Theorem and its computational implementation is crucial for achieving precise measurements and effective data processing in multi-baseline phase interferometry systems.