This invention discloses a GNSS
noise identification method and
system based on Riemannian manifold evolution and neural operators, belonging to the field of high-precision
data processing for
satellite navigation. The method first reconstructs the
phase space of the GNSS coordinate sequence, using a manifold
encoder to map it to the latent space of the Riemannian manifold to obtain the metric
tensor. Second, it constructs a continuously evolving
vector field controlled by a neural constant
differential operator, and generates the eigenphysical evolution ideal trajectory through spatiotemporal integration. Subsequently, it introduces the
Lie derivative operator to calculate the geometric deviation rate of the observation field along the ideal field evolution to strip away the physical
signal, outputting a high-purity
random noise manifold. Finally, it uses a Fourier neural operator to extract
frequency domain features, fits the power
spectral density, inputs a fully parameterized
characteristic equation to calculate the significance coefficients, and dynamically outputs the optimal combined
noise model. This invention overcomes the shortcomings of traditional methods that are sensitive to discrete sampling and
missing data, achieving high-precision geometric decoupling of physical signals and
random noise, and
adaptive identification of complex
noise.