Phase Noise Correction via Polynomial Superposition Function

The patent changes the mathematical parameters from simple linear interpolation to a polynomial-based phase noise superposition function with multiple coefficients. By fitting the phase error using a function model with adjustable parameters (coefficients a1, a2, a3...), the system achieves higher precision in phase noise correction while maintaining reasonable computational complexity through systematic parameter optimization.

The patent introduces a phase noise superposition function as an intermediary mathematical model between the raw phase error measurements and the corrected phase noise. This function model acts as a mediator that transforms the correction process from direct linear interpolation to a more sophisticated polynomial fitting approach, improving accuracy without requiring complete redesign of the correction architecture.

The patent segments the signal processing into distinct functional modules: pilot signal insertion module, phase error extraction module, polynomial fitting module, and correction application module. By dividing the complex processing task into separate stages, each handling a specific function, the system achieves high measurement precision through systematic processing while managing overall complexity through modular architecture.

The patent performs preliminary actions by pre-inserting pilot signals with known characteristics into the transmission signal before modulation. These pilot signals serve as reference markers that enable subsequent precise measurement of phase deviations. By preparing the measurement infrastructure in advance through pilot signal superposition, the system achieves high accuracy without requiring complex real-time processing during the critical correction phase.