Noise-Based Frequency Spectrum Correction Method Using Interior Point Approach

Frequency spectrum correction of noisy real sinusoidal signals has garnered widespread attention in numerous fields. This paper proposes a spectrum correction method for noisy real signals based on the interior point (IP) approach, transforming the spectrum correction problem into an unconstrained optimization problem. By adopting a peak detection method to determine the peaks on both sides of the true spectral peak, which serve as the upper and lower bounds for the IP approach solution, precise estimates of the amplitude, frequency, and phase of the single-frequency signal are obtained, thereby achieving frequency spectrum correction. Simulation results indicate that this method exhibits lower computational cost and higher efficiency for real sinusoidal signals. Compared with other frequency spectrum correction methods, it demonstrates superior accuracy.