Perfect Phase and Amplitude Calculation with MATLAB

This article presents MATLAB-based functions capable of precisely calculating phase and amplitude, designed to serve as standard reference functions. The implementation employs sophisticated signal processing algorithms, utilizing built-in functions like fft for frequency domain transformation and angle/abs for direct phase/amplitude extraction. These methods prove invaluable across multiple applications. In audio processing, for instance, the technique enables detailed analysis and modification of phase and amplitude characteristics to enhance sound quality and reduce noise through spectral manipulation. For image processing applications, the functions facilitate Fourier-based analysis of spatial frequencies, allowing adjustments to phase and amplitude components to improve image sharpness and contrast. Furthermore, these standardized functions find significant utility in signal processing and communications engineering, providing engineers with reliable tools for signal transmission optimization through precise spectral component analysis. The code architecture ensures numerical stability with proper handling of edge cases and complex-valued signals.