Fast Fourier Cosine Transform Method for Phase Unwrapping

Fast Fourier Cosine Transform (FFCT) is a commonly used signal processing technique designed to convert time-domain signals into frequency-domain signals. In signal processing applications, phase unwrapping is often required to transform wrapped phase angles into continuous functions for improved data analysis. This technique finds wide applications in communications, image processing, audio processing, and related fields. Recent research has introduced a novel method utilizing FFCT for phase unwrapping operations. This approach demonstrates significant advantages in computational efficiency and accuracy, showing excellent performance in practical implementations. The algorithm typically involves applying FFCT to the wrapped phase data, processing the transformed signal in the frequency domain, and then performing an inverse transform to obtain the unwrapped phase. Key implementation aspects include proper handling of boundary conditions and optimization of transform parameters to minimize phase discontinuities. The method can be implemented using mathematical libraries that support cosine transforms, with careful consideration of sampling rates and signal windowing techniques to ensure accurate phase reconstruction.