Multidimensional signal processing is an academic field and methodological approach dedicated to the theory and application of analyzing, manipulating, and synthesizing signals that vary across two or more independent dimensions. It investigates signals such as images, video, volumetric data, and other spatiotemporal or higher-dimensional arrays, employing specialized mathematical and computational techniques like multidimensional transforms, filtering, and spectral analysis to exploit inherent correlations and structures. Its significance lies in enabling the effective analysis, enhancement, compression, and interpretation of complex data encountered in diverse domains including medical imaging, remote sensing, computer vision, and geophysics.