Leveraging Lanczos Algorithm for Computation of Eigenbasis in Type I Discrete Sine Transform

The main contribution lies in presenting an application of the Lanczos algorithm to provide an eigenbasis for a specific type of discrete Sine transform, referred to the signal processing literature as DST of type one. This method, suggesting a new approach, opens up new possiblilities for finding the eigenbasis of other discrete trigonometric transforms, which serve as the key tool in image and video compression.