Oversampled lapped transforms via time-domain pre- and post-processing

This paper introduces a large family of oversampled lapped transforms with symmetric basis functions. These new transforms are implemented by adding time-domain oversampled pre- and post- filters to the DCT and the IDCT, respectively. Structures and parameterizations of the corresponding pre-/postfilters are proposed. Two design examples along with some image coding results are presented to demonstrate the validity of the theory and the potential of the new transforms.