A new two dimensional nonseparable modulated filter banks

Due to the low design and implementation complexity of one-dimensional modulated filter banks (MFB), it is very desirable to study their nonseparable generalization to two dimensions (2D). In this paper, we introduce a new two-dimensional (2D) nonseparable generalization of the MFB. Each analysis filter is obtained by combining two shifted copies of the prototype filter. By considering a new cosine-modulation, it is found that the filterbank can achieve perfect reconstruction and has identical structure to the 1-D modulated filter banks. Bi-orthogonal and structural PR linear-phase cascade structures can also be obtained