On the design of oversampled filter banks for channel coding

Oversampled filter banks have been considered for channel coding, because they introduce redundancy into the subband representation of signals and permit more freedom in their design than critically sampled structures. In this paper, based on the knowledge of the channel noise's covariance matrix, we propose a constrained design for the synthesis filter bank in order to minimise the noise power in the decoded signal, subject to admitting perfect reconstruction. For the special case of paraunitary filter banks, a suboptimal iterative design is presented, which highlights the potential benefits of this approach, as demonstrated by a design example.