Perfect Reconstruction DFT Modulated Oversampled Filter Bank Transceivers

This paper proposes a novel method for the design of Perfect Reconstruction (PR), Discrete Fourier Transform (DFT) modulated oversampled Filter Banks (FB) for application in multi-carrier transceiver systems. The PR property is guaranteed by enforcing a paraunitary constraint on the polyphase matrix of transmit or receive sub-systems. The desired polyphase matrix is obtained via embedding of lower dimensional paraunitary building blocks, each expressed in terms of a limited set of design parameters through a factorization based on Givens rotations. These parameters are adjusted to minimize the stop-band energy of the subband filters and thus improve their spectral containment.