Oversampled DFT filter banks for error correction coding

In this paper we present a new approach to design parity-check polynomial matrices for oversampled DFT filter banks, which operate in the frequency domain and exploit the efficient polyphase structure of the filter bank. When compared to general filter banks, the design ease is significantly improved due to a reduced number of parameters, the numerical robustness of the parity check polynomial design increases, and an improved localization of errors in the observed syndromes is obtained. We apply our design to the detection of impulse errors in Gaussian background noise and evaluate the performance with respect to filter bank parameters and statistical information on the transmission channel.