Output reconstruction in an OFB with instantaneous erasure using parity-check matrix

This paper introduces a new method based on parity-check matrix for reconstructing the output of an Oversampled Filter Bank (OFB) when sub-band vectors in different time instances are subject to erasures with arbitrary patterns (i.e. instantaneous erasure). Using the property of parity-check matrix, in this method, the erased samples of the sub-band vectors are recovered in the sub-band domain and then they are fed to the synthesis filters for output perfect reconstruction. In particular, we provide the theoretical sufficient conditions on OFB structure in order for this approach to be applicable for (maximum) erasure recovery. Furthermore, we modify the proposed reconstruction method in the presence of quantization noise and suggest an approach based on consistent reconstruction. We will also provide simulation results to evaluate the performance of this reconstruction method.