Reconstruction of signals after filtering and sampling rate reduction

Abstract

A wave digital filter (WDF) two-port has two input and two output-terminals. By using these to appropriately connect a WDF to its transpose, the filtering effect is fully compensated except for an all-pass phase, and this independently of any selectivity requirement. This remains true if at the points of interconnection, every second sample is reduced to zero, provided that a certain condition, easily to be satisfied exactly, is fulfilled. Very efficient solutions are then possible. The method is of interest, e.g., for subband coding.