An over-sampling subband adaptive filter with the optimal real filter bank

The over-sampling subband ADFs are in high demand because of shortening the convergence of adaptation algorithms and being able to avoid aliasing. However, the conventional methods must use the complex coefficient filter banks, which require a lot of computation compared to the real filter banks. The aim of this correspondence is to develop a new oversampling subband ADF which does not require complex coefficient filter banks but real filter banks. The filter banks are optimized such that the mean square error can be minimized. It turns out that the proposed scheme can minimize the aliasing effect due to decimation.