A design method for oversampled paraunitary DFT filter banks using householder factorization

We propose a design method for oversampled FIR DFT filter banks which have the paraunitary property, where the number of channel M is the multiple of decimation ratio D and the filter length is the multiple of M. Our proposed method is based on Householder factorization, which can keep the perfect reconstruction condition and the paraunitary property of filter banks in optimization process. In addition, we examine the linear phase property for oversampled DFT filter banks, and the design method of oversampled linear phase DFT filter banks. In order to show the effectiveness of our method, we give some design examples.