On block-recursive logarithmic filterbanks

Filterbanks with arbitrary time-frequency plane tilings can be efficiently realized by block-recursive structures which are based on vector ARMA models. The block-recursive realization leads to some approximation errors which depend among others on the block size and the block order of the model. A group of logarithmically spaced gammatone filters is used as a target system. The dependence of the design error on the choices of different design parameters are analysed. The resuls show that by proper choices of parameters the block-recursive structures are computationally efficient and of high quality.