Kautz filter

In signal processing, the Kautz filter, named after William H. Kautz, is a fixed-pole traversal filter, published in 1954. In signal processing, the Kautz filter, named after William H. Kautz, is a fixed-pole traversal filter, published in 1954. Like Laguerre filters, Kautz filters can be implemented using a cascade of all-pass filters, with a one-pole lowpass filter at each tap between the all-pass sections. Given a set of real poles { − α 1 , − α 2 , … , − α n } {displaystyle {-alpha _{1},-alpha _{2},ldots ,-alpha _{n}}} , the Laplace transform of the Kautz orthonormal basis is defined as the product of a one-pole lowpass factor with an increasing-order allpass factor: