COMPUTABLE REAL LATTICE STRUCTURES FOR COCHLEA-LIKE DIGITAL-FILTERS

A synthesis algorithm for a pipelined lattice implementation of cochle a-like digital filters is presented, based upon the properties of real , lossless lattice synthesis of ARMA fitters. The algorithm operates o n a simplified characterization of elementary lattice sections of degr ee one or degree two. This leads to a structure that is recursively de signed and for which each lattice is precisely implemented by a pair o f complex conjugate transmission zeros via Richard's function extracti ons. Except for zeros of transmission on the unit circle, all other ty pes and multiplicities are allowed. Necessary and sufficient condition s are derived for the degree-two lattices to guarantee computability, i.e., realizability with no delay-free loops. In addition to being sui table for VLSI realization, the structure enables a systematic cochlea assessment from the scattering ear parameters.