Array-Based QR-RLS Multichannel Lattice Filtering

An array-based algorithm for multichannel lattice filtering is proposed. The filter is formed by a set of units that are adapted locally and concurrently using recursions that closely match those for single-channel lattice filters. The design, based on a known modular decomposition approach, allows for unequal filter lengths to be specified for different input channels. Individual units are updated using a square-root recursive leastsquares (RLS) algorithm in array form that relies mainly on Givens rotations and exhibits highly favorable numerical behavior and a regular structure that is appealing from a hardware implementation perspective. Iterative implementations of Givens rotations using the Newton method and CORDIC processors are examined in the context of fixed-point implementations. A procedure based on three CORDIC steps is proposed to handle complex data that arise in several applications of multichannel filtering. Algorithm initialization issues are also addressed. The array ...

• Type: Journal
• Year: 2008
• Where: TSP
• Authors: J. Gomes, V. A. N. Barroso
• Keywords: Algorithms, Multichannel Lattice, Single-channel Lattice Filters, TSP 2008