NDLI: Array-Based QR-RLS Multichannel Lattice Filtering

Content Provider	IEEE Xplore Digital Library
Author	Gomes, J. Barroso, V.A.N.
Copyright Year	1991
Abstract	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 least-squares (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 algorithm is compared in simulation with plain RLS, QR-RLS, and two related multichannel lattice algorithms. Its performance is shown to be comparable to that of other QR-decomposition-based algorithms under fixed-point arithmetic. In particular, it retains desirable graceful degradation properties as the numerical precision decreases.
Sponsorship	IEEE Signal Processing Society
Starting Page	3510
Ending Page	3522
Page Count	13
File Size	1009867
File Format	PDF
ISSN	1053587X
Volume Number	56
Issue Number	8
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2008-08-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Lattices Iterative algorithms Matched filters Resonance light scattering Filtering algorithms Hardware Iterative methods Newton method Fixed-point arithmetic Degradation recursive least-squares (RLS) estimation Adaptive filtering lattice algorithms multichannel filtering
Content Type	Text
Resource Type	Article
Subject	Signal Processing Electrical and Electronic Engineering

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1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

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