NDLI: Realization of 3-D Separable-Denominator Digital Filters With Low <formula formulatype=inline><tex Notation=TeX>$l

Content Provider	IEEE Xplore Digital Library
Author	Hinamoto, T. Doi, A. Wu-Sheng Lu
Copyright Year	1991
Abstract	Three-dimensional (3-D) digital filters find applications in a variety of image and video signal processing problems. This paper presents a coefficient-sensitivity analysis for a wide class of 3-D digital filters with separable denominators in local state space that leads to an analytic formulation for sensitivity minimization, and to present two solution techniques for the sensitivity minimization problem at hand. To this end, a vector-matrix-vector decomposition of a given 3-D transfer function that separates the three variables and leads to a state-space realization in a form convenient for subsequent analysis. An l₂-sensitivity analysis is then performed. The result is a computationally tractable formula of the overall l₂-sensitivity for 3-D digital filters. The l₂-sensitivity is minimized subject to l₂-scaling constraints by using one of the two solution methods proposed-one relaxes the constraints into a single trace constraint and solves the relaxed problem with an effective matrix iteration scheme; while the other converts the contained optimization problem at hand into an unconstrained problem and solves it using a quasi-Newton algorithm. A case study is presented to illustrate the validity and effectiveness of the proposed techniques.
Sponsorship	IEEE Signal Processing Society
Starting Page	6282
Ending Page	6293
Page Count	12
File Size	4953205
File Format	PDF
ISSN	1053587X
Volume Number	60
Issue Number	12
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2012-12-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Three dimensional displays Vectors Transfer functions Minimization State-space methods Optimization Time domain analysis 3-D separable-denominator digital filters Bisection method $l_2$-scaling constraints $l_2$ -sensitivity analysis low $l_2$-sensitivity minimal state-space realization no overflow oscillations Lagrange function quasi-Newton method
Content Type	Text
Resource Type	Article
Subject	Signal Processing Electrical and Electronic Engineering

Sl.	Authority	Responsibilities	Communication Details
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
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

Minimization of Frequency-Weighted $l_{2}$ -Sensitivity Subject to $l_{2}$ -Scaling Constraints for Two-Dimensional State-Space Digital Filters

Jointly Optimal High-Order Error Feedback and Realization for Roundoff Noise Minimization in 1-D and 2-D State-Space Digital Filters

Minimization of Weighted Pole and Zero Sensitivity for State-Space Digital Filters

L/sub 2/-sensitivity analysis and minimization of 2-D separable-denominator state-space digital filters

Optimal Synthesis of State-Estimate Feedback Controllers With Minimum $l_{2}$-Sensitivity

Minimization of L/sub 2/-sensitivity for state-space digital filters subject to L/sub 2/-dynamic-range scaling constraints

Roundoff Noise Minimization for 2-D State-Space Digital Filters Using Joint Optimization of Error Feedback and Realization

L/sub 2/-sensitivity minimization of one- and two-dimensional state-space digital filters subject to L/sub 2/-scaling constraints

Separate/joint optimization of error feedback and realization for roundoff noise minimization in a class of 2-D state-space digital filters

Realization of 3-D Separable-Denominator Digital Filters With Low $l_2$ -Sensitivity

Similar Documents

Minimization of Frequency-Weighted $l_{2}$ -Sensitivity Subject to $l_{2}$ -Scaling Constraints for Two-Dimensional State-Space Digital Filters

Jointly Optimal High-Order Error Feedback and Realization for Roundoff Noise Minimization in 1-D and 2-D State-Space Digital Filters

Minimization of Weighted Pole and Zero Sensitivity for State-Space Digital Filters

L/sub 2/-sensitivity analysis and minimization of 2-D separable-denominator state-space digital filters

Optimal Synthesis of State-Estimate Feedback Controllers With Minimum $l_{2}$-Sensitivity

Minimization of L/sub 2/-sensitivity for state-space digital filters subject to L/sub 2/-dynamic-range scaling constraints

Roundoff Noise Minimization for 2-D State-Space Digital Filters Using Joint Optimization of Error Feedback and Realization

L/sub 2/-sensitivity minimization of one- and two-dimensional state-space digital filters subject to L/sub 2/-scaling constraints

Separate/joint optimization of error feedback and realization for roundoff noise minimization in a class of 2-D state-space digital filters

Realization of 3-D Separable-Denominator Digital Filters With Low $l_2$ -Sensitivity