Roundoff noise minimization for 2-D state-space digital filters using joint optimization of error feedback and realization (2006)

Content Provider	CiteSeerX
Author	Hinamoto, Takao Ohnishi, Hiroaki Lu, Wu-Sheng
Abstract	Abstract — The joint optimization problem of error feedback and realization for two-dimensional (2-D) state-space digital filters to minimize the effects of roundoff noise at the filter output subject to L2-norm dynamic-range scaling constraints is investigated. It is shown that the problem can be converted into an unconstrained optimization problem by using linear-algebraic techniques. The unconstrained optimization problem at hand is then solved iteratively by applying an efficient quasi-Newton algorithm with closed-form formulas for key gradient evaluation. Analytical details are given as to how the proposed technique can be applied to the cases where the error-feedback matrix is a general, block-diagonal, diagonal, or block-scalar matrix. A case study is presented to illustrate the utility of the proposed technique. Index Terms — 2-D digital filters, roundoff noise minimization, joint optimization, error feedback, state-space realization, L2scaling constraints. I.
File Format	PDF
Journal	IEEE Trans. Signal Processing
Language	English
Publisher Date	2006-01-01
Access Restriction	Open
Subject Keyword	Error Feedback Joint Optimization Roundoff Noise Minimization 2-d State-space Digital Filter Unconstrained Optimization Problem Analytical Detail State-space Realization State-space Digital Filter Key Gradient Evaluation Case Study Block-scalar Matrix Joint Optimization Problem L2-norm Dynamic-range Scaling Constraint Linear-algebraic Technique Efficient Quasi-newton Algorithm Error-feedback Matrix Index Term 2-d Digital Filter Closed-form Formula Filter Output Roundoff Noise
Content Type	Text
Resource Type	Article