NDLI: On the Computation of Correlation Sequences in 3-D Recursive Digital Filters

Content Provider	Springer Nature Link
Author	Hwang, Chyi Guo, Tong Yi
Copyright Year	2002
Abstract	In this paper we are concerned with the computation of correlation sequences and complex integrals arising in Three-dimensional (3-D) recursive digital filtering applications. In particular, we focus on presenting a reliable and accurate method for evaluating triple complex integrals having a rational-form integrand. The basic idea is to reduce the triple complex integral into a double complex integral. The main computational tasks involved in the method includes the product-to-sum decomposition of the rational-form integrand, the integration of a definite integral, and the finding of inside-unit-circle (IUC) roots of 1-D polynomials. The proposed method of evaluating multiple complex integrals has its great applications in the design of optimal 3-D nonseparable-denominator recursive digital filters with minimum sensitivity and/or roundoff error. To demonstrate the effectiveness of the presented method, two numerical examples are given.
Starting Page	385
Ending Page	405
Page Count	21
File Format	PDF
ISSN	09236082
Journal	Multidimensional Systems and Signal Processing
Volume Number	13
Issue Number	4
e-ISSN	15730824
Language	English
Publisher	Kluwer Academic Publishers
Publisher Date	2002-01-01
Publisher Place	Boston
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Artificial Intelligence (incl. Robotics) Electronic and Computer Engineering Signal, Image and Speech Processing
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Artificial Intelligence Signal Processing Information Systems Computer Science Applications Software Hardware and Architecture

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