Digital spectral analysis: with applications
Digital spectral analysis: with applications
The Maple handbook: Maple V Release 4
The Maple handbook: Maple V Release 4
Variance and Covariance Computations for 2-D ARMA Processes
Multidimensional Systems and Signal Processing
Digital Control and Estimation: A Unified Approach
Digital Control and Estimation: A Unified Approach
Multidimensional Digital Signal Processing
Multidimensional Digital Signal Processing
| Hi-index | 0.00 |
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.