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Article

On some anisotropy-based analysis problems for linear discrete-time descriptor systems with nonzero-mean input signals

The paper presents a novel concept of anisotropy-based analysis for linear discrete-time descriptor systems with nonzero-mean input signals. Descriptor systems are a general case of normal systems. They contain both differential (difference) equations and algebraic equations. In this paper, the algorithm for mean anisotropy computation of the Gaussian stationary random sequence with nonzero mean (we suppose, the signal was generated by the shaping filter in descriptor form) is obtained. The equations for anisotropic norm computation (in the frequency domain) for descriptor systems are developed. Numerical examples are given.

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