Approximation and Inversion of a Complex Meteorological System via Local Linear Filters

Approximation and inversion of a complex meteorological system via local linear filters

Dynamical models involving systems of numerous differential equations are commonly used to describe meteorological behavior. Approximations to such systems are often desired, particularly for inversion problems when the model’s adjoint is unavailable. A method for approximating a general, nonlinear system is explored here. The method is particularly useful for inverse problems. An application t...

Conservative chaotic flow generated via a pseudo-linear system

Analysis of nonlinear autonomous systems has been a popular field of study in recent decades. As an interesting nonlinear behavior, chaotic dynamics has been intensively investigated since Lorenz discovered the first physical evidence of chaos in his famous equations. Although many chaotic systems have been ever reported in the literature, a systematic and qualitative approach for chaos generat...

on the effect of linear & non-linear texts on students comprehension and recalling

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Design Algorithms for Doppler MTI and Filters (Using Chebyshev Approximation)

Recursive Synthesis of Linear Time-Variant Digital Filters via Chebyshev Approximation

Ahstracr -The present paper investigates the recursive realization of a rational generalized transfer function (GTF) as a linear time-variant (LTV) difference equation. We develop a relationship between a GTF and a time-variant difference equation. The unique realizability of a GTF as a LTV difference equation is discussed. Procedures for determining a timevariant difference equation from a giv...