Abstract

AbstractApproximation of analogue filters by digital filters is performed using H∞ model‐matching theory. In this approach the input signal is assumed to belong to a frequency‐weighted ball in the Lebesgue space L2 of continuous square‐integrable signals and a digital filter is designed so as to minimize the norm of the worst error between the outputs of the digital and analogue filters. An analysis of the frequency response shows that if the set of input signals is sufficiently band‐limited, the procedure corresponds to the minimization of a weighted minimax frequency response error criterion. Numerical examples show that the approach offers an efficient procedure for discretizing general multivariable systems.

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