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Discrete-Time Shelf Filter Design for Analog Modeling

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A method for the design of discrete-time second-order shelf filters is developed which allows the response of an analog resonant shelf filter to be approximated in the digital domain. For filters whose features approach the Nyquist limit, the proposed method provides a closer approximation to the analog response than direct application of the bilinear transform. Three types of resonant shelf filter are discussed, and design examples are presented.

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