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A new kind of multipurpose filters which act as a differentiator in lower half of the Nyquist frequency range and as an integrator in upper half of the Nyquist frequency range, and vice-versa, are presented. These filters have infinite impulse response (IIR) and are derived using Genetic algorithm optimization technique. The phase responses of the proposed designs are almost linear over the entire...
This paper presents a new kind of multi-purpose filter which acts as a differentiator in lower half of the Nyquist frequency range and as an integrator in upper half of the Nyquist frequency range, and vice-versa. Thus, same filter can be used as a differentiator as well as an integrator in different frequency bands. The transfer functions of the proposed systems have infinite impulse response (IIR)...
New designs of recursive digital differentiator and integrator are obtained by optimizing the pole-zero locations of existing design of recursive digital differentiator over a specific Nyquist band. These obtained designs have not more than 0.37% relative errors in magnitude responses over wideband. Further, the zero-reflection approach is applied to improve the phase responses of proposed and existing...
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