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The improvement in noise and sensitivity comes free of charge, in that it requires simply the selection of appropriate component values. The relationship between the low sensitivity and low output noise, that are the most important performance of active-RC filters, is investigated, and optimum designs that reduce both performances are presented.Ī considerable improvement in sensitivity of single-amplifier active-RC allpole filters to passive circuit components is achieved using the design technique called 'impedance tapering' ( Moschytz, 1999), and as shown in ( Jurisic et al., 2010 a)at the same time they will have low output thermal noise.
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The optimum designs, regarding both performances of most useful filter sections are summarized (as a cookbook programmed in Matlab) and demonstrated on examples.
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The design procedure of low-noise and low-sensitivity, positive- and negative-feedback, second- and third-order low-pass (LP), high-pass (HP) and band-pass (BP) allpole filters, using impedance tapering, is presented. It was found that low-sensitivity filters with minimum noise have reduced resistance levels, low Q-factors, low-noise operational amplifiers (opamps) and use impedance tapering design. The classical methods were used to determine output noise of the filters. It is shown that active-RC filters can be designed to have low sensitivity to passive components and at the same time possess low output thermal noise. Thus, using Matlab a comparison of different design strategies of active-RC filters is done. Transfer function coefficients calculations, as well as plotting of amplitude-frequency and phase-frequency characteristics (Bode plots) have been performed using Matlab. The application of Matlab, combining its symbolic and numeric calculation capabilities, to calculate noise and sensitivity properties of allpole active-RC filters is shown.