Design for optimum classical filters

Corral, C.A.; Lindquist, C.S.

doi:10.1049/ip-cds:20020500

Cited by 12 publications

(4 citation statements)

References 16 publications

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“…Therefore, the inverse ultraspherical filter can meet identical requirements as the ultraspherical filter but maintain the monotonic passband. A filter's magnitude response may be optimized with respect to the requirements by the process described in [21]. For the ultraspherical and inverse ultraspherical filters, the degrees of freedom are passband ripple 1 and selectivity parameter α.…”

Section: Other Propertiesmentioning

confidence: 99%

Inverse Ultraspherical Filters

Corral¹

2005

Analog Integr Circ Sig Process

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The inverse ultraspherical filter is derived and its properties analyzed. It is shown that the inverse ultraspherical filter has smaller transition band than the inverse Chebyshev filter under certain circumstances while still maintaining the maximally flat passband characteristic. Filter pole and zero calculations are described and typical magnitude and delay responses generated. Nomographs of inverse ultraspherical filters are also provided for determining filter order and for possible magnitude response optimization.

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Section: Other Propertiesmentioning

confidence: 99%

Inverse Ultraspherical Filters

Corral¹

2005

Analog Integr Circ Sig Process

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“…In fact, the process of the selection of a suitable approximation in active analog low-frequency (up to hundreds of megahertz) filters, regardless of its importance, is often limited to the selection of the most typical choice (i.e., Butterworth approximation). Some papers [4][5][6][7][8] have focused on the comparison of multiple approximations in accordance with the above-mentioned criteria in search for the optimal filter design for an intended solution. It is a well-known fact that better characteristics of the magnitude response (the high steepness of the transition between the pass-band and stop-band area) lead to the worse characteristics in the case of the time (the overshoot of the step response) and phase (linearity of the phase response and flatness of the group delay) responses and vice versa.…”

Section: Introductionmentioning

confidence: 99%

Various-Order Low-Pass Filter with the Electronic Change of Its Approximation

Langhammer,

Sotner,

Theumer

2023

Sensors

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The design of a low-pass-frequency filter with the electronic change of the approximation characteristics of resulting responses is presented. The filter also offers the reconnection-less reconfiguration of the order (1st-, 2nd-, 3rd- and 4th-order functions are available). Furthermore, the filter offers the electronic control of the cut-off frequency of the output response. The feature of the electronic change in the approximation characteristics is investigated for the Butterworth, Bessel, Elliptic, Chebyshev and Inverse Chebyshev approximations. The design is verified by PSpice simulations and experimental measurements. The results are also supported by the transient domain response (response to the square waveform), comparison of the group delay, sensitivity analysis and implementation feasibility based on given approximation. The benefit of the proposed electronic change in the approximation characteristics feature (in general signal processing or for sensors in particular) is presented and discussed for an exemplary scenario.

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“…Conversely, reducing selectivity improves delay and reduces time-domain distortion [7]. Reducing passband ripple not only reduces delay ripple but also selectivity and, hence, delay peaking [8]. Ultimately, however, the resulting transitional filter is based on modified parameters of a classical polynomial and not the combination of different approximations.…”

Section: Introductionmentioning

confidence: 99%