On the characteristics of monotonic L, Halpern, and parabolic filters

Báez-López, D.; Minero-Muñoz, Marcelino; Tino-Parra, M.A.; Diaz-Olavarrieta, L.; Rodrı́guez-Asomoza, J.; Guerrero-Ojeda, L.G.

doi:10.1109/mwscas.2005.1594311

Cited by 2 publications

(2 citation statements)

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“…In Figure is shown that the proposed sum‐of‐squared Legendre filter is nearly monotonic in the passband and monotonic in the stopband. This filter is compared with Butterworth, Halpern , and Legendre–Papoulis filters. Halpern filters are closely related to Papoulis filters but optimize the shaping factor under the conditions of a monotonically decreasing passband response.…”

Section: Approximationmentioning

confidence: 99%

“…Legendre–Papoulis filter can be useful in applications that need a steep cutoff at the passband edge but cannot tolerate passband ripples, or in cases where the Chebyshev I filter produces too large group delay at the passband edge. On the other side, there are many characteristic functions, based on the orthogonal polynomials, that improve passband or group delay response of the Chebyshev I transfer function , or stopband response of the Butterworth filter, but the passband behavior of these filters is not monotonic.…”

Section: Introductionmentioning

confidence: 99%

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Nearly monotonic passband low‐pass filter design by using sum‐of‐squared Legendre polynomials

Živaljević

Stamenković

Stojanović

2015

Circuit Theory & Apps

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SUMMARY A new type of filter approximation, which utilizes orthonormal Legendre polynomials, referred to as sum‐of‐squared Legendre polynomials, is presented in this paper. Power transmission coefficient and the group delay of the proposed filter are compared with those of the Butterworth, Legendre–Papoulis, and Halpern filters. In order to illustrate the design of the proposed filter function, sum‐of‐squared Legendre polynomials coefficients and normalized element values of the low‐pass LC (inductor‐capacitor) ladder network prototype are given, up to the 10th degree. For continuous‐time domain filtering, doubly terminated LC ladder network topologies have very low sensitivities to changes of component values. In order to determine the effect of variation of all reactive components on the filter attenuation characteristic, the new sensitivity function has been proposed. Copyright © 2015 John Wiley & Sons, Ltd.

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Section: Approximationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%