アナログフィルタの合成特性 : ?.ベッセルフィルタ

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概要

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• The“combined”characteristics of the Bessel analog filters is investigated, where the combined characteristics implies the feature of the filters that represents how accurately the original signal will be reproduced when it is first divided by the low pass filter (LPF) and high pass filter (HPF), then those signals are summed after passing through these filters. It has been found that, in the gain-frequency characteristics of the combined filters (LP+HP), the Bessel filters of order N = ４ to １１, and ２１ to ３０ have rather flat combined gain-characteristics, while those of N =２, ３, and １２ to ２０, in the range of N ≦３０ calculated, show dips greater than a few dB, at the cross-over angular frequency ω = １ (renormalized with an half-power angular frequency ω ０ ). This is in contrast with the Butterworth filters previousely investigated: Butterworth filters of odd order have the perfect gain characteristics, namely, │G LPF ( jω ) +G HPF ( jω )│ =１. The group delay characteristics ( τ d) of the Bessel combined filters is better than that of the Butterworth filters. The impulse response of the Bessel low pass filters shows only a simple peak near the corresponding delay time τd , and those of the high pass filters consist of a delta function at t =0 and a slowly varing decay curve (represented by the 1st kind Bessel function J １ at N →∞ ). As the inpulse response of the combined Bessel filters is the sum of them , it is also simpler than that of the Butterworth filters.

• 奈良教育大学の論文

著者

• 六田 嘉明

  奈良教育大

• 六田 嘉明

  奈良教育大学技術教育講座(電気)

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