Selective filters using least-mean-square approximation technique

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Selective filters using least-mean-square approximation technique

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© The Institution of Electrical Engineers
Published

A new clan of all-pole lowpass filters having a flat magnitude characteristic at the origin and at a frequency ω0 in the pass-band is presented. The remaining degree of freedom is used to minimise the characteristic function over the passband using least-mean-square norm. It is shown that the magnitude characteristic of new filters is superior to those for the Butterworth and transitional Butterworth-Cheby̅shev filters, both in the passband and in the stopband.

Inspec keywords: low-pass filters

Other keywords: characteristic function; all pole low pass filters; least mean square approximation technique; flat magnitude characteristic

Subjects: Filters and other networks

References

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      • A. Budak , P. Aronhime . Transitional Butterworth-Cheby̅shev filters. IEEE Trans. , 413 - 415
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      • G.C. Temes , D.A. Calahan . Computer-aided network optimization: The state of the art. Proc. IEEE , 1832 - 1863
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      • S.C. Dutta Roy , P. Varanasi . Transitional Butterworth-Cheby̅shev filters. Electron. Lett. , 179 - 180
    4. 4)
      • V. Jovanović , D. Rabrenović . Lowpass-filter flat magnitude characteristic with sharp cutoff. Electron. Lett.
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      • B.D. Rakovich , M.V. Popovich . Modified Butterworth filters. Int. J. Electron. , 435 - 444
    6. 6)
      • B.D. Rakovich . Using least-mean-square-approximation technique in filter design. Int. J. Circuit Theory & Appl. , 171 - 179
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