Family of equiripple lowpass digital filters

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Family of equiripple lowpass digital filters

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© The Institution of Electrical Engineers
Published

The letter deals with the special case of general-parameter filters that yield Cheby̅shev characteristics. The solution gives a family of Cheby̅shev responses with monotonic stopband and equiripple passband characteristics. These characteristics belong to combinations of the sin (ωT/2) and tan (ωT/2) formulations and it is shown that under the condition of maximum sharpness at cutoff the tan (ωT/2) formulation is unique.

Inspec keywords: digital filters

Subjects: Filters and other networks

References

    1. 1)
      • C.M. Rader , B. Gold . Digital filter design techniques in the frequency domain. Proc. Inst. Elect. Electron. Engrs. , 149 - 171
    2. 2)
      • Constantinides, A.G.: `Synthesis of recursive digital filters from prescribed amplitude characteristics', 1968, Ph.D. thesis, University of London.
    3. 3)
      • A.G. Constantinides . Comment on recursive bandpass digital filter. Proc. Inst. Elect. Electron. Engrs. , 1604 - 1605
    4. 4)
      • A.G. Constantinides . Synthesis of Cheby̅shev digital filters. Electron. Lett. , 124 - 126
    5. 5)
      • R.K. Otnes . Recursive bandpass digital filter. Proc. Inst. Elect. Electron. Engrs. , 207 - 208
    6. 6)
      • A.G. Constantinides . Design of bandpass digital filters. Proc. Inst. Elect. Electron. Engrs. , 1229 - 1231
    7. 7)
      • Constantinides, A.G.: `Digital filters with equiripple passbands', First IEEE international symposium on circuit theory, December 1968.
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