Appendix B: Tables of Classical Filter Functions

Appendix B: Tables of Classical Filter Functions

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This book chapter presents the table for filter function with different filter types discussed. Ideal low-pass filter characteristics is approximated by an all-pole function. Butterworth filters table B-1 gives the polynomials for n up to 10 and a<sub>o</sub> normalized to unity. For n < 4, see Table 1-1. Chebyshev filters when the Chebyshev filter requirements call for 1/2-dB ripple, the polynomials for n up to 10 and a<sub>n</sub> normalized to unity are listed in Table B-2. For n < 4, see Table 1-3. The corresponding polynomials for 1-dB ripple are in table B-3 and for 2-dB ripple, in Table B-4. Thomson filters the Bessel polynomials for Thomson filters for n up to 10 are given in table B-5 for τ = a<sub>1</sub>/a<sub>o</sub> = 1. For n < 4, see Table 1-4. The coefficients of the elliptic filters for one zero pair and two poles, one zero pair and three poles, and two pairs of zeros and four poles are given in Tables B-6, B-7, and B-8, respectively [P1]. The parameters A1, A2, and ωs are defined in Fig. B-1. The reader is referred to many excellent tabulations for elliptic filter data [B1-B4].

Chapter Contents:

  • B.1 All-Pole Filters
  • B.2 Approximation with Poles and Zeros (Elliptic Filters)
  • References

Inspec keywords: elliptic filters; polynomial approximation; low-pass filters; Butterworth filters

Other keywords: elliptic filter data; Bessel polynomials; filter functions; Chebyshev filters; Butterworth filters; Thomson filters; low-pass filter characteristics; all-pole function; polynomial approximation

Subjects: Algebra; Filters and other networks

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