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Original Articles

Design of Maximally-Flat and Monotonic FIR Filters using the Bernstein Polynomial

& , FIETE
Pages 358-374 | Received 15 Apr 1988, Published online: 02 Jun 2015

REFERENCES

  • O Herrmann, On the approximation problem in nonrecursive digital filter design, IEEE Trans, vol CT-18, pp 411–413, 1971.
  • J A Miller, Maximally flat nonrecursive digital filters, Electron Lett, vol 8, pp 157–158, 1972.
  • M F Fahmy, Maximally flat nonrecursive digital filters, Int J Circuit Theory Appl. vol 4, pp 311–313, 1976.
  • J F Kaiser, Comments on maximally flat nonrecursive digital filters, Int J Circuit Theory Appl, vol 5, p 103, 1977.
  • R W Hamming, Digital Filters, Englewood Cliffs, New Jersey; Prentice-Hall, 1977.
  • J F Kaiser & W A Reed, Data smoothing using lowpass digital filters, Rev Sci Instrum, vol 48, pp 1447–1457, 1977.
  • C Gumacos, Weighting coefficients for certain maximally flat nonrecursive digital filters, IEEE Trans, vol CAS-25, pp 234–235, 1978.
  • J F Kaiser, Design subroutine (MAXFLAT) for symmetric FIR low pass digital filters, with maximally-flat pass and stop bands in Programs for Digital Signal Processing, New York; IEEE Press, pp 5.3–1–5.3–6, 1979.
  • M U A Bromba & H Zeigler, Explicit formula for filter function of maximally flat nonrecursive digital filters, Electron Lett, vol 16. pp 905–906, 1980.
  • B C Jinaga & S C Dutta Roy, Explicit formulas for the weighting coefficients of maximally flat nonrecursive digital filters. Proc IEEE, vol 72, p 1092, 1984.
  • B C Jinaga & S C Dutta Roy, Coefficients of maximally-flat nonrecursive digital filters, Signal Processing, vol 7, pp 185–189, 1984.
  • B C Jinaga & S C Dutta Roy, Explicit formula for the coefficients of maximally flat nonrecursive digital filter transfer function expressed in powers of cos w, Proc IEEE, vol 73, pp 1135–1136, 1985.
  • P Thajchayapong, M Puangpool & S Banjongjit, Maximally flat FIR filters with prescribed cut-off frequency, Electron Lett, vol 16, pp 514–515, 1980.
  • B C Jinaga & S C Dutta Roy, Coefficients of maximally flat low and high pass nonrecursive digital filters with specified cut-off frequency, Signal Processing, vol 9, pp 121–124, 1985.
  • P P Vaidyanathan, Efficient and multiplierless design of FIR filters with very sharp cutoff via maximally flat building blocks, IEEE Trans, vol CAS-32, pp 236–244, 1985.
  • P P Vaidyanathan, Optimal design of linear phase FIR digital filters with very flat passband and equiripple stopbands, IEEE Trans, vol CAS-32, pp 904–907, 1985.
  • A V Oppenheim, W F G Mecklenbrauker & R M Mersereau, Variable cutoff linear phase digital filters, IEEE Trans, vol CAS-23, pp 199–203, 1976.
  • P J Davis, Interpolation and Approximation, New York: Dover, 1975.
  • L E Bergeron, A maximally-flat filter design algorithm for Quadrature Mirror Filter (QMF), IEEE Int Conf Acoust, Speech, Signal Processing, Washington DC, pp 828–831, 1979.
  • G G Lorentz, Bernstein polynomial, Toronto, 1953.
  • L R Rajagopal & S C Dutta Roy, Design of maximally-flat FIR filters using the Bernstein polynomial, IEEE Trans, vol CAS-34, pp 1587–1590, 1987.
  • L R Rajagopal & S C Dutta Roy, A matrix approach for the coefficients of maximally-flat FIR filters expressed in powers of cos w, Electron Lett, vol 18, pp 391–393, 1987.
  • C J Greaves, G A Gagne & C W Bordner, Evaluation of integrals appearing in minimization problems of discrete-data systems, IEEE Trans, vol AC-11, pp 145–148, 1966.
  • E I Jury & O W C Chen, Combinatorial Rules for some useful transformations, IEEE Trans, vol CT-10, pp 476–480, 1973.
  • N K Bose, Properties of the Q-matrix in bilinear transformation, Proc IEEE, vol 71, pp 1110–1111, 1983.
  • L R Rajagopal & S C Dutta Roy, A matrix approach for the coefficients of maximally-flat FIR filter transfer functions, IEEE Trans ASSP, (to appear)
  • L R Rajagopal & S C Dutta Roy, Design of optimal maximally fiat FIR filters using the Bernstein polynomial, Int Symp Electronic Devices, Circuits and Systems, Kharagpur, India, 1987.
  • S C Dutta Roy & L R Rajagopal, A new approach to the design of maximally-flat and monotonic FIR filters, Indo-US workshop on Systems and Signal Processing, Bangalore, Jan 1988.
  • L R Rajagopal & S C Dutta Roy, Design of optimal maximally- flat FIR filters with arbitrary magnitude specifications, IEEE Trans ASSP, (to appear).
  • L R Rajagopal & S C Dutta Roy, A new class of monotone quadrature mirror filters, Sym Signals, Systems and Sonars - 88, Cochin, India, March 1988.
  • R E Crochiere & L R Rabiner, Multirate Digital Signal Processing, Englewood Cliffs, New Jersey; Prentice-Hall, 1983.
  • S M Kay & S L Marple, Spectrum analysis—a modern perspective, Proc IEEE, vol 69, pp 1380–1419, 1981.
  • J D Johnston, A filter family designed for use in quadrature mirror filter banks, IEEE Int Conf Acoust Speech, Signal Processing, pp 291–294, 1980.
  • V K Jain & R E Crochiere, A novel approach to the design of analysis/synthesis filter banks, IEEE Int Conf Acoust, Speech, Signal Processing, Boston, pp 228–231, 1983.
  • L C W Dixon, Nonlinear Optimization, London: The English Universities press, 1972.

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