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Properties of digital bandpasses obtained by convolution approximation for zero frequency

Properties of digital bandpasses obtained by convolution approximation for zero frequency

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© The Institution of Electrical Engineers
Published

It is shown how to construct transfer functions of digital filters by means of numerical solution of a certain integral equation, the result of which is the response of a continuous filter to an input signal. For bandpasses with zero transmission for zero frequency this method preserves this zero also for the corresponding digital filter.

Inspec keywords: digital filters; approximation theory

Subjects: Filters and other networks

References

    1. 1)
      • Vích, R.: `Tables of zeros of Z-transforms ', No. 40, Report of the Institute of Radio Engineering & Electronics, 1968.
    2. 2)
      • D.F. Lawden . The function ∑n=1∞ nr zn and associated polynomials. Proc. Cambridge Phil. Soc. , 309 - 314
    3. 3)
      • R. Vích . Selective properties of digital filters obtained by convolution approximation. Electron. Lett. , 1 - 2
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