Two methods for the construction of transfer functions of digital integrators

Two methods for the construction of transfer functions of digital integrators

For access to this article, please select a purchase option:

Buy article PDF
(plus tax if applicable)
Buy Knowledge Pack
10 articles for $120.00
(plus taxes if applicable)

IET members benefit from discounts to all IET publications and free access to E&T Magazine. If you are an IET member, log in to your account and the discounts will automatically be applied.

Learn more about IET membership 

Recommend Title Publication to library

You must fill out fields marked with: *

Librarian details
Your details
Why are you recommending this title?
Select reason:
Electronics Letters — Recommend this title to your library

Thank you

Your recommendation has been sent to your librarian.

The letter describes two methods for the construction of digital-integrator transfer functions with an ideal phase characteristic. The first is based on the approximation of the function ln z by means of continued fractions, and the second consists in the approximation based on the principle of the impulse-response invariance. The transfer functions can be approximated to in both cases by nonrecursive transfer functions in the bilateral z transformation.


    1. 1)
      • J.T. Tou . (1959) , Digital and sampled-data control systems.
    2. 2)
      • A.N. Khovanski . (1956) , Application of continued fractions and their generalisation in numerical analysis.
    3. 3)
      • R. Vích . Approximation in digital-filter synthesis based on time reponse invariance. Electron. Lett. , 442 - 444
    4. 4)
      • D.F. Lawden . The functions Σn=1∞nzzn and associated polynomials. Proc. Cambridge Phil. Soc. , 309 - 314
    5. 5)
      • Vích, R.: `Tables of zeros of z-transforms Σ', Report 40, 1968.
    6. 6)
      • Grebe, H.: `Synthese digitaler Systeme für die Zwecke der digitalen Simulation', 1969, Dissertation, Technische Universität Berlin.

Related content

This is a required field
Please enter a valid email address