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One class of transfer functions with monotonic step response

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1 Author(s)
Filanovsky, I.M. ; Alberta Univ., Edmonton, Alta., Canada

The paper describes the transfer functions with monotonic step response. These functions required in design of wide-band pulse amplifiers were synthesized using the first semi-period of the sin2 (πt/τ)function as an approximation to the impulse response. For this class of transfer functions the delay-to-rise-time ratio is equal to π/τ. The order of transfer function is found from one of two inequalities defining whether the transfer function is even or odd. To simplify the design the delay-to-rise-time ratio and the corresponding poles are given for the transfer functions from the forth to tenth order. The delay-to-rise-time ratio of the proposed transfer functions is better than that of Bessel or Gaussian filter functions by fifteen to twenty five percents.

Published in:

Circuits and Systems, 2003. ISCAS '03. Proceedings of the 2003 International Symposium on  (Volume:1 )

Date of Conference:

25-28 May 2003