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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.
Circuits and Systems, 2003. ISCAS '03. Proceedings of the 2003 International Symposium on (Volume:1 )
Date of Conference: 25-28 May 2003