One class of wide-band amplifiers with monotonic step response

This paper describes wide-band amplifiers that were designed using the first semi-period of the sin^k t function as an approximation of their impulse response. For this class of amplifier, with monotonic step response, one can establish a simple relationship between the delay-to-rise-time ratio and the order of transfer function. Choosing the order, one can find the transfer function roots and, hence, finish the design. To simplify the design, the delay-to-rise-time ratio and the transfer function roots are given for the transfer functions from the fourth 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 percent.