On synthesis of wideband multistage amplifiers with monotonic step response

The paper describes synthesis of the transfer function of a multistage wideband amplifier having the monotonic step response. The procedure is based on approximation of a specially chosen impulse response in the time domain. This target impulse response is constructed using a delayed and exponentially attenuated sin² t function. The Laplace transform of this pulse is a transcendental function, yet the real and imaginary parts of this transform may be approximated by the polynomials with alternating zeros. The approximation allows one to obtain a realizable transfer function. The design example shows that the step response of this transfer function is practically monotonic, and, in addition, has a superior delay-to-rise-time ratio.