Maximally flat property and bandwidth enhancing by transfer function zeroes

The paper describes an extension, at the approximation level, of shunt-peaking technique to increase the filter/amplifier bandwidth. The frequency dependent square modulus of transfer function is multiplied by a polynomial of squared frequency. Using a standard procedure of restoration one finds the new transfer function which is the result of multiplication of initial transfer function by the zeros defined by this polynomial of squared frequency. This new transfer function is characterized by a faster step-transient response of smaller delay and lower overshoot in comparison with initial function which did not include the zeros. An example of sixth order Butterworth filter is considered to demonstrate the modifications of step-transient response depending on the number of zeros. The procedure can also result in pole-zero cancellation simplifying the transfer function for given step-transient response.