A loop filter in a modified phase locked loop has a proportional path generating first output signal that is proportional to an input signal and an integral path for generating a second output signal that is an integral of the input signal. An additional functional path generates a third output signal that is a predetermined function of the input signal. The predetermined function is of the form f(s)/g(s), where f and g are polynomial functions. An adder combines the first, second, and third output signals into a common output signal.