1. A method of constructing a radio frequency (RF) filter, comprising: designing a radio frequency (RF) filter that includes a signal transmission path having an input and an output, a plurality of resonant elements disposed along the signal transmission path between the input and the output, a plurality of non-resonant elements coupling the resonant elements together to form a stop band having a plurality of transmission zeroes corresponding to respective frequencies of the resonant elements, and at least one sub-band between the transmission zeroes, wherein the non-resonant elements comprise at least one variable non-resonant element for selectively introducing at least one reflection zero within the stop band to create a pass band in one of the at least one sub-bands; changing the order in which the resonant elements are disposed along the signal transmission path to create a plurality of filter solutions; computing a performance parameter for each of the filter solutions; comparing the performance parameters to each other; selecting one of the filter solutions based on the comparison of the computed performance parameters; and constructing the RF filter using the selected filter solution.