By employing a delay line signal processing technique, a mathematical model of an asymmetrical quad microring resonator (QMRR) can be calculated. Four asymmetrical rings are coupled with each other in vertically connected structures of QMRRs are designed. The performance of QMRR structures is demonstrated using two different types of waveguide bus, namely crossing and parallel waveguides. In the MATLAB environment, the frequency spectrum response and accompanying transmittance, phase, and group delay plots are programmed and graphically presented.