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Simultaneous switching noise (SSN, also called delta-I noise) has become a tremendous challenge to the reliable operation of high speed electronic circuits. Etching narrow slots on the power or ground plane is one of the efficient techniques to isolate the SSN. A new method for modeling SSN of power-ground planes with narrow slot is proposed in this paper. Firstly, the gapped power-ground planes characteristic is derived from a hybrid field-circuit method. This method makes a full use of the gapped power-ground planes physical structure, takes into account both the parallel power-ground planes characteristic and slot coupling effect in one model. Then, the frequency domain transfer function between two ports of power-ground planes can be obtained from this model. Secondly, in order to overcome the conventional fast Fourier transform inevitable flaws, the vector fitting technique is used to approximate the transfer function as a rational function. Finally, the SSN voltage can be derived from this rational function and exciting current.