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A photonic crystal fence is proposed for simultaneous switching noise mitigation in power/ground plane pairs with minimum use of the high dielectric constant for the rods. In particular a 45 degree rotated square lattice consisting in three rows of periodic rows is used for the fence. Broadband and high efficient noise suppression can be still achieved while minimizing the cost of the structure. A sensitivity analysis investigating the impact of 1) the normalized rods radius, 2) the number of rods rows, and 3) the value of the dielectric rods is performed and design parameters for the calculation of the stop bands are extracted. The normalized radius is not sufficient to correctly predict the stop band of the fence; instead multiple design parameters are necessary. It is found that an extra row of high dielectric constant material introduces an attenuation for the noise coefficient of around 8-10 dB per row and multiple stop bands are predicted while increasing the relative dielectric constant of the rods from 50 to 300. A one-dimensional circuit model is finally developed for a quick and efficient prediction of the stop band performances of these structures.