“…where e and o denote the even and odd modes, respectively, w 1 and w 2 are the lower and upper band edges of the passband, w , is the center frequency of the coupler, and Ue,o(w)l, Ue,O(w)z, and Ue,o(w)3 are the coupling responses in the respective bands. Ue,o(w)l and Ue,o(w)3 can be set to nonzero but very small values [2]. Throughout this paper, out-of-band couplings will be specified as zero.…”