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The relationship between the immittance inverter co- e-cients and the coupling coe-cients is obtained under the non- resonating coupling condition. With the relationship and the deter- minant properties of the transformation matrix, the coupling matrix could be decomposed to many sub-matrixes for fllter designs. The physical signiflcance of the decomposition is discussed. Using this idea, a fllter can be decomposed to a number of sub-fllters, which could be connected by sections of transmission lines with the same characteris- tics kept.

COUPLING MATRIX DECOMPOSITION IN DESIGNS AND APPLICATIONS OF MICROWAVE FILTERS