Accession Number : AD0436696


Title :   TRANSMISSION ZERO SYNTHESIS USING CONGRUENCE TRANSFORMATIONS,


Corporate Author : CASE INST OF TECH CLEVELAND OHIO


Personal Author(s) : Stahl,John P


Report Date : 28 Jan 1964


Pagination or Media Count : 66


Abstract : The use of a congruence transformation is considered in the synthesis of a lossless 2-port coupling network loaded with a resistor. Both the transmission zeros and the open circuit natural frequencies of the network are prescribed. Because of the ease with which it may be synthesized, a resistance-terminated lossless ladder network is determined which has the prescribed open circuit natural frequencies, but which has all transmission zeros at infinity and a congruence transformation which preserves these open circuit natural frequencies. It is then used to shift the transmission zeros from infinity to the locations specified. It is demonstrated that when the lossless part of the original network is transformed by a real nonsingular transformation matrix, the transmission zeros of the transformed network may exist almost anywhere in the s plane but must have quadrantal symmetry. A method is presented which determines this matrix when the location of the new transmission zeros is specified, and it is shown that this matrix always exists. Transformerless networks are considered and a set of conditions on the transformation matrix is formulated which must be satisfied if the transformed network is to exist with transformers. (Author)


Descriptors :   *TRANSFORMATIONS(MATHEMATICS) , COUPLING CIRCUITS , MATRICES(MATHEMATICS) , NETWORKS , ADMITTANCE , ELECTRICAL IMPEDANCE , VOLTAGE , THEOREMS


Distribution Statement : APPROVED FOR PUBLIC RELEASE