. Circuit theory of linear noisy networks. Electronic circuits; Amplifiers (Electronics); Noise. Impedance Formulation of the Charactenstic^Noise Matrix We shall proceed to a close examination of the stationary-value problem posed in connection with Fig. , at the end of the last section and prove the assertions made about it. A matrix formulation of the problem will be required, which will reduce the problem to one in matrix eigenvalues. The corresponding eigenvalues are those of a new matrix, the "characteristic-noise ; Some general features of the eigenvalues will be stud
. Circuit theory of linear noisy networks. Electronic circuits; Amplifiers (Electronics); Noise. Impedance Formulation of the Charactenstic^Noise Matrix We shall proceed to a close examination of the stationary-value problem posed in connection with Fig. , at the end of the last section and prove the assertions made about it. A matrix formulation of the problem will be required, which will reduce the problem to one in matrix eigenvalues. The corresponding eigenvalues are those of a new matrix, the "characteristic-noise ; Some general features of the eigenvalues will be studied, including their values for two interesting special cases. The effect of lossless imbeddings upon the eigenvalues will be discussed to complete the background for the noise-performance investigations. Matrix Formulation of Stationary-Value Problem The network operation indicated in Fig. is conveniently accom- pUshed by first imbedding the original w-terminal-pair network Z in a lossless 2w-terminal-pair network, as indicated in Fig. Open-circuit- ing all terminal pairs of the resulting w-terminal-pair network Z', except the ith, we achieve the w-to-1-terminal-pair lossless transformation indicated in Fig. The exchangeable power from the ith. terminal pair of the network Z' can be written in matrix form as 1 E/E/* 1 rE^E^t| 19. Please note that these images are extracted from scanned page images that may have been digitally enhanced for readability - coloration and appearance of these illustrations may not perfectly resemble the original Haus, Hermann A; Adler, Richard B. [Cambridge] Technology Press of Massachusetts Institute of Technology
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