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We can take any n-port variables as the excitation, and the remaining September 9, 2015 12 8:50 Broadband Matching... - 9in x 6in b1862-ch01 BROADBAND MATCHING n-port variables as the response. For linear, time-invariant n-ports, their port behavior is completely characterized by giving the relationships among the port voltages and currents. Depending upon the choice of the excitation and response variables, various matrix descriptions are possible, each being presented briefly in a section. For our purposes, we shall deal with the Laplace-transformed variables and assume that all the initial conditions have been set to zero, since they are equivalent to sources.
The third and most useful measure of power flow is called the transducer power gain G which is defined as the ratio of average power delivered to the load to the maximum available average power at the source. It is a function of the two-port parameters, the load and the source impedances. The transducer power gain is the most meaningful description of the power transfer capabilities of a two-port network as it compares the power delivered to the load with the power which the source is capable of supplying under optimum conditions.
4 are satisfied. 85c) for σ > 0. 85c) may not. 85c) will be violated for a = 0. Thus, we conclude that the impedance matrix Z(s) is not positive-real. From the above two examples, we recognize that, without introducing additional theory, it is sometimes difficult to apply the definition to test the positive-realness of a matrix. The first two constraints of the definition are relatively easy to check. However, the third one is somewhat difficult to verify, since the nonnegativedefiniteness of its hermitian part must be investigated for all s in the open RHS.
Beitraege zur Graphentheorie und deren Anwendungen