. Circuit theory of linear noisy networks. Electronic circuits; Amplifiers (Electronics); Noise. 64 NETWORK REALIZATION OF OPTIMUM PERFORMANCE [Ch. 7 where P' = 2RPR+ = RPR-^ = â â [: -?] () Combining Eqs. 7,18 and , we obtain for the noise measure, Eq. , w^SV^w 1 M. = w\F' - T'F'T'^)w kTo Af () with Lw2j ^ 2lyi-y2\ The noise measure expressed in terms of the voltage and current variables is optimized when y is an eigenvector of the noise matrix N. Correspond- ingly, the noise measure is also optimized in terms of the wave formulation if w is an eigenvector of the noise matrix
. Circuit theory of linear noisy networks. Electronic circuits; Amplifiers (Electronics); Noise. 64 NETWORK REALIZATION OF OPTIMUM PERFORMANCE [Ch. 7 where P' = 2RPR+ = RPR-^ = â â [: -?] () Combining Eqs. 7,18 and , we obtain for the noise measure, Eq. , w^SV^w 1 M. = w\F' - T'F'T'^)w kTo Af () with Lw2j ^ 2lyi-y2\ The noise measure expressed in terms of the voltage and current variables is optimized when y is an eigenvector of the noise matrix N. Correspond- ingly, the noise measure is also optimized in terms of the wave formulation if w is an eigenvector of the noise matrix N' = (P' - T'P'T'"^)-i8'5 /T>/rr/t\-iFFT () The requirement that Re (>'2^^V3'/^^) > 0 imposed on the eigenvector y^^^ imposes a corresponding limitation on w^^\ From Eq. , ^2. (Zs"" - 1\ U^* + 1/ () Thus, W2/W1 is the negative-conjugate reflection coefficient corresponding to the source impedance Zs. Therefore, we must have ^2 < 1 () From Eqs. , , , and , it is easily found that, for the net- work of Fig. , N' = 5/ 2s /S /* \u? - 1 l-dTW \u\^di 82 IwP - 1 -IT^ 21 J (). 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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