. The Bell System technical journal . -o ^^K 7n(i-^m)y2 ^h zmo+7n)y 771 ^2hi 1-771^ ^zh77UJ-771^) zrrv. Fig. 10—General terminal transducers. The transfer constants of both structures are identical being given by T = h[T,{m) + n{m, ;;/)]. (25) At their initial terminals the image impedances are respectively thestandard ones, IFu- and W2k, which have the relations W R R =»^ = ^l+^ + ^»^ (26) 312 BELL SYSTEM TECHNICAL JOURNAL and at their Imal terminals the image impedance relations are functionsof ;;/ and tu, namely, ^ Wn{m., m) ^ R ^ ~ R IVuim, m) ^ [1 + aiU, + iV,)]<\ + Uk + iV, .^j.[l + a

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. The Bell System technical journal . -o ^^K 7n(i-^m)y2 ^h zmo+7n)y 771 ^2hi 1-771^ ^zh77UJ-771^) zrrv. Fig. 10—General terminal transducers. The transfer constants of both structures are identical being given by T = h[T,{m) + n{m, ;;/)]. (25) At their initial terminals the image impedances are respectively thestandard ones, IFu- and W2k, which have the relations W R R =»^ = ^l+^ + ^»^ (26) 312 BELL SYSTEM TECHNICAL JOURNAL and at their Imal terminals the image impedance relations are functionsof ;;/ and tu, namely, ^ Wn{m., m) ^ R ^ ~ R IVuim, m) ^ [1 + aiU, + iV,)]<\ + Uk + iV, .^j.[l + a(t/, + jFA.)] ^ ^ where a = 1 — nr, and a = I — m-m. Since m and m lie betweenzero and unity, it follows that 0 ^ a ^ a < 1. When there is no dissipation in the network elements, Vk = 0 andall these image impedances are pure resistances in all transmittinghands. Then the image impedance ratio y is there real and it can begiven a variety of characteristics depending upon the choice of parame-ters a and a. For the range Uk- = 0 to — 1, 7 as a function of Ui,may have no maximum or minimum

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Keywords: ., bookcentury1900, bookdecade1920, booksubjecttechnology, bookyear1