. The Bell System technical journal . —nm^ vw- c, L, x^ (a) CONVENTIONAL njw^^V-^^^. (b) ACTIVEFig. 2 — Confluent band filters, (a) Conventional, (b) Active. the impedance of the shunt !)ran(h without changing the im-pedance level at the input and output terminals. At the same time theelements assume much more reasonable values. The modified configura-tion together with the active portion is shown in Fig. 2(b). Ising the filter described above, a series of transmission curves werecalculated and are shown in Fig. 3. When ideal elements are assumed,the transmission is e = kV here A = ip
. The Bell System technical journal . —nm^ vw- c, L, x^ (a) CONVENTIONAL njw^^V-^^^. (b) ACTIVEFig. 2 — Confluent band filters, (a) Conventional, (b) Active. the impedance of the shunt !)ran(h without changing the im-pedance level at the input and output terminals. At the same time theelements assume much more reasonable values. The modified configura-tion together with the active portion is shown in Fig. 2(b). Ising the filter described above, a series of transmission curves werecalculated and are shown in Fig. 3. When ideal elements are assumed,the transmission is e = kV here A = ip + kp-{-l) [p4 + kp + (fc2 + 2) p2 + /cp + 1] Wi and P = JO} Calculation of this expression results in the classical characteristiclabeled Ideal Passive. When, however, typical \alues of element re-sistance are introduced, the transmission is e = (ao + «ip + a-ip- -\- azp^ + aip^Y — {hp -f 52^^)^ (J i?2 R, 1\ = R^Cy T, = R2C2 1 22 u Ri ^23 URz A, = uc. A, = L2C2 334 THE BELL SYSTEM TECHNICAL JOURNAL, MARCH 1934: where ao = /?i(l + g) a, = Rr\l\{\ + (/) + 7o + 1\,] + R2r, a.
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