. The Bell System technical journal . Fig. 19—Squared Tchebycheff polynomials, i-Vl{x), for n = 5, and e = and « = Fig. 20—Transfer function expressed in eq. (18) for the values of n and e shown in Fig. 19. Returning to the problem of reactive equalization, for // odd, e-F^(.r)may be expressed as eWl{x) = e2( + + • • • + C„.r). (19) Thus, any A, of eq. (15) is given by aI = e-C . By using the expressionsfor Fi(.v) through V&{x) tabulated previously, or eq. (17), it is a very simpletask to fmd the C, for any desired //. Thus, V\{x) = C\x- + * + • • • is readily asc

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. The Bell System technical journal . Fig. 19—Squared Tchebycheff polynomials, i-Vl{x), for n = 5, and e = and « = Fig. 20—Transfer function expressed in eq. (18) for the values of n and e shown in Fig. 19. Returning to the problem of reactive equalization, for // odd, e-F^(.r)may be expressed as eWl{x) = e2( + + • • • + C„.r). (19) Thus, any A, of eq. (15) is given by aI = e-C . By using the expressionsfor Fi(.v) through V&{x) tabulated previously, or eq. (17), it is a very simpletask to fmd the C, for any desired //. Thus, V\{x) = C\x- + * + • • • is readily ascertained, and the only real problem is the choice of /(.V-) has already been chosen, this is accomplished by an addition of/(.V-) and i-Vn{x) for several values of €-. When a c- is found such thatthe combination, when reciprocated, very closely apjiroximates the specifiedresistance efficiency, B{x-) is completely defmed. 736 BELL SYSTEM TECHNICAL JOURNAL The final expression for i^(.v-) may now be written as i^(.x:2) = fix) + eWlix) = (/!„ + AyX + • • • + Anx) + (A[x~+ ••• -i-A

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Keywords: ., bookcentury1900, bookdecade1920, booksubjecttechnology, bookyear1