Download PDF by Harry Y. F. Lam: Analog and Digital Filters: Design and Realization


By Harry Y. F. Lam

ISBN-10: 0130327557

ISBN-13: 9780130327550

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Extra resources for Analog and Digital Filters: Design and Realization

Sample text

1-8. Consider a filter Fwhose frequency characteristics are shown in Fig. w 2 BUILDING BLOCKS A port, as shown in Fig. 2-I(a), is a pair of terminals with the condition that the instantaneous current entering one terminal will always equal the instantaneous current leaving the other terminal of the port. That is, iin(t) = iout(t) for all t. The reference directions of a I-port and a 2-port are shown in Figs. 2-I(b) and (c), respectively. Note that a three-terminal device may be considered as a 2-port, as shown in Figs.

P2-S Chap. 2 Building Blocks / 43 2-9. Find the transfer functions of the three circuits shown in Fig. P2-9. R, I, + 12 c,t V, - R2 I, + + V2 V, - - 12 + c'-f V2 - (b) (a) R, I, + + c, V, (c) Fig. P2-9 2-10. Find the transfer functions of the three circuits shown in Fig. P2-1O. C2 C, I, R, 1 f- , i ~ I, 12 V2 - ~A 1 + + Y R2 V , I ~ Y - Fig. P2-10(a), (b) + V2 - (b) (a) 12 I 44 Chap. 2 Building Blocks C1 11 + v1 Rl C2 ~ R2 IV ~ i LY 12 + V2 - - (e) Fig. P2-10(c) 2-11. Find a hybrid representation of the 2-port network shown in Fig.

P2-20. (a) Find the transfer function H(s) = VoIVi. (b) If RI C I = RC, show that the circuit is a noninverting integrator. R, ~ + ~-1 v + C1 I Vo C : R . - - ~ Fig. P2-20 2-21. Find the transfer functions VO/Vi of the two circuits shown in Fig. P2-21 + Rn. VI {al ----'1 eF'T ----~II-(--'l/'MIr-. + IF Ln. R VI + Vo (b) Fig. P2-21 2-22. Find the transfer functions Vol Vi of the two circuits shown in Fig. P2-2: Note that these circuits realize a second-order Butterworth low pal filter. Chap. 2 + Building Blocks / 49 + In.

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Analog and Digital Filters: Design and Realization by Harry Y. F. Lam

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