By Harry Y. F. Lam
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Additional resources for Analog and Digital Filters: Design and Realization
Vz/Vs? F. Vs (t) v, Fig. PI-6 1-7. For the circuit shown in Fig. PI-7, find the steady-state solutions vz(t), and vlt) when (a) vs(t) = cos lOOt (b) vit) = cos 10 5 t VI (t), 16 I Chap. uF. V1 Fig. PI-7 (c) v,(t) = cos 10 8 t (d) Based on the results of (a), (b), and (c), what type of filter is V1/V,? V2 /V, ? V3/V. (e) Find the transfer functions where i = 1,2,3. (0 Sketch the magnitude functions IHi(jco) I for i = 1,2,3. (g) Sketch the phase functions c/Jlco) of Hls) for i = 1,2,3. 1-8. Consider a filter Fwhose frequency characteristics are shown in Fig.
2-5 (c) A noninverting VCVS. (b) A voltage-controlled current source (VCIS), shown in Fig. 2-6(a), is characterized by a relation IB = gcVA' Two realizations of VCIS are given in Figs. 2-6(b) and (c). In Fig. ~-y- I I Fig. 2-6 Voltage-controlled current source. (a) Symbol for a VCIS. (b) A ground-load VCIS. Chap. 2-6 (c) A floating-load VCIS. to speed up the transient response. Also, the resistors are adjusted so that R1R3 = R2R4 to produce, besides other effects, a high internal impedance, and hence the circuit will function more closely as a true current source.
LO] DEBOO, G. J. " IEEE Trans. Circuit Theory CT-14 (May 1967); lOl-2.  THE, L. , and YANAGISAWA, T. " Proc. IEEE 65 (1977); lO71-2. PROBLEMS 2-1. An FET has a small signal circuit model shown in Fig. s ~ lO-3 mhos, and rds ~ 300Kfl. Find the admittance, the impedance, and a hybrid representation of the FET small-signal circuit model. o G~ + + s S Fig. P2-1 39 40 I Chap. 2 Building Blocks 2·2. A small signal equivalent circuit of a transistor is shown in Fig. , C. , Y. 98. Find the admittance, the impedance, and a hybrid representation of the transistor equivalent circuit.