07.Circuits and Systems - Analog and Digital Signal by John G. Webster (Editor)

By John G. Webster (Editor)

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Denoting the phase of T1 (jω) as θ 1 (ω), we write where For a given second-order low-pass transfer function, d can be found from Eqs. 23a, and 23b. Then a positive solution for QA is sought from Equation (24). Finally, ωA is obtained from If we consider the case of linearizing the phase given in Eq. (30) with a second-order all-pass transfer function, we obtain and the terms given in Eq. (31) are added to the expressions for the parameters a and b for higher order odd transfer functions. Note that a positive result must be found both for QA from Eq.

V1 V0 –5 Figure 10. Direct-current transfer characteristic for circuit in Fig. 9. V1 V0 ER V0 V0 L+ K V1 ER V1 L– Figure 11. Comparator block symbol. ER is reference voltage. Figure 8. Limiter operator. ANALOG COMPUTER CIRCUITS VI Clamp or 5R feedback limiter – 449 V0 + V1 VV V0 = 1 2 10 VP – V0 (a) + RA –ER V2 > 0 – + RB R2 R1 V0 – V0 (a) + V0 V0 = – 10R2 V1 R1 V2 (b) V+ Eh Figure 13. Block symbols: (a) Multiplier. (b) Divider. V1 E RR 1 R2 (b) V0 V0 With hysteresis V+ V+ 0 t 0 t Squegging (c) (d) Figure 12.

Ghausi K. R. Laker Modern Filter Design, Englewood Cliffs, NJ: Prentice-Hall, 1981. 4. P. Klemp Phase shifter yields slope-polarity detection, EDN, 41 (6): 92, 94, 96, 1996. 5. D. J. Comer J. E. McDermid Inductorless bandpass characteristics using all-pass networks, IEEE Trans. Circuit Theory, CT-15 (4), 501–503, 1968. 6. D. T. Comer D. J. Comer J. R. Gonzalez A high-frequency integrable bandpass filter configuration, IEEE Trans. Circuits Syst. II, Analog Digit. , 44 (10): 856–860, 1997. 7. A. Budak Circuit Theory Fundamentals and Applications, 2nd ed, Englewood Cliffs, NJ: Prentice-Hall, 1987.

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