9.1.1

Develop the equivalent resistance expression in Table 9.1-1 for the series switched capacitor resistor emulation circuit.

9.1.2

Develop the equivalent resistance expression in Table 9.1-1 for the bilinear switched capacitor resistor emulation circuit.

9.1.3

What is the accuracy of a time constant implemented with a resistor and capacitor having a tolerance of 10% and 5%, respectively. What is the accuracy of a time constant implemented by a switched capacitor resistor emulation and a capacitor if the tolerances of the capacitors are 5% and the relative tolerance is 0.5%. Assume that the clock frequency is perfectly accurate.

9.1.4

Repeat Example 9.1-3 using a series switched capacitor resistor emulation.

9.1.5

Find the z-domain transfer function for the circuit shown in Fig. P9.1-5. Let a = C ₂/C ₁ and find an expression for the discrete time frequency response following the methods of Example 9.1-4. Design (find ?) a first-order, high-pass circuit having a ?3 dB frequency of 1 kHz following the methods of Example 9.1-5. Assume that the clock frequency is 100 kHz. Plot the frequency response for the resulting discrete time circuit and compare with a first-order, high-pass, continuous time circuit having a ?3 dB frequency of 1 kHz and a gain of unity at high frequency.

Figure P9.1-5

9.2.1

Figure P9.2-1 shows two inverting summing amplifiers. Compare the closed-loop frequency response of these two summing amplifiers if the op amp is modeled by A _vd(0) = 10,000 and...